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Example 1 with VolVariable

use of cbit.vcell.math.VolVariable in project vcell by virtualcell.

the class MatlabOdeFileCoder method write_V6_MFile.

/**
 * Insert the method's description here.
 * Creation date: (3/8/00 10:31:52 PM)
 */
public void write_V6_MFile(java.io.PrintWriter pw, String functionName) throws MathException, ExpressionException {
    MathDescription mathDesc = simulation.getMathDescription();
    if (!mathDesc.isValid()) {
        throw new MathException("invalid math description\n" + mathDesc.getWarning());
    }
    if (mathDesc.isSpatial()) {
        throw new MathException("spatial math description, cannot create ode file");
    }
    if (mathDesc.hasFastSystems()) {
        throw new MathException("math description contains algebraic constraints, cannot create .m file");
    }
    // 
    // print function declaration
    // 
    pw.println("function [T,Y,yinit,param, allNames, allValues] = " + functionName + "(argTimeSpan,argYinit,argParam)");
    pw.println("% [T,Y,yinit,param] = " + functionName + "(argTimeSpan,argYinit,argParam)");
    pw.println("%");
    pw.println("% input:");
    pw.println("%     argTimeSpan is a vector of start and stop times (e.g. timeSpan = [0 10.0])");
    pw.println("%     argYinit is a vector of initial conditions for the state variables (optional)");
    pw.println("%     argParam is a vector of values for the parameters (optional)");
    pw.println("%");
    pw.println("% output:");
    pw.println("%     T is the vector of times");
    pw.println("%     Y is the vector of state variables");
    pw.println("%     yinit is the initial conditions that were used");
    pw.println("%     param is the parameter vector that was used");
    pw.println("%     allNames is the output solution variable names");
    pw.println("%     allValues is the output solution variable values corresponding to the names");
    pw.println("%");
    pw.println("%     example of running this file: [T,Y,yinit,param,allNames,allValues] = myMatlabFunc; <-(your main function name)");
    pw.println("%");
    VariableHash varHash = new VariableHash();
    for (Variable var : simulationSymbolTable.getVariables()) {
        varHash.addVariable(var);
    }
    Variable[] variables = varHash.getTopologicallyReorderedVariables();
    CompartmentSubDomain subDomain = (CompartmentSubDomain) mathDesc.getSubDomains().nextElement();
    // 
    // collect "true" constants (Constants without identifiers)
    // 
    // 
    // collect "variables" (VolVariables only)
    // 
    // 
    // collect "functions" (Functions and Constants with identifiers)
    // 
    Vector<Constant> constantList = new Vector<Constant>();
    Vector<VolVariable> volVarList = new Vector<VolVariable>();
    Vector<Variable> functionList = new Vector<Variable>();
    for (int i = 0; i < variables.length; i++) {
        if (variables[i] instanceof Constant) {
            Constant constant = (Constant) variables[i];
            String[] symbols = constant.getExpression().getSymbols();
            if (symbols == null || symbols.length == 0) {
                constantList.addElement(constant);
            } else {
                functionList.add(constant);
            }
        } else if (variables[i] instanceof VolVariable) {
            volVarList.addElement((VolVariable) variables[i]);
        } else if (variables[i] instanceof Function) {
            functionList.addElement(variables[i]);
        }
    }
    Constant[] constants = (Constant[]) BeanUtils.getArray(constantList, Constant.class);
    VolVariable[] volVars = (VolVariable[]) BeanUtils.getArray(volVarList, VolVariable.class);
    Variable[] functions = (Variable[]) BeanUtils.getArray(functionList, Variable.class);
    int numVars = volVarList.size() + functionList.size();
    String varNamesForStringArray = "";
    String varNamesForValueArray = "";
    for (Variable var : volVarList) {
        varNamesForStringArray = varNamesForStringArray + "'" + var.getName() + "';";
        varNamesForValueArray = varNamesForValueArray + var.getName() + " ";
    }
    for (Variable func : functionList) {
        varNamesForStringArray = varNamesForStringArray + "'" + func.getName() + "';";
        varNamesForValueArray = varNamesForValueArray + func.getName() + " ";
    }
    pw.println("");
    pw.println("%");
    pw.println("% Default time span");
    pw.println("%");
    double beginTime = 0.0;
    double endTime = simulation.getSolverTaskDescription().getTimeBounds().getEndingTime();
    pw.println("timeSpan = [" + beginTime + " " + endTime + "];");
    pw.println("");
    pw.println("% output variable lengh and names");
    pw.println("numVars = " + numVars + ";");
    pw.println("allNames = {" + varNamesForStringArray + "};");
    pw.println("");
    pw.println("if nargin >= 1");
    pw.println("\tif length(argTimeSpan) > 0");
    pw.println("\t\t%");
    pw.println("\t\t% TimeSpan overridden by function arguments");
    pw.println("\t\t%");
    pw.println("\t\ttimeSpan = argTimeSpan;");
    pw.println("\tend");
    pw.println("end");
    pw.println("%");
    pw.println("% Default Initial Conditions");
    pw.println("%");
    pw.println("yinit = [");
    for (int j = 0; j < volVars.length; j++) {
        Expression initial = subDomain.getEquation(volVars[j]).getInitialExpression();
        double defaultInitialCondition = 0;
        try {
            initial.bindExpression(mathDesc);
            defaultInitialCondition = initial.evaluateConstant();
            pw.println("\t" + defaultInitialCondition + ";\t\t% yinit(" + (j + 1) + ") is the initial condition for '" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(volVars[j].getName()) + "'");
        } catch (ExpressionException e) {
            e.printStackTrace(System.out);
            pw.println("\t" + initial.infix_Matlab() + ";\t\t% yinit(" + (j + 1) + ") is the initial condition for '" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(volVars[j].getName()) + "'");
        // throw new RuntimeException("error evaluating initial condition for variable "+volVars[j].getName());
        }
    }
    pw.println("];");
    pw.println("if nargin >= 2");
    pw.println("\tif length(argYinit) > 0");
    pw.println("\t\t%");
    pw.println("\t\t% initial conditions overridden by function arguments");
    pw.println("\t\t%");
    pw.println("\t\tyinit = argYinit;");
    pw.println("\tend");
    pw.println("end");
    pw.println("%");
    pw.println("% Default Parameters");
    pw.println("%   constants are only those \"Constants\" from the Math Description that are just floating point numbers (no identifiers)");
    pw.println("%   note: constants of the form \"A_init\" are really initial conditions and are treated in \"yinit\"");
    pw.println("%");
    pw.println("param = [");
    int paramIndex = 0;
    for (int i = 0; i < constants.length; i++) {
        pw.println("\t" + constants[i].getExpression().infix_Matlab() + ";\t\t% param(" + (paramIndex + 1) + ") is '" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(constants[i].getName()) + "'");
        paramIndex++;
    }
    pw.println("];");
    pw.println("if nargin >= 3");
    pw.println("\tif length(argParam) > 0");
    pw.println("\t\t%");
    pw.println("\t\t% parameter values overridden by function arguments");
    pw.println("\t\t%");
    pw.println("\t\tparam = argParam;");
    pw.println("\tend");
    pw.println("end");
    pw.println("%");
    pw.println("% invoke the integrator");
    pw.println("%");
    pw.println("[T,Y] = ode15s(@f,timeSpan,yinit,odeset('OutputFcn',@odeplot),param,yinit);");
    pw.println("");
    pw.println("% get the solution");
    pw.println("all = zeros(size(T), numVars);");
    pw.println("for i = 1:size(T)");
    pw.println("\tall(i,:) = getRow(T(i), Y(i,:), yinit, param);");
    pw.println("end");
    pw.println("");
    pw.println("allValues = all;");
    pw.println("end");
    // get row data for solution
    pw.println("");
    pw.println("% -------------------------------------------------------");
    pw.println("% get row data");
    pw.println("function rowValue = getRow(t,y,y0,p)");
    // 
    // print volVariables (in order and assign to var vector)
    // 
    pw.println("\t% State Variables");
    for (int i = 0; i < volVars.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(volVars[i].getName()) + " = y(" + (i + 1) + ");");
    }
    // 
    // print constants
    // 
    pw.println("\t% Constants");
    paramIndex = 0;
    for (int i = 0; i < constants.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(constants[i].getName()) + " = p(" + (paramIndex + 1) + ");");
        paramIndex++;
    }
    // 
    // print variables
    // 
    pw.println("\t% Functions");
    for (int i = 0; i < functions.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(functions[i].getName()) + " = " + functions[i].getExpression().infix_Matlab() + ";");
    }
    pw.println("");
    pw.println("\trowValue = [" + varNamesForValueArray + "];");
    pw.println("end");
    // 
    // print ode-rate
    // 
    pw.println("");
    pw.println("% -------------------------------------------------------");
    pw.println("% ode rate");
    pw.println("function dydt = f(t,y,p,y0)");
    // 
    // print volVariables (in order and assign to var vector)
    // 
    pw.println("\t% State Variables");
    for (int i = 0; i < volVars.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(volVars[i].getName()) + " = y(" + (i + 1) + ");");
    }
    // 
    // print constants
    // 
    pw.println("\t% Constants");
    paramIndex = 0;
    for (int i = 0; i < constants.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(constants[i].getName()) + " = p(" + (paramIndex + 1) + ");");
        paramIndex++;
    }
    // 
    // print variables
    // 
    pw.println("\t% Functions");
    for (int i = 0; i < functions.length; i++) {
        pw.println("\t" + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(functions[i].getName()) + " = " + functions[i].getExpression().infix_Matlab() + ";");
    }
    pw.println("\t% Rates");
    pw.println("\tdydt = [");
    for (int i = 0; i < volVars.length; i++) {
        pw.println("\t\t" + subDomain.getEquation(volVars[i]).getRateExpression().infix_Matlab() + ";    % rate for " + cbit.vcell.parser.SymbolUtils.getEscapedTokenMatlab(volVars[i].getName()));
    }
    pw.println("\t];");
    pw.println("end");
}
Also used : Variable(cbit.vcell.math.Variable) VolVariable(cbit.vcell.math.VolVariable) MathDescription(cbit.vcell.math.MathDescription) VolVariable(cbit.vcell.math.VolVariable) VariableHash(cbit.vcell.math.VariableHash) Constant(cbit.vcell.math.Constant) ExpressionException(cbit.vcell.parser.ExpressionException) Function(cbit.vcell.math.Function) Expression(cbit.vcell.parser.Expression) MathException(cbit.vcell.math.MathException) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) Vector(java.util.Vector)

Example 2 with VolVariable

use of cbit.vcell.math.VolVariable in project vcell by virtualcell.

the class TestingFrameworkWindowManager method getVariableNamesToCompare.

// /**
// * Insert the method's description here.
// * Creation date: (11/23/2004 1:53:11 PM)
// * @return java.lang.String[]
// * @param sim1 cbit.vcell.solver.Simulation
// * @param sim2 cbit.vcell.solver.Simulation
// */
// private VariablePair[] getVariableNamesToCompare(BioModel testBioModel,SimulationSymbolTable testSymboltable, SimulationSymbolTable refSymbolTable){
// Vector<VariablePair> variablePairs = new Vector<VariablePair>();
// 
// //
// // get Variables from Simulation 1
// //
// Variable refVars[] = refSymbolTable.getVariables();
// for (int i = 0;refVars!=null && i < refVars.length; i++){
// if (refVars[i] instanceof VolVariable ||
// refVars[i] instanceof StochVolVariable ||
// refVars[i] instanceof MemVariable ||
// refVars[i] instanceof VolumeRegionVariable ||
// refVars[i] instanceof MembraneRegionVariable ||
// refVars[i] instanceof FilamentVariable ||
// refVars[i] instanceof FilamentRegionVariable){
// 
// VariablePair varPair = new VariablePair();
// varPair.refVariable = refVars[i];
// varPair.domain = refVars[i].getDomain();
// varPair.testVariable = null;
// variablePairs.add(varPair);
// }
// //		Constant sensitivityParameter = simSymbolTable1.getSimulation().getSolverTaskDescription().getSensitivityParameter();
// //		if (sensitivityParameter != null) {
// //			if (simVars[i] instanceof VolVariable) {
// //				hashSet.add(SensVariable.getSensName((VolVariable)simVars[i], sensitivityParameter));
// //			}
// //		}
// }
// 
// //
// // add Variables from Simulation 2
// //
// Variable[] testVars = testSymboltable.getVariables();
// for (int i = 0;testVars!=null && i < testVars.length; i++){
// if (testVars[i] instanceof VolVariable ||
// testVars[i] instanceof MemVariable ||
// testVars[i] instanceof VolumeRegionVariable ||
// testVars[i] instanceof MembraneRegionVariable ||
// testVars[i] instanceof FilamentVariable ||
// testVars[i] instanceof FilamentRegionVariable){
// 
// if(testVars[i].getDomain() == null){
// boolean BFoundMatchingName = false;
// for (int j = 0; j < variablePairs.size(); j++) {
// VariablePair varPair = variablePairs.elementAt(j);
// if(varPair.refVariable.getName().equals(testVars[i].getName())){
// varPair.testVariable = testVars[i];
// BFoundMatchingName = true;
// break;
// }
// }
// if(!BFoundMatchingName){
// //Try to find other matching variable types (e.g. functions)
// Variable dataSet1Match = refSymbolTable.getVariable(testVars[i].getName());
// if(dataSet1Match != null){
// VariablePair varPair = new VariablePair();
// varPair.refVariable = dataSet1Match;
// varPair.testVariable = testVars[i];
// varPair.domain = varPair.refVariable.getDomain();
// variablePairs.add(varPair);
// }else{
// SpeciesContext testSpeciescontext0 = testBioModel.getModel().getSpeciesContext(testVars[i].getName());
// if(testSpeciescontext0 != null){
// Species refspecies = testSpeciescontext0.getSpecies();
// Variable refVariable = refSymbolTable.getVariable(refspecies.getCommonName());
// if(refVariable != null){
// VariablePair varPair = new VariablePair();
// varPair.refVariable = refVariable;
// varPair.testVariable = testVars[i];
// varPair.domain = varPair.refVariable.getDomain();
// variablePairs.add(varPair);
// }
// }else{
// Species testSpecies = testBioModel.getModel().getSpecies(testVars[i].getName());
// if(testSpecies != null){
// for (int j = 0; j < testBioModel.getModel().getSpeciesContexts().length; j++) {
// if(testBioModel.getModel().getSpeciesContexts()[j].getSpecies() == testSpecies){
// Variable refVar = refSymbolTable.getVariable(testBioModel.getModel().getSpeciesContexts()[j].getName());
// if(refVar != null){
// VariablePair varPair = new VariablePair();
// varPair.refVariable = refVar;
// varPair.testVariable = testVars[i];
// varPair.domain = varPair.refVariable.getDomain();
// variablePairs.add(varPair);
// }
// }
// }
// }
// }
// }
// }
// }else{
// 
// }
// hashSet.add(simVars[i].getName());
// }
// Constant sensitivityParameter = refSymbolTable.getSimulation().getSolverTaskDescription().getSensitivityParameter();
// if (sensitivityParameter != null) {
// if (simVars[i] instanceof VolVariable) {
// hashSet.add(SensVariable.getSensName((VolVariable)simVars[i], sensitivityParameter));
// }
// }
// }
// 
// return (String[])hashSet.toArray(new String[hashSet.size()]);
// }
/**
 * Insert the method's description here.
 * Creation date: (11/23/2004 1:53:11 PM)
 * @return java.lang.String[]
 * @param sim1 cbit.vcell.solver.Simulation
 * @param sim2 cbit.vcell.solver.Simulation
 */
private String[] getVariableNamesToCompare(SimulationSymbolTable simSymbolTable1, SimulationSymbolTable simSymbolTable2) {
    java.util.HashSet<String> hashSet = new java.util.HashSet<String>();
    // 
    // get Variables from Simulation 1
    // 
    Variable[] simVars = simSymbolTable1.getVariables();
    for (int i = 0; simVars != null && i < simVars.length; i++) {
        if (simVars[i] instanceof VolVariable || simVars[i] instanceof StochVolVariable || simVars[i] instanceof MemVariable || simVars[i] instanceof VolumeRegionVariable || simVars[i] instanceof MembraneRegionVariable || simVars[i] instanceof FilamentVariable || simVars[i] instanceof FilamentRegionVariable) {
            hashSet.add(simVars[i].getName());
        }
        Constant sensitivityParameter = simSymbolTable1.getSimulation().getSolverTaskDescription().getSensitivityParameter();
        if (sensitivityParameter != null) {
            if (simVars[i] instanceof VolVariable) {
                hashSet.add(SensVariable.getSensName((VolVariable) simVars[i], sensitivityParameter));
            }
        }
    }
    // 
    // add Variables from Simulation 2
    // 
    simVars = simSymbolTable2.getVariables();
    for (int i = 0; simVars != null && i < simVars.length; i++) {
        if (simVars[i] instanceof VolVariable || simVars[i] instanceof MemVariable || simVars[i] instanceof VolumeRegionVariable || simVars[i] instanceof MembraneRegionVariable || simVars[i] instanceof FilamentVariable || simVars[i] instanceof FilamentRegionVariable) {
            hashSet.add(simVars[i].getName());
        }
        Constant sensitivityParameter = simSymbolTable2.getSimulation().getSolverTaskDescription().getSensitivityParameter();
        if (sensitivityParameter != null) {
            if (simVars[i] instanceof VolVariable) {
                hashSet.add(SensVariable.getSensName((VolVariable) simVars[i], sensitivityParameter));
            }
        }
    }
    return (String[]) hashSet.toArray(new String[hashSet.size()]);
}
Also used : SensVariable(cbit.vcell.solver.ode.SensVariable) FilamentVariable(cbit.vcell.math.FilamentVariable) VolVariable(cbit.vcell.math.VolVariable) StochVolVariable(cbit.vcell.math.StochVolVariable) MembraneRegionVariable(cbit.vcell.math.MembraneRegionVariable) VolumeRegionVariable(cbit.vcell.math.VolumeRegionVariable) MemVariable(cbit.vcell.math.MemVariable) FilamentRegionVariable(cbit.vcell.math.FilamentRegionVariable) Variable(cbit.vcell.math.Variable) MembraneRegionVariable(cbit.vcell.math.MembraneRegionVariable) VolVariable(cbit.vcell.math.VolVariable) StochVolVariable(cbit.vcell.math.StochVolVariable) FilamentRegionVariable(cbit.vcell.math.FilamentRegionVariable) Constant(cbit.vcell.math.Constant) VolumeRegionVariable(cbit.vcell.math.VolumeRegionVariable) MemVariable(cbit.vcell.math.MemVariable) FilamentVariable(cbit.vcell.math.FilamentVariable) StochVolVariable(cbit.vcell.math.StochVolVariable) HashSet(java.util.HashSet)

Example 3 with VolVariable

use of cbit.vcell.math.VolVariable in project vcell by virtualcell.

the class SimulationWorkspace method getExpectedSizeBytes.

/**
 * Insert the method's description here.
 * Creation date: (6/12/2001 10:09:25 AM)
 * @return boolean
 * @param simulation cbit.vcell.solver.Simulation
 */
private static long getExpectedSizeBytes(SimulationSymbolTable simSymbolTable) {
    Simulation simulation = simSymbolTable.getSimulation();
    long numTimepoints;
    if (simulation.getMathDescription().isNonSpatialStoch()) {
        numTimepoints = getEstimatedNumTimePointsForStoch(simSymbolTable);
    } else {
        numTimepoints = getExpectedNumTimePoints(simulation);
    }
    int x, y, z;
    int numVariables = 0;
    if (simulation.isSpatial()) {
        x = simulation.getMeshSpecification().getSamplingSize().getX();
        y = simulation.getMeshSpecification().getSamplingSize().getY();
        z = simulation.getMeshSpecification().getSamplingSize().getZ();
        // 
        // compute number of volume variables only (they are multiplied by x*y*z)
        // 
        numVariables = 0;
        Enumeration<Variable> variables = simulation.getMathDescription().getVariables();
        while (variables.hasMoreElements()) {
            Variable var = variables.nextElement();
            if (var instanceof VolVariable) {
                numVariables++;
            }
        }
    } else {
        x = 1;
        y = 1;
        z = 1;
        numVariables = 0;
        Enumeration<Variable> variables = simulation.getMathDescription().getVariables();
        while (variables.hasMoreElements()) {
            Variable var = variables.nextElement();
            if ((var instanceof VolVariable) || (var instanceof Function)) {
                numVariables++;
            }
        }
    }
    // approximate, don't compute header size since it's negligible whenever we approach quota size anyway...
    // values are actually written as longs
    long expectedSize = numTimepoints * numVariables * x * y * z * 8;
    return expectedSize;
}
Also used : Function(cbit.vcell.math.Function) AnnotatedFunction(cbit.vcell.solver.AnnotatedFunction) VolVariable(cbit.vcell.math.VolVariable) Variable(cbit.vcell.math.Variable) Simulation(cbit.vcell.solver.Simulation) VolVariable(cbit.vcell.math.VolVariable)

Example 4 with VolVariable

use of cbit.vcell.math.VolVariable in project vcell by virtualcell.

the class DiffEquMathMapping method refreshMathDescription.

/**
 * This method was created in VisualAge.
 */
@SuppressWarnings("deprecation")
private void refreshMathDescription() throws MappingException, MatrixException, MathException, ExpressionException, ModelException {
    // All sizes must be set for new ODE models and ratios must be set for old ones.
    simContext.checkValidity();
    // 
    // temporarily place all variables in a hashtable (before binding) and discarding duplicates (check for equality)
    // 
    VariableHash varHash = new VariableHash();
    StructureMapping[] structureMappings = simContext.getGeometryContext().getStructureMappings();
    // 
    // verify that all structures are mapped to subvolumes and all subvolumes are mapped to a structure
    // 
    // Structure structures[] =
    simContext.getGeometryContext().getModel().getStructures();
    // for (int i = 0; i < structures.length; i++){
    // StructureMapping sm = simContext.getGeometryContext().getStructureMapping(structures[i]);
    // if (sm==null || (sm.getGeometryClass() == null)){
    // localIssueList.add(new Issue(structures[i], IssueCategory.StructureNotMapped,"In Application '" + simContext.getName() + "', model structure '"+structures[i].getName()+"' not mapped to a geometry subdomain",Issue.SEVERITY_WARNING));
    // }
    // }
    // SubVolume subVolumes[] = simContext.getGeometryContext().getGeometry().getGeometrySpec().getSubVolumes();
    // for (int i = 0; i < subVolumes.length; i++){
    // Structure[] mappedStructures = simContext.getGeometryContext().getStructuresFromGeometryClass(subVolumes[i]);
    // if (mappedStructures==null || mappedStructures.length==0){
    // localIssueList.add(new Issue(subVolumes[i], IssueCategory.GeometryClassNotMapped,"In Application '" + simContext.getName() + "', geometry subVolume '"+subVolumes[i].getName()+"' not mapped from a model structure",Issue.SEVERITY_WARNING));
    // }
    // }
    // deals with model parameters
    HashMap<VolVariable, EventAssignmentOrRateRuleInitParameter> eventVolVarHash = new HashMap<VolVariable, EventAssignmentOrRateRuleInitParameter>();
    HashMap<Variable, RateRuleRateParameter> rateRuleRateParamHash = new HashMap<Variable, RateRuleRateParameter>();
    ArrayList<SymbolTableEntry> rateRuleVarTargets = new ArrayList<SymbolTableEntry>();
    ArrayList<SymbolTableEntry> assignmentRuleVarTargets = new ArrayList<SymbolTableEntry>();
    ArrayList<SymbolTableEntry> eventAssignTargets = new ArrayList<SymbolTableEntry>();
    Model model = simContext.getModel();
    ModelUnitSystem modelUnitSystem = model.getUnitSystem();
    VCUnitDefinition timeUnit = modelUnitSystem.getTimeUnit();
    ModelParameter[] modelParameters = model.getModelParameters();
    if (simContext.getGeometry().getDimension() == 0) {
        // 
        // global parameters from model (that presently are constants)
        // 
        BioEvent[] bioEvents = simContext.getBioEvents();
        if (bioEvents != null && bioEvents.length > 0) {
            for (BioEvent be : bioEvents) {
                ArrayList<EventAssignment> eventAssignments = be.getEventAssignments();
                if (eventAssignments != null) {
                    for (EventAssignment ea : eventAssignments) {
                        if (!eventAssignTargets.contains(ea.getTarget())) {
                            eventAssignTargets.add(ea.getTarget());
                        }
                    }
                }
            }
        }
        RateRule[] rrs = simContext.getRateRules();
        if (rrs != null && rrs.length > 0) {
            for (RateRule rr : rrs) {
                SymbolTableEntry rrVar = rr.getRateRuleVar();
                if (!rateRuleVarTargets.contains(rrVar)) {
                    rateRuleVarTargets.add(rrVar);
                }
            }
        }
        AssignmentRule[] ars = simContext.getAssignmentRules();
        if (ars != null && ars.length > 0) {
            for (AssignmentRule ar : ars) {
                SymbolTableEntry arVar = ar.getAssignmentRuleVar();
                if (!assignmentRuleVarTargets.contains(arVar)) {
                    assignmentRuleVarTargets.add(arVar);
                }
            }
        }
        for (int j = 0; j < modelParameters.length; j++) {
            Expression modelParamExpr = modelParameters[j].getExpression();
            GeometryClass geometryClass = getDefaultGeometryClass(modelParamExpr);
            VCUnitDefinition paramUnit = modelParameters[j].getUnitDefinition();
            modelParamExpr = getIdentifierSubstitutions(modelParamExpr, paramUnit, geometryClass);
            // if (eventAssignTargets.contains(modelParameters[j]) || rateRuleVarTargets.contains(modelParameters[j])) {
            if (eventAssignTargets.contains(modelParameters[j])) {
                EventAssignmentOrRateRuleInitParameter eap = null;
                try {
                    eap = addEventAssignmentOrRateRuleInitParameter(modelParameters[j], modelParamExpr, PARAMETER_ROLE_EVENTASSIGN_OR_RATERULE_INITCONDN, paramUnit);
                } catch (PropertyVetoException e) {
                    e.printStackTrace(System.out);
                    throw new MappingException(e.getMessage());
                }
                if (geometryClass == null) {
                    GeometryClass[] geometryClasses = simContext.getGeometryContext().getGeometry().getGeometryClasses();
                    geometryClass = geometryClasses[0];
                }
                Domain domain = null;
                if (geometryClass != null) {
                    // the volume variable will look like Compartment::g0 rather than just g0
                    domain = new Domain(geometryClass);
                }
                VolVariable volVar = new VolVariable(modelParameters[j].getName(), domain);
                varHash.addVariable(volVar);
                eventVolVarHash.put(volVar, eap);
            } else if (rateRuleVarTargets.contains(modelParameters[j])) {
                // do nothing, will do elsewhere
                ;
            } else if (assignmentRuleVarTargets.contains(modelParameters[j])) {
                // do nothing, will do elsewhere
                ;
            } else {
                Variable variable = newFunctionOrConstant(getMathSymbol(modelParameters[j], geometryClass), modelParamExpr, geometryClass);
                varHash.addVariable(variable);
            }
        }
    } else {
        for (int j = 0; j < modelParameters.length; j++) {
            Expression modelParamExpr = modelParameters[j].getExpression();
            GeometryClass geometryClass = getDefaultGeometryClass(modelParamExpr);
            modelParamExpr = getIdentifierSubstitutions(modelParamExpr, modelParameters[j].getUnitDefinition(), geometryClass);
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(modelParameters[j], geometryClass), modelParamExpr, geometryClass));
        }
    }
    // 
    for (SimulationContextParameter scParameter : simContext.getSimulationContextParameters()) {
        Expression scParameterExpression = scParameter.getExpression();
        GeometryClass gc = getDefaultGeometryClass(scParameterExpression);
        varHash.addVariable(newFunctionOrConstant(getMathSymbol(scParameter, gc), getIdentifierSubstitutions(scParameter.getExpression(), scParameter.getUnitDefinition(), gc), gc));
    }
    // 
    for (DataSymbol dataSymbol : simContext.getDataContext().getDataSymbols()) {
        if (dataSymbol instanceof FieldDataSymbol) {
            FieldDataSymbol fieldDataSymbol = (FieldDataSymbol) dataSymbol;
            GeometryClass geometryClass = null;
            FieldFunctionArguments ffs = new FieldFunctionArguments(fieldDataSymbol.getExternalDataIdentifier().getName(), fieldDataSymbol.getFieldDataVarName(), new Expression(fieldDataSymbol.getFieldDataVarTime()), VariableType.getVariableTypeFromVariableTypeName(fieldDataSymbol.getFieldDataVarType()));
            Expression exp = new Expression(ffs.infix());
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dataSymbol, geometryClass), getIdentifierSubstitutions(exp, dataSymbol.getUnitDefinition(), geometryClass), geometryClass));
        } else {
            throw new RuntimeException("In Application '" + simContext.getName() + "', dataSymbol type '" + dataSymbol.getClass().getName() + "' not yet supported for math generation");
        }
    }
    // 
    // gather only those reactionSteps that are not "excluded"
    // 
    ReactionSpec[] reactionSpecs = simContext.getReactionContext().getReactionSpecs();
    Vector<ReactionStep> rsList = new Vector<ReactionStep>();
    for (int i = 0; i < reactionSpecs.length; i++) {
        if (reactionSpecs[i].isExcluded() == false) {
            rsList.add(reactionSpecs[i].getReactionStep());
        }
    }
    ReactionStep[] reactionSteps = new ReactionStep[rsList.size()];
    rsList.copyInto(reactionSteps);
    // 
    for (int i = 0; i < reactionSteps.length; i++) {
        Kinetics.UnresolvedParameter[] unresolvedParameters = reactionSteps[i].getKinetics().getUnresolvedParameters();
        if (unresolvedParameters != null && unresolvedParameters.length > 0) {
            StringBuffer buffer = new StringBuffer();
            for (int j = 0; j < unresolvedParameters.length; j++) {
                if (j > 0) {
                    buffer.append(", ");
                }
                buffer.append(unresolvedParameters[j].getName());
            }
            throw new MappingException("In Application '" + simContext.getName() + "', " + reactionSteps[i].getDisplayType() + " '" + reactionSteps[i].getName() + "' contains unresolved identifier(s): " + buffer);
        }
    }
    // 
    // create new MathDescription (based on simContext's previous MathDescription if possible)
    // 
    MathDescription oldMathDesc = simContext.getMathDescription();
    mathDesc = null;
    if (oldMathDesc != null) {
        if (oldMathDesc.getVersion() != null) {
            mathDesc = new MathDescription(oldMathDesc.getVersion());
        } else {
            mathDesc = new MathDescription(oldMathDesc.getName());
        }
    } else {
        mathDesc = new MathDescription(simContext.getName() + "_generated");
    }
    // 
    // volume variables
    // 
    Enumeration<SpeciesContextMapping> enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = enum1.nextElement();
        if (scm.getVariable() instanceof VolVariable) {
            if (!(mathDesc.getVariable(scm.getVariable().getName()) instanceof VolVariable)) {
                varHash.addVariable(scm.getVariable());
            }
        }
    }
    // 
    // membrane variables
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() instanceof MemVariable) {
            varHash.addVariable(scm.getVariable());
        }
    }
    // 
    // volume region variables
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() instanceof VolumeRegionVariable) {
            varHash.addVariable(scm.getVariable());
        }
    }
    // 
    // membrane region variables
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() instanceof MembraneRegionVariable) {
            varHash.addVariable(scm.getVariable());
        }
    }
    // 
    // add compartment and membrane subdomains
    // 
    ArrayList<CompartmentSubdomainContext> compartmentSubdomainContexts = new ArrayList<CompartmentSubdomainContext>();
    ArrayList<MembraneSubdomainContext> membraneSubdomainContexts = new ArrayList<MembraneSubdomainContext>();
    addSubdomains(model, compartmentSubdomainContexts, membraneSubdomainContexts);
    // membrane velocities set on MembraneSubdomains later.
    addSpatialProcesses(varHash, compartmentSubdomainContexts, membraneSubdomainContexts);
    varHash.addVariable(new Constant(getMathSymbol(model.getPI_CONSTANT(), null), getIdentifierSubstitutions(model.getPI_CONSTANT().getExpression(), model.getPI_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getFARADAY_CONSTANT(), null), getIdentifierSubstitutions(model.getFARADAY_CONSTANT().getExpression(), model.getFARADAY_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getFARADAY_CONSTANT_NMOLE(), null), getIdentifierSubstitutions(model.getFARADAY_CONSTANT_NMOLE().getExpression(), model.getFARADAY_CONSTANT_NMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getGAS_CONSTANT(), null), getIdentifierSubstitutions(model.getGAS_CONSTANT().getExpression(), model.getGAS_CONSTANT().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(getMathSymbol(model.getTEMPERATURE(), null), getIdentifierSubstitutions(new Expression(simContext.getTemperatureKelvin()), model.getTEMPERATURE().getUnitDefinition(), null)));
    // 
    // only calculate potential if at least one MembraneMapping has CalculateVoltage == true
    // 
    boolean bCalculatePotential = false;
    for (int i = 0; i < structureMappings.length; i++) {
        if (structureMappings[i] instanceof MembraneMapping) {
            if (((MembraneMapping) structureMappings[i]).getCalculateVoltage()) {
                bCalculatePotential = true;
            }
        }
    }
    potentialMapping = new PotentialMapping(simContext, this);
    if (bCalculatePotential) {
        potentialMapping.computeMath();
        // 
        // copy functions for currents and constants for capacitances
        // 
        ElectricalDevice[] devices = potentialMapping.getElectricalDevices();
        for (int j = 0; j < devices.length; j++) {
            if (devices[j] instanceof MembraneElectricalDevice) {
                MembraneElectricalDevice membraneElectricalDevice = (MembraneElectricalDevice) devices[j];
                MembraneMapping memMapping = membraneElectricalDevice.getMembraneMapping();
                Parameter specificCapacitanceParm = memMapping.getParameterFromRole(MembraneMapping.ROLE_SpecificCapacitance);
                varHash.addVariable(new Constant(getMathSymbol(specificCapacitanceParm, memMapping.getGeometryClass()), getIdentifierSubstitutions(specificCapacitanceParm.getExpression(), specificCapacitanceParm.getUnitDefinition(), memMapping.getGeometryClass())));
                ElectricalDevice.ElectricalDeviceParameter transmembraneCurrentParm = membraneElectricalDevice.getParameterFromRole(ElectricalDevice.ROLE_TransmembraneCurrent);
                ElectricalDevice.ElectricalDeviceParameter totalCurrentParm = membraneElectricalDevice.getParameterFromRole(ElectricalDevice.ROLE_TotalCurrent);
                ElectricalDevice.ElectricalDeviceParameter capacitanceParm = membraneElectricalDevice.getParameterFromRole(ElectricalDevice.ROLE_Capacitance);
                GeometryClass geometryClass = membraneElectricalDevice.getMembraneMapping().getGeometryClass();
                if (totalCurrentParm != null && /* totalCurrentDensityParm.getExpression()!=null && */
                memMapping.getCalculateVoltage()) {
                    Expression totalCurrentDensityExp = (totalCurrentParm.getExpression() != null) ? (totalCurrentParm.getExpression()) : (new Expression(0.0));
                    varHash.addVariable(newFunctionOrConstant(getMathSymbol(totalCurrentParm, geometryClass), getIdentifierSubstitutions(totalCurrentDensityExp, totalCurrentParm.getUnitDefinition(), geometryClass), geometryClass));
                }
                if (transmembraneCurrentParm != null && transmembraneCurrentParm.getExpression() != null && memMapping.getCalculateVoltage()) {
                    varHash.addVariable(newFunctionOrConstant(getMathSymbol(transmembraneCurrentParm, geometryClass), getIdentifierSubstitutions(transmembraneCurrentParm.getExpression(), transmembraneCurrentParm.getUnitDefinition(), geometryClass), geometryClass));
                }
                if (capacitanceParm != null && capacitanceParm.getExpression() != null && memMapping.getCalculateVoltage()) {
                    StructureMappingParameter sizeParameter = membraneElectricalDevice.getMembraneMapping().getSizeParameter();
                    if (simContext.getGeometry().getDimension() == 0 && (sizeParameter.getExpression() == null || sizeParameter.getExpression().isZero())) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(capacitanceParm, geometryClass), getIdentifierSubstitutions(Expression.mult(memMapping.getNullSizeParameterValue(), specificCapacitanceParm.getExpression()), capacitanceParm.getUnitDefinition(), geometryClass), geometryClass));
                    } else {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(capacitanceParm, geometryClass), getIdentifierSubstitutions(capacitanceParm.getExpression(), capacitanceParm.getUnitDefinition(), geometryClass), geometryClass));
                    }
                }
                // 
                if (membraneElectricalDevice.getDependentVoltageExpression() == null) {
                    // is Voltage Independent?
                    StructureMapping.StructureMappingParameter initialVoltageParm = memMapping.getInitialVoltageParameter();
                    varHash.addVariable(newFunctionOrConstant(getMathSymbol(initialVoltageParm, memMapping.getGeometryClass()), getIdentifierSubstitutions(initialVoltageParm.getExpression(), initialVoltageParm.getUnitDefinition(), memMapping.getGeometryClass()), memMapping.getGeometryClass()));
                } else // 
                // membrane forced potential
                // 
                {
                    varHash.addVariable(newFunctionOrConstant(getMathSymbol(memMapping.getMembrane().getMembraneVoltage(), memMapping.getGeometryClass()), getIdentifierSubstitutions(membraneElectricalDevice.getDependentVoltageExpression(), memMapping.getMembrane().getMembraneVoltage().getUnitDefinition(), memMapping.getGeometryClass()), memMapping.getGeometryClass()));
                }
            } else if (devices[j] instanceof CurrentClampElectricalDevice) {
                CurrentClampElectricalDevice currentClampDevice = (CurrentClampElectricalDevice) devices[j];
                // total current = current source (no capacitance)
                Parameter totalCurrentParm = currentClampDevice.getParameterFromRole(CurrentClampElectricalDevice.ROLE_TotalCurrent);
                Parameter currentParm = currentClampDevice.getParameterFromRole(CurrentClampElectricalDevice.ROLE_TransmembraneCurrent);
                // Parameter dependentVoltage = currentClampDevice.getCurrentClampStimulus().getVoltageParameter();
                Feature deviceElectrodeFeature = currentClampDevice.getCurrentClampStimulus().getElectrode().getFeature();
                Feature groundElectrodeFeature = simContext.getGroundElectrode().getFeature();
                Membrane membrane = model.getStructureTopology().getMembrane(deviceElectrodeFeature, groundElectrodeFeature);
                GeometryClass geometryClass = null;
                if (membrane != null) {
                    StructureMapping membraneStructureMapping = simContext.getGeometryContext().getStructureMapping(membrane);
                    geometryClass = membraneStructureMapping.getGeometryClass();
                }
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(totalCurrentParm, geometryClass), getIdentifierSubstitutions(totalCurrentParm.getExpression(), totalCurrentParm.getUnitDefinition(), geometryClass), geometryClass));
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(currentParm, geometryClass), getIdentifierSubstitutions(currentParm.getExpression(), currentParm.getUnitDefinition(), geometryClass), geometryClass));
                // varHash.addVariable(newFunctionOrConstant(getMathSymbol(dependentVoltage,null),getIdentifierSubstitutions(currentClampDevice.getDependentVoltageExpression(),dependentVoltage.getUnitDefinition(),null)));
                // 
                // add user-defined parameters
                // 
                ElectricalDevice.ElectricalDeviceParameter[] parameters = currentClampDevice.getParameters();
                for (int k = 0; k < parameters.length; k++) {
                    if (parameters[k].getExpression() != null) {
                        // guards against voltage parameters that are "variable".
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(parameters[k], null), getIdentifierSubstitutions(parameters[k].getExpression(), parameters[k].getUnitDefinition(), geometryClass), geometryClass));
                    }
                }
            } else if (devices[j] instanceof VoltageClampElectricalDevice) {
                VoltageClampElectricalDevice voltageClampDevice = (VoltageClampElectricalDevice) devices[j];
                Feature deviceElectrodeFeature = voltageClampDevice.getVoltageClampStimulus().getElectrode().getFeature();
                Feature groundElectrodeFeature = simContext.getGroundElectrode().getFeature();
                Membrane membrane = model.getStructureTopology().getMembrane(deviceElectrodeFeature, groundElectrodeFeature);
                GeometryClass geometryClass = null;
                if (membrane != null) {
                    StructureMapping membraneStructureMapping = simContext.getGeometryContext().getStructureMapping(membrane);
                    geometryClass = membraneStructureMapping.getGeometryClass();
                }
                // total current = current source (no capacitance)
                Parameter totalCurrent = voltageClampDevice.getParameterFromRole(VoltageClampElectricalDevice.ROLE_TotalCurrent);
                Parameter totalCurrentParm = voltageClampDevice.getParameterFromRole(VoltageClampElectricalDevice.ROLE_TotalCurrent);
                Parameter voltageParm = voltageClampDevice.getParameterFromRole(VoltageClampElectricalDevice.ROLE_Voltage);
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(totalCurrent, geometryClass), getIdentifierSubstitutions(totalCurrent.getExpression(), totalCurrent.getUnitDefinition(), geometryClass), geometryClass));
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(totalCurrentParm, geometryClass), getIdentifierSubstitutions(totalCurrentParm.getExpression(), totalCurrentParm.getUnitDefinition(), geometryClass), geometryClass));
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(voltageParm, geometryClass), getIdentifierSubstitutions(voltageParm.getExpression(), voltageParm.getUnitDefinition(), geometryClass), geometryClass));
                // 
                // add user-defined parameters
                // 
                ElectricalDevice.ElectricalDeviceParameter[] parameters = voltageClampDevice.getParameters();
                for (int k = 0; k < parameters.length; k++) {
                    if (parameters[k].getRole() == ElectricalDevice.ROLE_UserDefined) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(parameters[k], geometryClass), getIdentifierSubstitutions(parameters[k].getExpression(), parameters[k].getUnitDefinition(), geometryClass), geometryClass));
                    }
                }
            }
        }
    } else {
        // 
        for (int j = 0; j < structureMappings.length; j++) {
            if (structureMappings[j] instanceof MembraneMapping) {
                MembraneMapping memMapping = (MembraneMapping) structureMappings[j];
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(memMapping.getMembrane().getMembraneVoltage(), memMapping.getGeometryClass()), getIdentifierSubstitutions(memMapping.getInitialVoltageParameter().getExpression(), memMapping.getInitialVoltageParameter().getUnitDefinition(), memMapping.getGeometryClass()), memMapping.getGeometryClass()));
            }
        }
    }
    // 
    for (int j = 0; j < structureMappings.length; j++) {
        if (structureMappings[j] instanceof MembraneMapping) {
            MembraneMapping membraneMapping = (MembraneMapping) structureMappings[j];
            Membrane.MembraneVoltage membraneVoltage = membraneMapping.getMembrane().getMembraneVoltage();
            ElectricalDevice[] membraneDevices = potentialMapping.getElectricalDevices(membraneMapping.getMembrane());
            // ElectricalDevice membraneDevice = null;
            for (int i = 0; i < membraneDevices.length; i++) {
                if (membraneDevices[i].hasCapacitance() && membraneDevices[i].getDependentVoltageExpression() == null) {
                    GeometryClass geometryClass = membraneMapping.getGeometryClass();
                    if (geometryClass == null) {
                        throw new MappingException("Application '" + getSimulationContext().getName() + "'\nGeometry->StructureMapping->(" + structureMappings[j].getStructure().getTypeName() + ")'" + structureMappings[j].getStructure().getName() + "' must be mapped to geometry domain.\n(see 'Problems' tab)");
                    }
                    Domain domain = new Domain(geometryClass);
                    if (membraneMapping.getCalculateVoltage() && bCalculatePotential) {
                        if (geometryClass instanceof SurfaceClass) {
                            // 
                            if (mathDesc.getVariable(Membrane.MEMBRANE_VOLTAGE_REGION_NAME) == null) {
                                // varHash.addVariable(new MembraneRegionVariable(MembraneVoltage.MEMBRANE_VOLTAGE_REGION_NAME));
                                varHash.addVariable(new MembraneRegionVariable(getMathSymbol(membraneVoltage, geometryClass), domain));
                            }
                        } else {
                            // 
                            // spatially unresolved membrane, and must solve for potential ... make VolVariable for this compartment
                            // 
                            varHash.addVariable(new VolVariable(getMathSymbol(membraneVoltage, geometryClass), domain));
                        }
                        Parameter initialVoltageParm = membraneMapping.getInitialVoltageParameter();
                        Variable initVoltageFunction = newFunctionOrConstant(getMathSymbol(initialVoltageParm, geometryClass), getIdentifierSubstitutions(initialVoltageParm.getExpression(), initialVoltageParm.getUnitDefinition(), geometryClass), geometryClass);
                        varHash.addVariable(initVoltageFunction);
                    } else {
                        // 
                        // don't calculate voltage, still may need it though
                        // 
                        Parameter initialVoltageParm = membraneMapping.getInitialVoltageParameter();
                        Variable voltageFunction = newFunctionOrConstant(getMathSymbol(membraneMapping.getMembrane().getMembraneVoltage(), geometryClass), getIdentifierSubstitutions(initialVoltageParm.getExpression(), initialVoltageParm.getUnitDefinition(), geometryClass), geometryClass);
                        varHash.addVariable(voltageFunction);
                    }
                }
            }
        }
    }
    // 
    for (int j = 0; j < reactionSteps.length; j++) {
        ReactionStep rs = reactionSteps[j];
        if (simContext.getReactionContext().getReactionSpec(rs).isExcluded()) {
            continue;
        }
        Kinetics.KineticsParameter[] parameters = rs.getKinetics().getKineticsParameters();
        GeometryClass geometryClass = null;
        if (rs.getStructure() != null) {
            geometryClass = simContext.getGeometryContext().getStructureMapping(rs.getStructure()).getGeometryClass();
        }
        if (parameters != null) {
            for (int i = 0; i < parameters.length; i++) {
                if (((parameters[i].getRole() == Kinetics.ROLE_CurrentDensity) || (parameters[i].getRole() == Kinetics.ROLE_LumpedCurrent)) && (parameters[i].getExpression() == null || parameters[i].getExpression().isZero())) {
                    continue;
                }
                String mathSymbol = getMathSymbol(parameters[i], geometryClass);
                Expression expr = getIdentifierSubstitutions(parameters[i].getExpression(), parameters[i].getUnitDefinition(), geometryClass);
                varHash.addVariable(newFunctionOrConstant(mathSymbol, expr, geometryClass));
            }
        }
    }
    // 
    // initial conditions (either function or constant) for rate rule variables that are model parameters
    // 
    // the init variables with expressions still containing variables
    Map<ModelParameter, Variable> initModelParameterHashTmp = new HashMap<>();
    // here we store the init parameter of the model parameter
    Map<EventAssignmentOrRateRuleInitParameter, ModelParameter> rateRuleInitToModelParamMapping = new HashMap<>();
    // here we store the init parameter of the model parameter
    Map<ModelParameter, EventAssignmentOrRateRuleInitParameter> modelParamTorateRuleInitMapping = new HashMap<>();
    for (ModelParameter mp : modelParameters) {
        // initial assignment for global parameter used as rate rule variable
        RateRule rr = simContext.getRateRule(mp);
        if (rr == null) {
            // we only care about global parameters that are rate rule variables
            continue;
        }
        Variable var = varHash.getVariable(mp.getName());
        if (var != null) {
            if (eventVolVarHash.containsKey(var)) {
                System.out.println("Global Parameters that are rate rule Variables should be unmapped at this point, unless they are EventAssignments too.");
            } else {
                throw new MappingException("Global Parameters that are rate rule Variables should be unmapped at this point.");
            }
        }
        Expression modelParamExpr = mp.getExpression();
        if (modelParamExpr == null) {
            continue;
        }
        GeometryClass gc = getDefaultGeometryClass(modelParamExpr);
        VCUnitDefinition paramUnit = modelUnitSystem.getInstance_TBD();
        if (mp.getUnitDefinition() != null && !mp.getUnitDefinition().equals(modelUnitSystem.getInstance_TBD())) {
            paramUnit = mp.getUnitDefinition();
        }
        // TODO: is this really needed? or could I directly use modelParamExpr in addEventAssignmentOrRateRuleInitParameter()
        Expression mpInitExpr = getIdentifierSubstitutions(modelParamExpr, paramUnit, gc);
        EventAssignmentOrRateRuleInitParameter mpInitParam;
        try {
            mpInitParam = addEventAssignmentOrRateRuleInitParameter(mp, mpInitExpr, PARAMETER_ROLE_EVENTASSIGN_OR_RATERULE_INITCONDN, paramUnit);
        } catch (PropertyVetoException e) {
            e.printStackTrace(System.out);
            throw new MappingException(e.getMessage());
        }
        rateRuleInitToModelParamMapping.put(mpInitParam, mp);
        modelParamTorateRuleInitMapping.put(mp, mpInitParam);
    }
    // 
    for (int i = 0; i < fieldMathMappingParameters.length; i++) {
        GeometryClass geometryClass = fieldMathMappingParameters[i].getGeometryClass();
        fieldMathMappingParameters[i].getExpression().bindExpression(this);
        Expression exp = getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass);
        Variable var = newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), exp, geometryClass);
        varHash.addVariable(var);
        ModelParameter mp = rateRuleInitToModelParamMapping.get(fieldMathMappingParameters[i]);
        if (mp != null) {
            initModelParameterHashTmp.put(mp, var);
        }
    }
    // 
    // initial conditions (either function or constant) for species variables
    // 
    SpeciesContextSpec[] speciesContextSpecs = simContext.getReactionContext().getSpeciesContextSpecs();
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        // add initial count if present (!= null)
        SpeciesContextSpecParameter initCountParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_InitialCount);
        SpeciesContext speciesContext = speciesContextSpecs[i].getSpeciesContext();
        if (initCountParm != null && initCountParm.getExpression() != null) {
            Expression initCountExpr = new Expression(initCountParm.getExpression());
            StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContext.getStructure());
            String[] symbols = initCountExpr.getSymbols();
            // Check if 'initExpr' has other speciesContexts in its expression, need to replace it with 'spContext_init'
            for (int j = 0; symbols != null && j < symbols.length; j++) {
                // if symbol is a speciesContext, replacing it with a reference to initial condition for that speciesContext.
                SpeciesContext spC = null;
                SymbolTableEntry ste = initCountExpr.getSymbolBinding(symbols[j]);
                if (ste instanceof SpeciesContextSpecProxyParameter) {
                    SpeciesContextSpecProxyParameter spspp = (SpeciesContextSpecProxyParameter) ste;
                    if (spspp.getTarget() instanceof SpeciesContext) {
                        spC = (SpeciesContext) spspp.getTarget();
                        SpeciesContextSpec spcspec = simContext.getReactionContext().getSpeciesContextSpec(spC);
                        SpeciesContextSpecParameter spCInitParm = spcspec.getParameterFromRole(SpeciesContextSpec.ROLE_InitialCount);
                        // need to get init condn expression, but can't get it from getMathSymbol() (mapping between bio and math), hence get it as below.
                        Expression scsInitExpr = new Expression(spCInitParm, getNameScope());
                        initCountExpr.substituteInPlace(new Expression(spC.getName()), scsInitExpr);
                    }
                }
            }
            // now create the appropriate function for the current speciesContextSpec.
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(initCountParm, sm.getGeometryClass()), getIdentifierSubstitutions(initCountExpr, initCountParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        // add initial concentration (may be derived from initial count if necessary)
        SpeciesContextSpecParameter initConcParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
        if (initConcParm != null) {
            Expression initConcExpr = null;
            if (initConcParm.getExpression() != null) {
                initConcExpr = new Expression(initConcParm.getExpression());
            } else if (initCountParm != null && initCountParm.getExpression() != null) {
                Expression structureSizeExpr = new Expression(speciesContext.getStructure().getStructureSize(), getNameScope());
                VCUnitDefinition concUnit = initConcParm.getUnitDefinition();
                VCUnitDefinition countDensityUnit = initCountParm.getUnitDefinition().divideBy(speciesContext.getStructure().getStructureSize().getUnitDefinition());
                Expression unitFactor = getUnitFactor(concUnit.divideBy(countDensityUnit));
                initConcExpr = Expression.mult(Expression.div(new Expression(initCountParm, getNameScope()), structureSizeExpr), unitFactor);
            }
            StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContext.getStructure());
            String[] symbols = initConcExpr.getSymbols();
            // Check if 'initExpr' has other speciesContexts in its expression, need to replace it with 'spContext_init'
            for (int j = 0; symbols != null && j < symbols.length; j++) {
                // if symbol is a speciesContext, replacing it with a reference to initial condition for that speciesContext.
                SpeciesContext spC = null;
                SymbolTableEntry ste = initConcExpr.getSymbolBinding(symbols[j]);
                if (ste == null) {
                    String msg = initConcParm.getName() == null ? "??" : initConcParm.getName();
                    System.out.println("Unexpected NULL symbol in the initial expression of " + msg);
                } else if (ste instanceof SpeciesContextSpecProxyParameter) {
                    SpeciesContextSpecProxyParameter spspp = (SpeciesContextSpecProxyParameter) ste;
                    if (spspp.getTarget() instanceof SpeciesContext) {
                        spC = (SpeciesContext) spspp.getTarget();
                        SpeciesContextSpec spcspec = simContext.getReactionContext().getSpeciesContextSpec(spC);
                        SpeciesContextSpecParameter spCInitParm = spcspec.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
                        // if initConc param expression is null, try initCount
                        if (spCInitParm.getExpression() == null) {
                            spCInitParm = spcspec.getParameterFromRole(SpeciesContextSpec.ROLE_InitialCount);
                        }
                        // need to get init condn expression, but can't get it from getMathSymbol() (mapping between bio and math), hence get it as below.
                        Expression scsInitExpr = new Expression(spCInitParm, getNameScope());
                        initConcExpr.substituteInPlace(new Expression(spC.getName()), scsInitExpr);
                    }
                } else if (ste instanceof ModelParameter) {
                    ModelParameter mpArg = (ModelParameter) ste;
                    System.out.println(mpArg.getName());
                    if (simContext.getRateRule(mpArg) == null) {
                        // only globals that are RateRule variables need to be replaced with their _init variable
                        continue;
                    }
                    EventAssignmentOrRateRuleInitParameter mpInitParam = modelParamTorateRuleInitMapping.get(mpArg);
                    if (mpInitParam != null) {
                        // we already made it, we only need to use it
                        Expression mpArgInitExpr = new Expression(mpInitParam, getNameScope());
                        initConcExpr.substituteInPlace(new Expression(ste.getName()), mpArgInitExpr);
                    }
                } else {
                    String msg = ste.getName() == null ? "??" : ste.getName();
                    String msg2 = initConcParm.getName() == null ? "??" : initConcParm.getName();
                    System.out.println("Unexpected symbol type for " + msg + " in the initial expression of " + msg2);
                }
            }
            // now create the appropriate function for the current speciesContextSpec.
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(initConcParm, sm.getGeometryClass()), getIdentifierSubstitutions(initConcExpr, initConcParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextMapping scm = getSpeciesContextMapping(speciesContextSpecs[i].getSpeciesContext());
        SpeciesContextSpec.SpeciesContextSpecParameter diffParm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_DiffusionRate);
        if (diffParm != null && (scm.isPDERequired())) {
            StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(diffParm, sm.getGeometryClass()), getIdentifierSubstitutions(diffParm.getExpression(), diffParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpec.SpeciesContextSpecParameter bc_xm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueXm);
        StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
        if (bc_xm != null && (bc_xm.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_xm, sm.getGeometryClass()), getIdentifierSubstitutions(bc_xm.getExpression(), bc_xm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_xp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueXp);
        if (bc_xp != null && (bc_xp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_xp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_xp.getExpression(), bc_xp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_ym = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueYm);
        if (bc_ym != null && (bc_ym.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_ym, sm.getGeometryClass()), getIdentifierSubstitutions(bc_ym.getExpression(), bc_ym.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_yp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueYp);
        if (bc_yp != null && (bc_yp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_yp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_yp.getExpression(), bc_yp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_zm = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueZm);
        if (bc_zm != null && (bc_zm.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_zm, sm.getGeometryClass()), getIdentifierSubstitutions(bc_zm.getExpression(), bc_zm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter bc_zp = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_BoundaryValueZp);
        if (bc_zp != null && (bc_zp.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(bc_zp, sm.getGeometryClass()), getIdentifierSubstitutions(bc_zp.getExpression(), bc_zp.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
        }
    }
    // 
    for (int i = 0; i < speciesContextSpecs.length; i++) {
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velX = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityX);
        StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
        GeometryClass geometryClass = sm.getGeometryClass();
        if (advection_velX != null && (advection_velX.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velX, geometryClass), getIdentifierSubstitutions(advection_velX.getExpression(), advection_velX.getUnitDefinition(), geometryClass), geometryClass));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velY = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityY);
        if (advection_velY != null && (advection_velY.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velY, geometryClass), getIdentifierSubstitutions(advection_velY.getExpression(), advection_velY.getUnitDefinition(), geometryClass), geometryClass));
        }
        SpeciesContextSpec.SpeciesContextSpecParameter advection_velZ = speciesContextSpecs[i].getParameterFromRole(SpeciesContextSpec.ROLE_VelocityZ);
        if (advection_velZ != null && (advection_velZ.getExpression() != null)) {
            varHash.addVariable(newFunctionOrConstant(getMathSymbol(advection_velZ, geometryClass), getIdentifierSubstitutions(advection_velZ.getExpression(), advection_velZ.getUnitDefinition(), geometryClass), geometryClass));
        }
    }
    // 
    // constant species (either function or constant)
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() instanceof Constant) {
            varHash.addVariable(scm.getVariable());
        }
    }
    // 
    // conversion factors
    // 
    varHash.addVariable(new Constant(model.getKMOLE().getName(), getIdentifierSubstitutions(model.getKMOLE().getExpression(), model.getKMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(model.getN_PMOLE().getName(), getIdentifierSubstitutions(model.getN_PMOLE().getExpression(), model.getN_PMOLE().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(model.getKMILLIVOLTS().getName(), getIdentifierSubstitutions(model.getKMILLIVOLTS().getExpression(), model.getKMILLIVOLTS().getUnitDefinition(), null)));
    varHash.addVariable(new Constant(model.getK_GHK().getName(), getIdentifierSubstitutions(model.getK_GHK().getExpression(), model.getK_GHK().getUnitDefinition(), null)));
    // 
    for (int i = 0; i < structureMappings.length; i++) {
        StructureMapping sm = structureMappings[i];
        if (simContext.getGeometry().getDimension() == 0) {
            StructureMappingParameter sizeParm = sm.getSizeParameter();
            if (sizeParm != null && sizeParm.getExpression() != null) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeParm, sm.getGeometryClass()), getIdentifierSubstitutions(sizeParm.getExpression(), sizeParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            } else {
                if (sm instanceof MembraneMapping) {
                    MembraneMapping mm = (MembraneMapping) sm;
                    StructureMappingParameter volFrac = mm.getVolumeFractionParameter();
                    if (volFrac != null && volFrac.getExpression() != null) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(volFrac, sm.getGeometryClass()), getIdentifierSubstitutions(volFrac.getExpression(), volFrac.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
                    }
                    StructureMappingParameter surfToVol = mm.getSurfaceToVolumeParameter();
                    if (surfToVol != null && surfToVol.getExpression() != null) {
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(surfToVol, sm.getGeometryClass()), getIdentifierSubstitutions(surfToVol.getExpression(), surfToVol.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
                    }
                }
            }
        } else {
            Parameter parm = sm.getParameterFromRole(StructureMapping.ROLE_AreaPerUnitArea);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SurfaceClass) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_AreaPerUnitVolume);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SubVolume) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_VolumePerUnitArea);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SurfaceClass) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
            parm = sm.getParameterFromRole(StructureMapping.ROLE_VolumePerUnitVolume);
            if (parm != null && parm.getExpression() != null && sm.getGeometryClass() instanceof SubVolume) {
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(parm, sm.getGeometryClass()), getIdentifierSubstitutions(parm.getExpression(), parm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
            }
        }
        StructureMappingParameter sizeParm = sm.getSizeParameter();
        if (sm.getGeometryClass() != null && sizeParm != null) {
            if (simContext.getGeometry().getDimension() == 0) {
                if (sizeParm.getExpression() != null) {
                    varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeParm, sm.getGeometryClass()), getIdentifierSubstitutions(sizeParm.getExpression(), sizeParm.getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass()));
                }
            } else {
                String compartmentName = sm.getGeometryClass().getName();
                VCUnitDefinition sizeUnit = sm.getSizeParameter().getUnitDefinition();
                String sizeFunctionName = null;
                if (sm instanceof MembraneMapping) {
                    MembraneMapping mm = (MembraneMapping) sm;
                    if (mm.getGeometryClass() instanceof SurfaceClass) {
                        sizeFunctionName = MathFunctionDefinitions.Function_regionArea_current.getFunctionName();
                    } else if (mm.getGeometryClass() instanceof SubVolume) {
                        sizeFunctionName = MathFunctionDefinitions.Function_regionVolume_current.getFunctionName();
                    }
                } else if (sm instanceof FeatureMapping) {
                    sizeFunctionName = MathFunctionDefinitions.Function_regionVolume_current.getFunctionName();
                } else {
                    throw new RuntimeException("structure mapping " + sm.getClass().getName() + " not yet supported");
                }
                Expression totalVolumeCorrection = sm.getStructureSizeCorrection(simContext, this);
                Expression sizeFunctionExpression = Expression.function(sizeFunctionName, new Expression[] { new Expression("'" + compartmentName + "'") });
                // sizeFunctionExpression.bindExpression(mathDesc);
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeParm, sm.getGeometryClass()), getIdentifierSubstitutions(Expression.mult(totalVolumeCorrection, sizeFunctionExpression), sizeUnit, sm.getGeometryClass()), sm.getGeometryClass()));
            }
        }
    }
    // 
    // functions
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() == null && scm.getDependencyExpression() != null) {
            // check if speciesContext has a rateRule; then the speciesContext should not be added as a constant
            if (simContext.getRateRule(scm.getSpeciesContext()) == null) {
                StructureMapping sm = simContext.getGeometryContext().getStructureMapping(scm.getSpeciesContext().getStructure());
                if (sm.getGeometryClass() == null) {
                    Structure s = sm.getStructure();
                    if (s != null) {
                        throw new RuntimeException("unmapped structure " + s.getName());
                    }
                    throw new RuntimeException("structure mapping with no structure or mapping");
                }
                Variable dependentVariable = newFunctionOrConstant(getMathSymbol(scm.getSpeciesContext(), sm.getGeometryClass()), getIdentifierSubstitutions(scm.getDependencyExpression(), scm.getSpeciesContext().getUnitDefinition(), sm.getGeometryClass()), sm.getGeometryClass());
                dependentVariable.setDomain(new Domain(sm.getGeometryClass()));
                varHash.addVariable(dependentVariable);
            }
        }
    }
    BioEvent[] bioevents = simContext.getBioEvents();
    if (bioevents != null && bioevents.length > 0) {
        for (BioEvent be : bioevents) {
            // transform the bioEvent trigger/delay to math Event
            for (LocalParameter p : be.getEventParameters()) {
                if (p.getExpression() != null) {
                    // ex: eventName.delay and eventName.triggerFunction
                    String name = getMathSymbol(p, null);
                    Expression exp = getIdentifierSubstitutions(p.getExpression(), p.getUnitDefinition(), null);
                    Variable var = newFunctionOrConstant(name, exp, null);
                    varHash.addVariable(var);
                } else if (be.getParameter(BioEventParameterType.GeneralTriggerFunction) == p) {
                    // 
                    // use generated function here.
                    // 
                    String name = getMathSymbol(p, null);
                    Expression exp = getIdentifierSubstitutions(be.generateTriggerExpression(), p.getUnitDefinition(), null);
                    Variable var = newFunctionOrConstant(name, exp, null);
                    varHash.addVariable(var);
                }
            }
        }
    }
    // 
    // substitute init functions for event assignment variables
    // 
    // for (Map.Entry<VolVariable,EventAssignmentOrRateRuleInitParameter> entry : eventVolVarHash.entrySet()) {
    // EventAssignmentOrRateRuleInitParameter eap = entry.getValue();
    // 
    // String argName = eap.getName();
    // Expression modelParamExpr = eap.getExpression();
    // GeometryClass gc = getDefaultGeometryClass(modelParamExpr);
    // VCUnitDefinition paramUnit = eap.getUnitDefinition();
    // Expression mpInitExpr = new Expression(modelParamExpr);
    // String[] symbols = mpInitExpr.getSymbols();
    // if(symbols == null || symbols.length == 0) {
    // continue;
    // }
    // // TODO: this is still not working well
    // // check if 'initExpr' has other speciesContexts or rate rule global parameter variables in its expression
    // // need to replace it with 'spContext_init', modelParameter_init
    // for (String symbol : symbols) {
    // // if symbol is a speciesContext, replacing it with a reference to initial condition for that speciesContext.
    // SymbolTableEntry ste = mpInitExpr.getSymbolBinding(symbol);
    // if (ste == null) {
    // System.out.println("Unexpected NULL symbol in the initial expression of " + argName);
    // } else if (ste instanceof SpeciesContext) {
    // SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec((SpeciesContext)ste);
    // // TODO: what if initial count???
    // SpeciesContextSpecParameter spCInitParm = scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
    // // need to get init condn expression, but can't get it from getMathSymbol() (mapping between bio and math), hence get it as below.
    // Expression scsInitExpr = new Expression(spCInitParm, getNameScope());
    // mpInitExpr.substituteInPlace(new Expression(ste.getName()), scsInitExpr);
    // } else if(ste instanceof ModelParameter) {
    // ModelParameter mpArg = (ModelParameter)ste;
    // System.out.println(mpArg.getName());
    // if(simContext.getRateRule(mpArg) == null) {
    // continue;		// only globals that are RateRule variables need to be replaced with their _init variable
    // }
    // Variable mpArgVar = initModelParameterHashTmp.get(mpArg);
    // if(mpArgVar != null && eventVolVarHash.get(mpArgVar) != null) {
    // EventAssignmentOrRateRuleInitParameter mpInitParam = eventVolVarHash.get(mpArgVar);
    // Expression mpArgInitExpr = new Expression(mpInitParam, getNameScope());
    // mpInitExpr.substituteInPlace(new Expression(ste.getName()), mpArgInitExpr);
    // 
    // }
    // } else {
    // String msg = ste.getName() == null ? "??" : ste.getName();
    // System.out.println("Unexpected symbol type for " + msg + " in the initial expression of " + argName);
    // }
    // }
    // varHash.removeVariable(argName);
    // Expression exp = getIdentifierSubstitutions(mpInitExpr, paramUnit, gc);
    // Variable varInit = newFunctionOrConstant(argName, exp, gc);
    // varHash.addVariable(varInit);
    // }
    // 
    // deal with rate rules
    // 
    // first, substitute the init functions for rate rule variables that are model parameters
    // we'll need this init variable (function or constant) for the ODE Equation
    // 
    // here we store the init variable with the final substitutions within their expressions
    Map<ModelParameter, Variable> initModelParameterHash = new HashMap<>();
    Map<String, SymbolTableEntry> entryMap = new HashMap<String, SymbolTableEntry>();
    simContext.getEntries(entryMap);
    for (Map.Entry<ModelParameter, Variable> entry : initModelParameterHashTmp.entrySet()) {
        ModelParameter mp = entry.getKey();
        Variable mpInitVariable = entry.getValue();
        String argName = mpInitVariable.getName();
        Expression modelParamExpr = mp.getExpression();
        GeometryClass gc = getDefaultGeometryClass(modelParamExpr);
        Expression mpInitExpr = new Expression(modelParamExpr);
        String[] symbols = mpInitExpr.getSymbols();
        if (symbols == null || symbols.length == 0) {
            // stays as it is in variable hash
            // we just move it into the initModelParameterHash
            initModelParameterHash.put(mp, mpInitVariable);
            continue;
        }
        // need to replace it with 'spContext_init', modelParameter_init
        for (String symbol : symbols) {
            // if symbol is a speciesContext, replacing it with a reference to initial condition for that speciesContext.
            SymbolTableEntry ste = mpInitExpr.getSymbolBinding(symbol);
            if (ste == null) {
                System.out.println("Unexpected NULL symbol in the initial expression of " + argName);
            } else if (ste instanceof SpeciesContext) {
                SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec((SpeciesContext) ste);
                // TODO: what if initial count???
                SpeciesContextSpecParameter spCInitParm = scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
                // need to get init condn expression, but can't get it from getMathSymbol() (mapping between bio and math), hence get it as below.
                Expression scsInitExpr = new Expression(spCInitParm, getNameScope());
                mpInitExpr.substituteInPlace(new Expression(ste.getName()), scsInitExpr);
            } else if (ste instanceof ModelParameter) {
                ModelParameter mpArg = (ModelParameter) ste;
                System.out.println(mpArg.getName());
                if (simContext.getRateRule(mpArg) == null) {
                    // only globals that are RateRule variables need to be replaced with their _init variable
                    continue;
                }
                EventAssignmentOrRateRuleInitParameter mpInitParam = modelParamTorateRuleInitMapping.get(mpArg);
                if (mpInitParam != null) {
                    // we already made it, we only need to use it
                    Expression mpArgInitExpr = new Expression(mpInitParam, getNameScope());
                    mpInitExpr.substituteInPlace(new Expression(ste.getName()), mpArgInitExpr);
                }
            } else {
                String msg = ste.getName() == null ? "??" : ste.getName();
                System.out.println("Unexpected symbol type for " + msg + " in the initial expression of " + argName);
            }
        }
        VCUnitDefinition paramUnit = modelUnitSystem.getInstance_TBD();
        if (mp.getUnitDefinition() != null && !mp.getUnitDefinition().equals(modelUnitSystem.getInstance_TBD())) {
            paramUnit = mp.getUnitDefinition();
        }
        varHash.removeVariable(mpInitVariable);
        Expression exp = getIdentifierSubstitutions(mpInitExpr, paramUnit, gc);
        mpInitVariable = newFunctionOrConstant(argName, exp, gc);
        varHash.addVariable(mpInitVariable);
        initModelParameterHash.put(mp, mpInitVariable);
    }
    // 
    // create the VolVariable for the species context used as rate rule variable
    // create the Variable (function or constant) for its rate (need it for the ODE Equation)
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        // species context used as rate rule variable
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        Variable var = scm.getVariable();
        Expression exp = scm.getDependencyExpression();
        if (var == null && exp != null) {
            RateRule rr = simContext.getRateRule(scm.getSpeciesContext());
            if (rr != null && (rr.getRateRuleVar() instanceof SpeciesContext)) {
                SpeciesContext sc = scm.getSpeciesContext();
                StructureMapping sm = simContext.getGeometryContext().getStructureMapping(sc.getStructure());
                if (sm.getGeometryClass() == null) {
                    Structure s = sm.getStructure();
                    if (s != null) {
                        throw new RuntimeException("unmapped structure " + s.getName());
                    }
                    throw new RuntimeException("structure mapping with no structure or mapping");
                }
                String name = getMathSymbol(scm.getSpeciesContext(), sm.getGeometryClass());
                Expression orig = rr.getRateRuleExpression();
                Expression ex = getIdentifierSubstitutions(orig, scm.getSpeciesContext().getUnitDefinition(), sm.getGeometryClass());
                GeometryClass gc = sm.getGeometryClass();
                Domain domain = null;
                if (gc != null) {
                    domain = new Domain(gc);
                }
                if (gc instanceof SurfaceClass) {
                    scm.setVariable(new MemVariable(scm.getSpeciesContext().getName(), domain));
                } else {
                    scm.setVariable(new VolVariable(scm.getSpeciesContext().getName(), domain));
                }
                Variable oldVariablre = varHash.getVariable(name);
                if (oldVariablre != null) {
                    // should always be null
                    varHash.removeVariable(name);
                }
                varHash.addVariable(scm.getVariable());
                // // create the rate parameter
                SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec(sc);
                SpeciesContextSpecParameter scsInitParam = scs.getInitialConditionParameter();
                VCUnitDefinition scsInitParamUnit = scsInitParam.getUnitDefinition();
                RateRuleRateParameter rateParam = null;
                try {
                    Expression origExp = simContext.getRateRule(sc).getRateRuleExpression();
                    VCUnitDefinition rateUnit = modelUnitSystem.getInstance_TBD();
                    if (scsInitParamUnit != null && !scsInitParamUnit.equals(modelUnitSystem.getInstance_TBD())) {
                        rateUnit = scsInitParamUnit;
                    }
                    Expression rateExpr = getIdentifierSubstitutions(origExp, rateUnit, gc);
                    String argName = sc.getName() + MATH_FUNC_SUFFIX_RATERULE_RATE;
                    Variable param = newFunctionOrConstant(argName, rateExpr, gc);
                    varHash.addVariable(param);
                    rateParam = addRateRuleRateParameter(sc, rateExpr, PARAMETER_ROLE_RATERULE_RATE, rateUnit);
                } catch (PropertyVetoException e) {
                    e.printStackTrace(System.out);
                    throw new MappingException(e.getMessage());
                }
                // we generate the ODE equation elsewhere (later)
                rateRuleRateParamHash.put(scm.getVariable(), rateParam);
            }
        } else if (var != null && exp == null) {
            // could be an event variable AND a rate rule variable - in which case we need a rate parameter for the event ODE equation
            SpeciesContext sc = scm.getSpeciesContext();
            boolean isRateRuleVar = rateRuleVarTargets.contains(sc);
            boolean isEventAssignVar = eventAssignTargets.contains(sc);
            if (isRateRuleVar && isEventAssignVar) {
                // is both, so we make a rate parameter, like above
                SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec(sc);
                SpeciesContextSpecParameter scsInitParam = scs.getInitialConditionParameter();
                VCUnitDefinition scsInitParamUnit = scsInitParam.getUnitDefinition();
                StructureMapping sm = simContext.getGeometryContext().getStructureMapping(sc.getStructure());
                GeometryClass gc = sm.getGeometryClass();
                RateRuleRateParameter rateParam = null;
                try {
                    Expression origExp = simContext.getRateRule(sc).getRateRuleExpression();
                    VCUnitDefinition rateUnit = modelUnitSystem.getInstance_TBD();
                    if (scsInitParamUnit != null && !scsInitParamUnit.equals(modelUnitSystem.getInstance_TBD())) {
                        rateUnit = scsInitParamUnit;
                    }
                    Expression rateExpr = getIdentifierSubstitutions(origExp, rateUnit, gc);
                    String argName = sc.getName() + MATH_FUNC_SUFFIX_RATERULE_RATE;
                    Variable param = newFunctionOrConstant(argName, rateExpr, gc);
                    varHash.addVariable(param);
                    rateParam = addRateRuleRateParameter(sc, rateExpr, PARAMETER_ROLE_RATERULE_RATE, rateUnit);
                } catch (PropertyVetoException e) {
                    e.printStackTrace(System.out);
                    throw new MappingException(e.getMessage());
                }
                // we generate the ODE equation elsewhere (later)
                rateRuleRateParamHash.put(var, rateParam);
            }
        }
    }
    // 
    for (ModelParameter mp : modelParameters) {
        // global parameter used as rate rule variable
        Variable var = varHash.getVariable(mp.getName());
        RateRule rr = simContext.getRateRule(mp);
        Expression modelParamExpr = mp.getExpression();
        if (var == null && rr != null) {
            // at this point var should be a constant
            // we're under the assumption that it's non-spatial
            GeometryClass[] geometryClasses = simContext.getGeometryContext().getGeometry().getGeometryClasses();
            GeometryClass gc = geometryClasses[0];
            // SubDomain subDomain = mathDesc.getSubDomains().nextElement();
            // GeometryClass gc = getDefaultGeometryClass(modelParamExpr);
            Domain domain = null;
            if (gc != null) {
                domain = new Domain(gc);
            }
            Variable variable;
            if (gc instanceof SurfaceClass) {
                variable = new MemVariable(mp.getName(), domain);
            } else {
                variable = new VolVariable(mp.getName(), domain);
            }
            varHash.addVariable(variable);
            RateRuleRateParameter rateParam = null;
            try {
                Expression origExp = rr.getRateRuleExpression();
                VCUnitDefinition rateUnit = modelUnitSystem.getInstance_TBD();
                if (mp.getUnitDefinition() != null && !mp.getUnitDefinition().equals(modelUnitSystem.getInstance_TBD())) {
                    rateUnit = mp.getUnitDefinition().divideBy(timeUnit);
                }
                Expression rateExpr = getIdentifierSubstitutions(origExp, rateUnit, gc);
                String argName = mp.getName() + MATH_FUNC_SUFFIX_RATERULE_RATE;
                Variable param = newFunctionOrConstant(argName, rateExpr, gc);
                varHash.addVariable(param);
                rateParam = addRateRuleRateParameter(mp, rateExpr, PARAMETER_ROLE_RATERULE_RATE, rateUnit);
            } catch (PropertyVetoException e) {
                e.printStackTrace(System.out);
                throw new MappingException(e.getMessage());
            }
            // no need to put it in the hash, we make the ODE Equation right here
            // rateRuleRateParamHash.put(variable, rateParam);
            // we know it's non-spatial
            SubDomain subDomain = mathDesc.getSubDomains().nextElement();
            Equation equation = null;
            // TODO: replace the expression with the variable  ex: "g0_protocol_init" computed above
            Expression initial = new Expression(mp.getExpression());
            // TODO: can it be null? should check and maybe try mp.getConstantValue() too ???
            Variable mpInitVariable = initModelParameterHash.get(mp);
            if (mpInitVariable != null) {
                initial = new Expression(mpInitVariable.getName());
            }
            Expression rateExpr = new Expression(0.0);
            // RateRuleRateParameter rateParam = rateRuleRateParamHash.get(variable);
            if (rateParam != null) {
                // ex: g0_rate
                rateExpr = new Expression(getMathSymbol(rateParam, gc));
            }
            // ODE Equation for rate rule variable being a global parameter
            equation = new OdeEquation(variable, initial, rateExpr);
            subDomain.addEquation(equation);
        }
    }
    // 
    // deal with assignment rules
    // 
    enum1 = getSpeciesContextMappings();
    while (enum1.hasMoreElements()) {
        // species context used as assignment rule variable
        SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
        if (scm.getVariable() == null && scm.getDependencyExpression() != null) {
            AssignmentRule ar = simContext.getAssignmentRule(scm.getSpeciesContext());
            if (ar != null && (ar.getAssignmentRuleVar() instanceof SpeciesContext)) {
                // TODO: we limit assignment rules to SpeciesContext for now
                StructureMapping sm = simContext.getGeometryContext().getStructureMapping(scm.getSpeciesContext().getStructure());
                if (sm.getGeometryClass() == null) {
                    Structure s = sm.getStructure();
                    if (s != null) {
                        throw new RuntimeException("unmapped structure " + s.getName());
                    }
                    throw new RuntimeException("structure mapping with no structure or mapping");
                }
                String name = getMathSymbol(scm.getSpeciesContext(), sm.getGeometryClass());
                Expression orig = ar.getAssignmentRuleExpression();
                Expression ex = getIdentifierSubstitutions(orig, scm.getSpeciesContext().getUnitDefinition(), sm.getGeometryClass());
                GeometryClass gc = sm.getGeometryClass();
                Variable dependentVariable = newFunctionOrConstant(name, ex, gc);
                dependentVariable.setDomain(new Domain(sm.getGeometryClass()));
                varHash.removeVariable(name);
                varHash.addVariable(dependentVariable);
            }
        }
    }
    for (ModelParameter mp : modelParameters) {
        // global parameter used as assignment rule variable
        Variable var = varHash.getVariable(mp.getName());
        AssignmentRule ar = simContext.getAssignmentRule(mp);
        Expression modelParamExpr = mp.getExpression();
        if (var == null && ar != null) {
            // at this point var (global parameter used as assignment rule variable) should be null
            // we're under the assumption that it's non-spatial
            GeometryClass[] geometryClasses = simContext.getGeometryContext().getGeometry().getGeometryClasses();
            GeometryClass gc = geometryClasses[0];
            SubDomain subDomain = mathDesc.getSubDomains().nextElement();
            Expression origExp = ar.getAssignmentRuleExpression();
            VCUnitDefinition rateUnit = modelUnitSystem.getInstance_TBD();
            if (mp.getUnitDefinition() != null && !mp.getUnitDefinition().equals(modelUnitSystem.getInstance_TBD())) {
                rateUnit = mp.getUnitDefinition();
            }
            Expression rateExpr = getIdentifierSubstitutions(origExp, rateUnit, gc);
            String argName = mp.getName();
            Variable param = newFunctionOrConstant(argName, rateExpr, gc);
            varHash.addVariable(param);
        }
    }
    // 
    // set Variables to MathDescription all at once with the order resolved by "VariableHash"
    // 
    mathDesc.setAllVariables(varHash.getAlphabeticallyOrderedVariables());
    // 
    if (simContext.getGeometryContext().getGeometry() != null) {
        try {
            mathDesc.setGeometry(simContext.getGeometryContext().getGeometry());
        } catch (java.beans.PropertyVetoException e) {
            e.printStackTrace(System.out);
            throw new MappingException("failure setting geometry " + e.getMessage());
        }
    } else {
        throw new MappingException("geometry must be defined");
    }
    // 
    for (CompartmentSubdomainContext compartmentSubDomainContext : compartmentSubdomainContexts) {
        SubVolume subVolume = compartmentSubDomainContext.subvolume;
        CompartmentSubDomain subDomain = mathDesc.getCompartmentSubDomain(subVolume.getName());
        // 
        // assign boundary condition types
        // 
        StructureMapping[] mappedSMs = simContext.getGeometryContext().getStructureMappings(subVolume);
        FeatureMapping mappedFM = null;
        for (int i = 0; i < mappedSMs.length; i++) {
            if (mappedSMs[i] instanceof FeatureMapping) {
                if (mappedFM != null) {
                    lg.warn("WARNING:::: MathMapping.refreshMathDescription() ... assigning boundary condition types not unique");
                }
                mappedFM = (FeatureMapping) mappedSMs[i];
            }
        }
        if (mappedFM != null) {
            if (simContext.getGeometry().getDimension() > 0) {
                subDomain.setBoundaryConditionXm(mappedFM.getBoundaryConditionTypeXm());
                subDomain.setBoundaryConditionXp(mappedFM.getBoundaryConditionTypeXp());
            }
            if (simContext.getGeometry().getDimension() > 1) {
                subDomain.setBoundaryConditionYm(mappedFM.getBoundaryConditionTypeYm());
                subDomain.setBoundaryConditionYp(mappedFM.getBoundaryConditionTypeYp());
            }
            if (simContext.getGeometry().getDimension() > 2) {
                subDomain.setBoundaryConditionZm(mappedFM.getBoundaryConditionTypeZm());
                subDomain.setBoundaryConditionZp(mappedFM.getBoundaryConditionTypeZp());
            }
        }
        // 
        // create equations
        // 
        VolumeStructureAnalyzer structureAnalyzer = getVolumeStructureAnalyzer(subVolume);
        Enumeration<SpeciesContextMapping> enumSCM = getSpeciesContextMappings();
        while (enumSCM.hasMoreElements()) {
            SpeciesContextMapping scm = enumSCM.nextElement();
            SpeciesContext sc = scm.getSpeciesContext();
            StructureMapping sm = simContext.getGeometryContext().getStructureMapping(sc.getStructure());
            SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec(sc);
            // 
            // if an independent volume variable, then create equation for it (if mapped to this subDomain)
            // 
            final GeometryClass gc = sm.getGeometryClass();
            if (gc == null || !gc.getName().equals(subDomain.getName())) {
                continue;
            }
            SpeciesContextSpecParameter initConcParameter = scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration);
            if ((scm.getVariable() instanceof VolumeRegionVariable) && scm.getDependencyExpression() == null) {
                VolumeRegionVariable volumeRegionVariable = (VolumeRegionVariable) scm.getVariable();
                Expression initial = getIdentifierSubstitutions(new Expression(initConcParameter, getNameScope()), initConcParameter.getUnitDefinition(), sm.getGeometryClass());
                Expression rate = getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                VolumeRegionEquation volumeRegionEquation = new VolumeRegionEquation(volumeRegionVariable, initial);
                volumeRegionEquation.setVolumeRateExpression(rate);
                subDomain.addEquation(volumeRegionEquation);
            } else if (scm.getVariable() instanceof VolVariable && scm.getDependencyExpression() == null) {
                VolVariable variable = (VolVariable) scm.getVariable();
                Equation equation = null;
                if (sm.getGeometryClass() == subVolume) {
                    if (scm.isPDERequired()) {
                        // 
                        // species context belongs to this subDomain
                        // 
                        Expression initial = getIdentifierSubstitutions(new Expression(initConcParameter, getNameScope()), initConcParameter.getUnitDefinition(), sm.getGeometryClass());
                        Expression rate = getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                        SpeciesContextSpecParameter diffusionParameter = scs.getDiffusionParameter();
                        Expression diffusion = getIdentifierSubstitutions(new Expression(diffusionParameter, getNameScope()), diffusionParameter.getUnitDefinition(), sm.getGeometryClass());
                        equation = new PdeEquation(variable, initial, rate, diffusion);
                        ((PdeEquation) equation).setBoundaryXm((scs.getBoundaryXmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryXmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryXp((scs.getBoundaryXpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryXpParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryYm((scs.getBoundaryYmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryYmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryYp((scs.getBoundaryYpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryYpParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryZm((scs.getBoundaryZmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryZmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryZp((scs.getBoundaryZpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryZpParameter(), sm.getGeometryClass())));
                        if (simContext.getGeometry().getDimension() >= 1) {
                            Expression velXExp = null;
                            if (scs.getVelocityXParameter().getExpression() != null) {
                                velXExp = new Expression(getMathSymbol(scs.getVelocityXParameter(), sm.getGeometryClass()));
                            } else {
                                SpatialQuantity[] velX_quantities = scs.getVelocityQuantities(QuantityComponent.X);
                                if (velX_quantities.length > 0) {
                                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(subVolume).length;
                                    if (velX_quantities.length == 1 && numRegions == 1) {
                                        velXExp = new Expression(getMathSymbol(velX_quantities[0], sm.getGeometryClass()));
                                    } else {
                                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                                    }
                                }
                            }
                            ((PdeEquation) equation).setVelocityX(velXExp);
                        }
                        if (simContext.getGeometry().getDimension() >= 2) {
                            Expression velYExp = null;
                            if (scs.getVelocityYParameter().getExpression() != null) {
                                velYExp = new Expression(getMathSymbol(scs.getVelocityYParameter(), sm.getGeometryClass()));
                            } else {
                                SpatialQuantity[] velY_quantities = scs.getVelocityQuantities(QuantityComponent.Y);
                                if (velY_quantities.length > 0) {
                                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(subVolume).length;
                                    if (velY_quantities.length == 1 && numRegions == 1) {
                                        velYExp = new Expression(getMathSymbol(velY_quantities[0], sm.getGeometryClass()));
                                    } else {
                                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                                    }
                                }
                            }
                            ((PdeEquation) equation).setVelocityY(velYExp);
                        }
                        if (simContext.getGeometry().getDimension() == 3) {
                            Expression velZExp = null;
                            if (scs.getVelocityZParameter().getExpression() != null) {
                                velZExp = new Expression(getMathSymbol(scs.getVelocityZParameter(), sm.getGeometryClass()));
                            } else {
                                SpatialQuantity[] velZ_quantities = scs.getVelocityQuantities(QuantityComponent.Z);
                                if (velZ_quantities.length > 0) {
                                    int numRegions = simContext.getGeometry().getGeometrySurfaceDescription().getGeometricRegions(subVolume).length;
                                    if (velZ_quantities.length == 1 && numRegions == 1) {
                                        velZExp = new Expression(getMathSymbol(velZ_quantities[0], sm.getGeometryClass()));
                                    } else {
                                        throw new MappingException("multiple advection velocities enabled set for multiple volume domains ");
                                    }
                                }
                            }
                            ((PdeEquation) equation).setVelocityZ(velZExp);
                        }
                        subDomain.replaceEquation(equation);
                    } else {
                        // 
                        // ODE - species context belongs to this subDomain
                        // 
                        Expression initial = new Expression(getMathSymbol(initConcParameter, null));
                        Expression rate = (scm.getRate() == null) ? new Expression(0.0) : getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                        // 
                        // if it's an event assignment variable AND a rate rule variable
                        // we replace the event rate computed above (which should be zero) with the RateRuleParameter expression
                        // 
                        RateRuleRateParameter rateParam = rateRuleRateParamHash.get(variable);
                        if (rateParam != null) {
                            rate = new Expression(getMathSymbol(rateParam, null));
                        }
                        equation = new OdeEquation(variable, initial, rate);
                        subDomain.replaceEquation(equation);
                    }
                }
            } else if (scm.getVariable() instanceof VolVariable && scm.getDependencyExpression() != null) {
                // rate rule variables are like this
                RateRule rr = simContext.getRateRule(scm.getSpeciesContext());
                if (rr != null && (rr.getRateRuleVar() instanceof SpeciesContext)) {
                    // 
                    // we generate rate rule ODE equation only for species variable that are NOT event assignment variable (see right above)
                    // for global parameters variable we do it elsewhere
                    // 
                    VolVariable variable = (VolVariable) scm.getVariable();
                    Equation equation = null;
                    if (sm.getGeometryClass() == subVolume) {
                        Expression initial = new Expression(getMathSymbol(initConcParameter, null));
                        Expression rateExpr = new Expression(0.0);
                        RateRuleRateParameter rateParam = rateRuleRateParamHash.get(variable);
                        if (rateParam != null) {
                            rateExpr = new Expression(getMathSymbol(rateParam, null));
                        }
                        equation = new OdeEquation(variable, initial, rateExpr);
                        subDomain.addEquation(equation);
                    }
                }
            }
        }
        // 
        // create fast system (if neccessary)
        // 
        SpeciesContextMapping[] fastSpeciesContextMappings = structureAnalyzer.getFastSpeciesContextMappings();
        if (fastSpeciesContextMappings != null) {
            FastSystem fastSystem = new FastSystem(mathDesc);
            for (int i = 0; i < fastSpeciesContextMappings.length; i++) {
                SpeciesContextMapping scm = fastSpeciesContextMappings[i];
                if (scm.getFastInvariant() == null) {
                    // 
                    // independant-fast variable, create a fastRate object
                    // 
                    Expression rate = getIdentifierSubstitutions(scm.getFastRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), subVolume);
                    FastRate fastRate = new FastRate(rate);
                    fastSystem.addFastRate(fastRate);
                } else {
                    // 
                    // dependant-fast variable, create a fastInvariant object
                    // 
                    Expression rate = getIdentifierSubstitutions(scm.getFastInvariant(), modelUnitSystem.getVolumeConcentrationUnit(), subVolume);
                    FastInvariant fastInvariant = new FastInvariant(rate);
                    fastSystem.addFastInvariant(fastInvariant);
                }
            }
            subDomain.setFastSystem(fastSystem);
            // constructor calls the 'refresh' method which constructs depemdency matrix, dependent/independent vars and pseudoconstants, etc.
            // FastSystemAnalyzer fs_analyzer =
            new FastSystemAnalyzer(fastSystem, mathDesc);
        }
        // 
        // create ode's for voltages to be calculated on unresolved membranes mapped to this subVolume
        // 
        Structure[] localStructures = simContext.getGeometryContext().getStructuresFromGeometryClass(subVolume);
        for (int sIndex = 0; sIndex < localStructures.length; sIndex++) {
            if (localStructures[sIndex] instanceof Membrane) {
                Membrane membrane = (Membrane) localStructures[sIndex];
                MembraneMapping membraneMapping = (MembraneMapping) simContext.getGeometryContext().getStructureMapping(membrane);
                if ((membraneMapping.getGeometryClass() instanceof SubVolume) && membraneMapping.getCalculateVoltage()) {
                    MembraneElectricalDevice capacitiveDevice = potentialMapping.getCapacitiveDevice(membrane);
                    if (capacitiveDevice.getDependentVoltageExpression() == null) {
                        VolVariable vVar = (VolVariable) mathDesc.getVariable(getMathSymbol(capacitiveDevice.getVoltageSymbol(), membraneMapping.getGeometryClass()));
                        Expression initExp = new Expression(getMathSymbol(capacitiveDevice.getMembraneMapping().getInitialVoltageParameter(), membraneMapping.getGeometryClass()));
                        subDomain.addEquation(new OdeEquation(vVar, initExp, getIdentifierSubstitutions(potentialMapping.getOdeRHS(capacitiveDevice, this), membrane.getMembraneVoltage().getUnitDefinition().divideBy(timeUnit), membraneMapping.getGeometryClass())));
                    } else {
                    // 
                    // 
                    // 
                    }
                }
            }
        }
    }
    // 
    for (MembraneSubdomainContext memSubdomainContext : membraneSubdomainContexts) {
        MembraneSubDomain memSubDomain = memSubdomainContext.membraneSubdomain;
        SurfaceClass surfaceClass = memSubdomainContext.surfaceClass;
        for (SurfaceRegionObject surfaceRegionObject : memSubdomainContext.surfaceRegionObjects) {
            if (surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.SurfaceVelocity)) {
                int dim = simContext.getGeometry().getDimension();
                if (dim != 2) {
                    throw new MappingException("Membrane Velocity only supported for 2D geometries");
                }
                if (simContext.getGeometry().getDimension() >= 1) {
                    SpatialQuantity velXQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.X);
                    Expression velXExp = new Expression(velXQuantity, simContext.getNameScope());
                    memSubDomain.setVelocityX(getIdentifierSubstitutions(velXExp, velXQuantity.getUnitDefinition(), surfaceClass));
                }
                if (simContext.getGeometry().getDimension() >= 2) {
                    SpatialQuantity velYQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.Y);
                    Expression velYExp = new Expression(velYQuantity, simContext.getNameScope());
                    memSubDomain.setVelocityY(getIdentifierSubstitutions(velYExp, velYQuantity.getUnitDefinition(), surfaceClass));
                }
                if (simContext.getGeometry().getDimension() == 3) {
                    SpatialQuantity velZQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.Z);
                    Expression velZExp = new Expression(velZQuantity, simContext.getNameScope());
                    // memSubDomain.setVelocityZ(getIdentifierSubstitutions(velZExp, velZQuantity.getUnitDefinition(), surfaceClass));
                    throw new MappingException("Membrane Velocity not supported for 2D problems");
                }
            }
        }
        // 
        // create equations for membrane-bound molecular species
        // 
        MembraneStructureAnalyzer membraneStructureAnalyzer = getMembraneStructureAnalyzer(surfaceClass);
        Enumeration<SpeciesContextMapping> enumSCM = getSpeciesContextMappings();
        while (enumSCM.hasMoreElements()) {
            SpeciesContextMapping scm = enumSCM.nextElement();
            SpeciesContext sc = scm.getSpeciesContext();
            SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec(sc);
            StructureMapping sm = simContext.getGeometryContext().getStructureMapping(sc.getStructure());
            // 
            if ((scm.getVariable() instanceof MembraneRegionVariable) && scm.getDependencyExpression() == null) {
                MembraneRegionEquation equation = null;
                MembraneRegionVariable memRegionVar = (MembraneRegionVariable) scm.getVariable();
                if (sm.getGeometryClass() == surfaceClass) {
                    // 
                    // species context belongs to this subDomain
                    // 
                    Expression initial = new Expression(getMathSymbol(scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration), sm.getGeometryClass()));
                    Expression rate = getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                    equation = new MembraneRegionEquation(memRegionVar, initial);
                    equation.setMembraneRateExpression(rate);
                    // equation.setUniformRateExpression(newUniformRateExpression);
                    memSubDomain.replaceEquation(equation);
                }
            } else if ((scm.getVariable() instanceof MemVariable) && scm.getDependencyExpression() == null) {
                // 
                if (sm.getGeometryClass() == surfaceClass) {
                    Equation equation = null;
                    MemVariable variable = (MemVariable) scm.getVariable();
                    if (scm.isPDERequired()) {
                        // 
                        // PDE
                        // 
                        // 
                        // species context belongs to this subDomain
                        // 
                        Expression initial = new Expression(getMathSymbol(scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration), sm.getGeometryClass()));
                        Expression rate = getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                        Expression diffusion = new Expression(getMathSymbol(scs.getDiffusionParameter(), sm.getGeometryClass()));
                        equation = new PdeEquation(variable, initial, rate, diffusion);
                        ((PdeEquation) equation).setBoundaryXm((scs.getBoundaryXmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryXmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryXp((scs.getBoundaryXpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryXpParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryYm((scs.getBoundaryYmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryYmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryYp((scs.getBoundaryYpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryYpParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryZm((scs.getBoundaryZmParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryZmParameter(), sm.getGeometryClass())));
                        ((PdeEquation) equation).setBoundaryZp((scs.getBoundaryZpParameter().getExpression() == null) ? (null) : new Expression(getMathSymbol(scs.getBoundaryZpParameter(), sm.getGeometryClass())));
                        memSubDomain.replaceEquation(equation);
                    } else {
                        // 
                        // ODE
                        // 
                        // 
                        // species context belongs to this subDomain
                        // 
                        Expression initial = new Expression(getMathSymbol(scs.getParameterFromRole(SpeciesContextSpec.ROLE_InitialConcentration), null));
                        Expression rate = getIdentifierSubstitutions(scm.getRate(), scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit), simContext.getGeometryContext().getStructureMapping(sc.getStructure()).getGeometryClass());
                        equation = new OdeEquation(variable, initial, rate);
                        memSubDomain.replaceEquation(equation);
                    }
                }
            }
        }
        Enumeration<SpeciesContextMapping> enum_scm = getSpeciesContextMappings();
        while (enum_scm.hasMoreElements()) {
            SpeciesContextMapping scm = enum_scm.nextElement();
            if (scm.isPDERequired() || scm.getVariable() instanceof VolumeRegionVariable) {
                // Species species = scm.getSpeciesContext().getSpecies();
                Variable var = scm.getVariable();
                final Domain dm = var.getDomain();
                if (dm != null) {
                    final String domainName = dm.getName();
                    if (sameName(domainName, memSubDomain.getInsideCompartment()) || sameName(domainName, memSubDomain.getOutsideCompartment())) {
                        JumpCondition jc = memSubDomain.getJumpCondition(var);
                        if (jc == null) {
                            // System.out.println("MathMapping.refreshMathDescription(), adding jump condition for diffusing variable "+var.getName()+" on membrane "+membraneStructureAnalyzer.getMembrane().getName());
                            if (var instanceof VolVariable) {
                                jc = new JumpCondition((VolVariable) var);
                            } else if (var instanceof VolumeRegionVariable) {
                                jc = new JumpCondition((VolumeRegionVariable) var);
                            } else {
                                throw new RuntimeException("unexpected Variable type " + var.getClass().getName());
                            }
                            memSubDomain.addJumpCondition(jc);
                        }
                    }
                }
            }
        }
        // 
        // set jump conditions for any volume variables or volume region variables that have explicitly defined fluxes
        // 
        ResolvedFlux[] resolvedFluxes = membraneStructureAnalyzer.getResolvedFluxes();
        if (resolvedFluxes != null) {
            for (int i = 0; i < resolvedFluxes.length; i++) {
                SpeciesContext sc = resolvedFluxes[i].getSpeciesContext();
                SpeciesContextMapping scm = getSpeciesContextMapping(sc);
                StructureMapping sm = getSimulationContext().getGeometryContext().getStructureMapping(sc.getStructure());
                if (scm.getVariable() instanceof VolVariable && scm.isPDERequired()) {
                    VolVariable volVar = (VolVariable) scm.getVariable();
                    JumpCondition jc = memSubDomain.getJumpCondition(volVar);
                    if (jc == null) {
                        jc = new JumpCondition(volVar);
                        memSubDomain.addJumpCondition(jc);
                    }
                    Expression flux = getIdentifierSubstitutions(resolvedFluxes[i].getFluxExpression(), resolvedFluxes[i].getUnitDefinition(), membraneStructureAnalyzer.getSurfaceClass());
                    if (memSubDomain.getInsideCompartment().getName().equals(sm.getGeometryClass().getName())) {
                        jc.setInFlux(flux);
                    } else if (memSubDomain.getOutsideCompartment().getName().equals(sm.getGeometryClass().getName())) {
                        jc.setOutFlux(flux);
                    } else {
                        throw new RuntimeException("Application  " + simContext.getName() + " : " + scm.getSpeciesContext().getName() + " has spatially resolved flux at membrane " + scm.getSpeciesContext().getStructure().getName() + " with a non-local flux species " + scm.getSpeciesContext().getName());
                    }
                } else if (scm.getVariable() instanceof VolumeRegionVariable) {
                    VolumeRegionVariable volRegionVar = (VolumeRegionVariable) scm.getVariable();
                    JumpCondition jc = memSubDomain.getJumpCondition(volRegionVar);
                    if (jc == null) {
                        jc = new JumpCondition(volRegionVar);
                        memSubDomain.addJumpCondition(jc);
                    }
                    Expression flux = getIdentifierSubstitutions(resolvedFluxes[i].getFluxExpression(), resolvedFluxes[i].getUnitDefinition(), membraneStructureAnalyzer.getSurfaceClass());
                    if (memSubDomain.getInsideCompartment().getName().equals(sm.getGeometryClass().getName())) {
                        jc.setInFlux(flux);
                    } else if (memSubDomain.getOutsideCompartment().getName().equals(sm.getGeometryClass().getName())) {
                        jc.setOutFlux(flux);
                    } else {
                        throw new RuntimeException("Application  " + simContext.getName() + " : " + scm.getSpeciesContext().getName() + " has spatially resolved flux at membrane " + scm.getSpeciesContext().getStructure().getName() + " with a non-local flux species " + scm.getSpeciesContext().getName());
                    }
                } else {
                    throw new MappingException("Application  " + simContext.getName() + " : " + scm.getSpeciesContext().getName() + " has spatially resolved flux at membrane " + scm.getSpeciesContext().getStructure().getName() + ", but doesn't diffuse in compartment " + scm.getSpeciesContext().getStructure().getName());
                }
            }
        }
        // 
        // create fast system (if neccessary)
        // 
        SpeciesContextMapping[] fastSpeciesContextMappings = membraneStructureAnalyzer.getFastSpeciesContextMappings();
        if (fastSpeciesContextMappings != null) {
            FastSystem fastSystem = new FastSystem(mathDesc);
            for (int i = 0; i < fastSpeciesContextMappings.length; i++) {
                SpeciesContextMapping scm = fastSpeciesContextMappings[i];
                if (scm.getFastInvariant() == null) {
                    // 
                    // independant-fast variable, create a fastRate object
                    // 
                    VCUnitDefinition rateUnit = scm.getSpeciesContext().getUnitDefinition().divideBy(timeUnit);
                    FastRate fastRate = new FastRate(getIdentifierSubstitutions(scm.getFastRate(), rateUnit, surfaceClass));
                    fastSystem.addFastRate(fastRate);
                } else {
                    // 
                    // dependant-fast variable, create a fastInvariant object
                    // 
                    VCUnitDefinition invariantUnit = scm.getSpeciesContext().getUnitDefinition();
                    FastInvariant fastInvariant = new FastInvariant(getIdentifierSubstitutions(scm.getFastInvariant(), invariantUnit, surfaceClass));
                    fastSystem.addFastInvariant(fastInvariant);
                }
            }
            memSubDomain.setFastSystem(fastSystem);
            // constructor calls the 'refresh' method which constructs depemdency matrix, dependent/independent vars and pseudoconstants, etc.
            // FastSystemAnalyzer fs_analyzer =
            new FastSystemAnalyzer(fastSystem, mathDesc);
        }
        // 
        // create Membrane-region equations for potential of this resolved membrane
        // 
        Structure[] resolvedSurfaceStructures = membraneStructureAnalyzer.getStructures();
        for (int m = 0; m < resolvedSurfaceStructures.length; m++) {
            if (resolvedSurfaceStructures[m] instanceof Membrane) {
                Membrane membrane = (Membrane) resolvedSurfaceStructures[m];
                MembraneMapping membraneMapping = (MembraneMapping) simContext.getGeometryContext().getStructureMapping(membrane);
                if (membraneMapping.getCalculateVoltage()) {
                    ElectricalDevice[] membraneDevices = potentialMapping.getElectricalDevices(membrane);
                    int numCapacitiveDevices = 0;
                    MembraneElectricalDevice capacitiveDevice = null;
                    for (int i = 0; i < membraneDevices.length; i++) {
                        if (membraneDevices[i] instanceof MembraneElectricalDevice) {
                            numCapacitiveDevices++;
                            capacitiveDevice = (MembraneElectricalDevice) membraneDevices[i];
                        }
                    }
                    if (numCapacitiveDevices != 1) {
                        throw new MappingException("expecting 1 capacitive electrical device on graph edge for membrane " + membrane.getName() + ", found '" + numCapacitiveDevices + "'");
                    }
                    if (mathDesc.getVariable(getMathSymbol(capacitiveDevice.getVoltageSymbol(), membraneMapping.getGeometryClass())) instanceof MembraneRegionVariable) {
                        MembraneRegionVariable vVar = (MembraneRegionVariable) mathDesc.getVariable(getMathSymbol(capacitiveDevice.getVoltageSymbol(), membraneMapping.getGeometryClass()));
                        Parameter initialVoltageParm = capacitiveDevice.getMembraneMapping().getInitialVoltageParameter();
                        Expression initExp = getIdentifierSubstitutions(initialVoltageParm.getExpression(), initialVoltageParm.getUnitDefinition(), capacitiveDevice.getMembraneMapping().getGeometryClass());
                        MembraneRegionEquation vEquation = new MembraneRegionEquation(vVar, initExp);
                        vEquation.setMembraneRateExpression(getIdentifierSubstitutions(potentialMapping.getOdeRHS(capacitiveDevice, this), membrane.getMembraneVoltage().getUnitDefinition().divideBy(timeUnit), capacitiveDevice.getMembraneMapping().getGeometryClass()));
                        memSubDomain.addEquation(vEquation);
                    }
                }
            }
        }
    }
    // create equations for event assignment or rate rule targets that are model params/species, etc.
    Set<VolVariable> hashKeySet = eventVolVarHash.keySet();
    Iterator<VolVariable> volVarsIter = hashKeySet.iterator();
    // working under the assumption that we are dealing with non-spatial math, hence only one compartment domain!
    SubDomain subDomain = mathDesc.getSubDomains().nextElement();
    while (volVarsIter.hasNext()) {
        VolVariable volVar = volVarsIter.next();
        EventAssignmentOrRateRuleInitParameter initParam = eventVolVarHash.get(volVar);
        // check event initial condition, it shouldn't contain vars, we have to do it here, coz we want to substitute functions...etc.
        Expression eapExp = MathUtilities.substituteFunctions(initParam.getExpression(), mathDesc);
        if (eapExp.getSymbols() != null) {
            for (String symbol : eapExp.getSymbols()) {
                SymbolTableEntry ste = eapExp.getSymbolBinding(symbol);
                if (ste instanceof VolVariable || ste instanceof MemVariable) {
                    throw new MathException("Variables are not allowed in Event assignment initial condition.\nEvent assignment target: " + volVar.getName() + " has variable (" + symbol + ") in its expression.");
                }
            }
        }
        Expression rateExpr = new Expression(0.0);
        RateRuleRateParameter rateParam = rateRuleRateParamHash.get(volVar);
        if (rateParam != null) {
            // this is a rate rule, get its expression.
            rateExpr = new Expression(getMathSymbol(rateParam, null));
        }
        Equation equation = new OdeEquation(volVar, new Expression(getMathSymbol(initParam, null)), rateExpr);
        subDomain.addEquation(equation);
    }
    // events - add events to math desc for event assignments that have parameters as target variables
    if (bioevents != null && bioevents.length > 0) {
        for (BioEvent be : bioevents) {
            // transform the bioEvent trigger/delay to math Event
            LocalParameter genTriggerParam = be.getParameter(BioEventParameterType.GeneralTriggerFunction);
            Expression mathTriggerExpr = getIdentifierSubstitutions(new Expression(genTriggerParam, be.getNameScope()), modelUnitSystem.getInstance_DIMENSIONLESS(), null);
            Delay mathDelay = null;
            LocalParameter delayParam = be.getParameter(BioEventParameterType.TriggerDelay);
            if (delayParam != null && delayParam.getExpression() != null && !delayParam.getExpression().compareEqual(new Expression(0.0))) {
                boolean bUseValsFromTriggerTime = be.getUseValuesFromTriggerTime();
                Expression mathDelayExpr = getIdentifierSubstitutions(new Expression(delayParam, be.getNameScope()), timeUnit, null);
                mathDelay = new Delay(bUseValsFromTriggerTime, mathDelayExpr);
            }
            // now deal with (bio)event Assignment translation to math EventAssignment
            ArrayList<EventAssignment> eventAssignments = be.getEventAssignments();
            ArrayList<Event.EventAssignment> mathEventAssignmentsList = new ArrayList<Event.EventAssignment>();
            if (eventAssignments != null) {
                for (EventAssignment ea : eventAssignments) {
                    SymbolTableEntry ste = simContext.getEntry(ea.getTarget().getName());
                    if (ste instanceof StructureSize) {
                        throw new RuntimeException("Event Assignment Variable for compartment size is not supported yet");
                    }
                    VCUnitDefinition eventAssignVarUnit = ste.getUnitDefinition();
                    Variable variable = varHash.getVariable(ste.getName());
                    Event.EventAssignment mathEA = new Event.EventAssignment(variable, getIdentifierSubstitutions(ea.getAssignmentExpression(), eventAssignVarUnit, null));
                    mathEventAssignmentsList.add(mathEA);
                }
            }
            // use the translated trigger, delay and event assignments to create (math) event
            Event mathEvent = new Event(be.getName(), mathTriggerExpr, mathDelay, mathEventAssignmentsList);
            mathDesc.addEvent(mathEvent);
        }
    }
    if (simContext.getMicroscopeMeasurement() != null && simContext.getMicroscopeMeasurement().getFluorescentSpecies().size() > 0) {
        MicroscopeMeasurement measurement = simContext.getMicroscopeMeasurement();
        Expression volumeConcExp = new Expression(0.0);
        Expression membraneDensityExp = new Expression(0.0);
        for (SpeciesContext speciesContext : measurement.getFluorescentSpecies()) {
            GeometryClass geometryClass = simContext.getGeometryContext().getStructureMapping(speciesContext.getStructure()).getGeometryClass();
            StructureMapping structureMapping = simContext.getGeometryContext().getStructureMapping(speciesContext.getStructure());
            StructureMappingParameter unitSizeParameter = structureMapping.getUnitSizeParameter();
            Expression mappedSpeciesContextExpression = Expression.mult(unitSizeParameter.getExpression(), new Expression(getMathSymbol(speciesContext, geometryClass)));
            VCUnitDefinition mappedSpeciesContextUnit = unitSizeParameter.getUnitDefinition().multiplyBy(speciesContext.getUnitDefinition());
            if (geometryClass instanceof SubVolume) {
                // volume function
                int dimension = 3;
                VCUnitDefinition desiredConcUnits = model.getUnitSystem().getInstance("molecules").divideBy(model.getUnitSystem().getLengthUnit().raiseTo(new ucar.units_vcell.RationalNumber(dimension)));
                Expression unitFactor = getUnitFactor(desiredConcUnits.divideBy(mappedSpeciesContextUnit));
                volumeConcExp = Expression.add(volumeConcExp, Expression.mult(unitFactor, mappedSpeciesContextExpression)).flatten();
            } else if (geometryClass instanceof SurfaceClass) {
                // membrane function
                int dimension = 2;
                VCUnitDefinition desiredSurfaceDensityUnits = model.getUnitSystem().getInstance("molecules").divideBy(model.getUnitSystem().getLengthUnit().raiseTo(new ucar.units_vcell.RationalNumber(dimension)));
                Expression unitFactor = getUnitFactor(desiredSurfaceDensityUnits.divideBy(mappedSpeciesContextUnit));
                membraneDensityExp = Expression.add(membraneDensityExp, Expression.mult(unitFactor, mappedSpeciesContextExpression)).flatten();
            } else {
                throw new MathException("unsupported geometry mapping for microscopy measurement");
            }
        }
        ConvolutionKernel kernel = measurement.getConvolutionKernel();
        if (kernel instanceof ExperimentalPSF) {
            if (!membraneDensityExp.isZero()) {
                throw new MappingException("membrane variables and functions not yet supported for Z projection in Microcopy Measurements");
            }
            ExperimentalPSF psf = (ExperimentalPSF) kernel;
            DataSymbol psfDataSymbol = psf.getPSFDataSymbol();
            if (psfDataSymbol instanceof FieldDataSymbol) {
                FieldDataSymbol fieldDataSymbol = (FieldDataSymbol) psfDataSymbol;
                String fieldDataName = ((FieldDataSymbol) psfDataSymbol).getExternalDataIdentifier().getName();
                Expression psfExp = Expression.function(FieldFunctionDefinition.FUNCTION_name, new Expression("'" + fieldDataName + "'"), new Expression("'" + fieldDataSymbol.getFieldDataVarName() + "'"), new Expression(fieldDataSymbol.getFieldDataVarTime()), new Expression("'" + fieldDataSymbol.getFieldDataVarType() + "'"));
                varHash.addVariable(new Function("__PSF__", psfExp, null));
            }
            Expression convExp = Expression.function(ConvFunctionDefinition.FUNCTION_name, volumeConcExp, new Expression("__PSF__"));
            varHash.addVariable(newFunctionOrConstant(measurement.getName(), convExp, null));
        } else if (kernel instanceof GaussianConvolutionKernel) {
            GaussianConvolutionKernel gaussianConvolutionKernel = (GaussianConvolutionKernel) kernel;
            GaussianConvolutionDataGeneratorKernel mathKernel = new GaussianConvolutionDataGeneratorKernel(gaussianConvolutionKernel.getSigmaXY_um(), gaussianConvolutionKernel.getSigmaZ_um());
            ConvolutionDataGenerator dataGenerator = new ConvolutionDataGenerator(measurement.getName(), mathKernel, volumeConcExp, membraneDensityExp);
            mathDesc.getPostProcessingBlock().addDataGenerator(dataGenerator);
        } else if (kernel instanceof ProjectionZKernel) {
            if (mathDesc.getGeometry().getDimension() == 3) {
                if (!membraneDensityExp.isZero()) {
                    throw new MappingException("membrane variables and functions not yet supported for Z projection in Microcopy Measurements");
                }
                ProjectionDataGenerator dataGenerator = new ProjectionDataGenerator(measurement.getName(), null, ProjectionDataGenerator.Axis.z, ProjectionDataGenerator.Operation.sum, volumeConcExp);
                mathDesc.getPostProcessingBlock().addDataGenerator(dataGenerator);
            } else {
                throw new MappingException("Z Projection is only supported in 3D spatial applications.");
            }
        }
    }
    // 
    for (int i = 0; i < fieldMathMappingParameters.length; i++) {
        if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
            GeometryClass geometryClass = fieldMathMappingParameters[i].getGeometryClass();
            Variable variable = newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass), fieldMathMappingParameters[i].getGeometryClass());
            if (mathDesc.getVariable(variable.getName()) == null) {
                mathDesc.addVariable(variable);
            }
        }
    }
    if (!mathDesc.isValid()) {
        System.out.println(mathDesc.getVCML_database());
        throw new MappingException("generated an invalid mathDescription: " + mathDesc.getWarning());
    }
// System.out.println("]]]]]]]]]]]]]]]]]]]]]] VCML string begin ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]");
// System.out.println(mathDesc.getVCML());
// System.out.println("]]]]]]]]]]]]]]]]]]]]]] VCML string end ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]");
}
Also used : MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) ArrayList(java.util.ArrayList) StructureMappingParameter(cbit.vcell.mapping.StructureMapping.StructureMappingParameter) SpeciesContext(cbit.vcell.model.SpeciesContext) Feature(cbit.vcell.model.Feature) MemVariable(cbit.vcell.math.MemVariable) SubVolume(cbit.vcell.geometry.SubVolume) Vector(java.util.Vector) SpeciesContextSpecParameter(cbit.vcell.mapping.SpeciesContextSpec.SpeciesContextSpecParameter) FastInvariant(cbit.vcell.math.FastInvariant) GaussianConvolutionKernel(cbit.vcell.mapping.MicroscopeMeasurement.GaussianConvolutionKernel) PropertyVetoException(java.beans.PropertyVetoException) FieldDataSymbol(cbit.vcell.data.FieldDataSymbol) DataSymbol(cbit.vcell.data.DataSymbol) VCUnitDefinition(cbit.vcell.units.VCUnitDefinition) FastSystem(cbit.vcell.math.FastSystem) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) ReactionStep(cbit.vcell.model.ReactionStep) Map(java.util.Map) HashMap(java.util.HashMap) MembraneRegionEquation(cbit.vcell.math.MembraneRegionEquation) SurfaceClass(cbit.vcell.geometry.SurfaceClass) VariableHash(cbit.vcell.math.VariableHash) ExperimentalPSF(cbit.vcell.mapping.MicroscopeMeasurement.ExperimentalPSF) ConvolutionDataGenerator(cbit.vcell.math.ConvolutionDataGenerator) GaussianConvolutionDataGeneratorKernel(cbit.vcell.math.ConvolutionDataGenerator.GaussianConvolutionDataGeneratorKernel) Structure(cbit.vcell.model.Structure) ModelUnitSystem(cbit.vcell.model.ModelUnitSystem) LocalParameter(cbit.vcell.mapping.ParameterContext.LocalParameter) VoltageClampElectricalDevice(cbit.vcell.mapping.potential.VoltageClampElectricalDevice) StructureMappingParameter(cbit.vcell.mapping.StructureMapping.StructureMappingParameter) Expression(cbit.vcell.parser.Expression) Model(cbit.vcell.model.Model) StructureMappingParameter(cbit.vcell.mapping.StructureMapping.StructureMappingParameter) Parameter(cbit.vcell.model.Parameter) SpeciesContextSpecProxyParameter(cbit.vcell.mapping.SpeciesContextSpec.SpeciesContextSpecProxyParameter) SimulationContextParameter(cbit.vcell.mapping.SimulationContext.SimulationContextParameter) ModelParameter(cbit.vcell.model.Model.ModelParameter) SpeciesContextSpecParameter(cbit.vcell.mapping.SpeciesContextSpec.SpeciesContextSpecParameter) LocalParameter(cbit.vcell.mapping.ParameterContext.LocalParameter) Event(cbit.vcell.math.Event) ProjectionDataGenerator(cbit.vcell.math.ProjectionDataGenerator) SurfaceRegionObject(cbit.vcell.mapping.spatial.SurfaceRegionObject) FieldDataSymbol(cbit.vcell.data.FieldDataSymbol) MembraneRegionVariable(cbit.vcell.math.MembraneRegionVariable) HashMap(java.util.HashMap) MathDescription(cbit.vcell.math.MathDescription) MembraneElectricalDevice(cbit.vcell.mapping.potential.MembraneElectricalDevice) Delay(cbit.vcell.math.Event.Delay) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) PointSubDomain(cbit.vcell.math.PointSubDomain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) PropertyVetoException(java.beans.PropertyVetoException) PdeEquation(cbit.vcell.math.PdeEquation) CurrentClampElectricalDevice(cbit.vcell.mapping.potential.CurrentClampElectricalDevice) SpatialQuantity(cbit.vcell.mapping.spatial.SpatialObject.SpatialQuantity) SpeciesContextSpecParameter(cbit.vcell.mapping.SpeciesContextSpec.SpeciesContextSpecParameter) EventAssignment(cbit.vcell.mapping.BioEvent.EventAssignment) CurrentClampElectricalDevice(cbit.vcell.mapping.potential.CurrentClampElectricalDevice) MembraneElectricalDevice(cbit.vcell.mapping.potential.MembraneElectricalDevice) ElectricalDevice(cbit.vcell.mapping.potential.ElectricalDevice) VoltageClampElectricalDevice(cbit.vcell.mapping.potential.VoltageClampElectricalDevice) VolVariable(cbit.vcell.math.VolVariable) StructureSize(cbit.vcell.model.Structure.StructureSize) ProjectionZKernel(cbit.vcell.mapping.MicroscopeMeasurement.ProjectionZKernel) ModelParameter(cbit.vcell.model.Model.ModelParameter) OdeEquation(cbit.vcell.math.OdeEquation) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) PointSubDomain(cbit.vcell.math.PointSubDomain) Domain(cbit.vcell.math.Variable.Domain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) JumpCondition(cbit.vcell.math.JumpCondition) GeometryClass(cbit.vcell.geometry.GeometryClass) VolVariable(cbit.vcell.math.VolVariable) MembraneRegionVariable(cbit.vcell.math.MembraneRegionVariable) PointVariable(cbit.vcell.math.PointVariable) VolumeRegionVariable(cbit.vcell.math.VolumeRegionVariable) MemVariable(cbit.vcell.math.MemVariable) Variable(cbit.vcell.math.Variable) SpeciesContextSpecProxyParameter(cbit.vcell.mapping.SpeciesContextSpec.SpeciesContextSpecProxyParameter) Constant(cbit.vcell.math.Constant) VolumeRegionVariable(cbit.vcell.math.VolumeRegionVariable) Function(cbit.vcell.math.Function) SymbolTableEntry(cbit.vcell.parser.SymbolTableEntry) Membrane(cbit.vcell.model.Membrane) VolumeRegionEquation(cbit.vcell.math.VolumeRegionEquation) PotentialMapping(cbit.vcell.mapping.potential.PotentialMapping) EventAssignment(cbit.vcell.mapping.BioEvent.EventAssignment) FieldFunctionArguments(cbit.vcell.field.FieldFunctionArguments) PdeEquation(cbit.vcell.math.PdeEquation) ComputeMembraneMetricEquation(cbit.vcell.math.ComputeMembraneMetricEquation) VolumeRegionEquation(cbit.vcell.math.VolumeRegionEquation) OdeEquation(cbit.vcell.math.OdeEquation) MembraneRegionEquation(cbit.vcell.math.MembraneRegionEquation) Equation(cbit.vcell.math.Equation) FastRate(cbit.vcell.math.FastRate) SimulationContextParameter(cbit.vcell.mapping.SimulationContext.SimulationContextParameter) ConvolutionKernel(cbit.vcell.mapping.MicroscopeMeasurement.ConvolutionKernel) GaussianConvolutionKernel(cbit.vcell.mapping.MicroscopeMeasurement.GaussianConvolutionKernel) MathException(cbit.vcell.math.MathException)

Example 5 with VolVariable

use of cbit.vcell.math.VolVariable in project vcell by virtualcell.

the class DiffEquMathMapping method addSpatialProcesses.

private void addSpatialProcesses(VariableHash varHash, ArrayList<CompartmentSubdomainContext> compartmentSubdomainContexts, ArrayList<MembraneSubdomainContext> membraneSubdomainContexts) throws MathException, MappingException, ExpressionException {
    if (simContext.getGeometry().getDimension() == 0) {
        return;
    }
    // 
    for (SpatialObject spatialObject : simContext.getSpatialObjects()) {
        if (spatialObject instanceof PointObject) {
            PointObject pointObject = (PointObject) spatialObject;
            // 
            // if true, have to solve for this category
            // 
            boolean bPosition = pointObject.isQuantityCategoryEnabled(QuantityCategory.PointPosition);
            boolean bVelocity = pointObject.isQuantityCategoryEnabled(QuantityCategory.PointVelocity);
            boolean bDirection = pointObject.isQuantityCategoryEnabled(QuantityCategory.DirectionToPoint);
            boolean bDistance = pointObject.isQuantityCategoryEnabled(QuantityCategory.PointDistanceMap);
            // 
            // either make a point subdomain, or just define functions.
            // 
            ArrayList<PointLocation> pointLocationProcesses = new ArrayList<PointLocation>();
            ArrayList<PointKinematics> pointKinematicsProcesses = new ArrayList<PointKinematics>();
            for (SpatialProcess spatialProcess : simContext.getSpatialProcesses()) {
                if (spatialProcess instanceof PointLocation && ((PointLocation) spatialProcess).getPointObject() == pointObject) {
                    pointLocationProcesses.add((PointLocation) spatialProcess);
                }
                if (spatialProcess instanceof PointKinematics && ((PointKinematics) spatialProcess).getPointObject() == pointObject) {
                    pointKinematicsProcesses.add((PointKinematics) spatialProcess);
                }
            }
            if (pointLocationProcesses.size() == 1 && pointKinematicsProcesses.size() == 0 && !bVelocity) {
                GeometryClass gc = null;
                PointLocation pointLocation = pointLocationProcesses.get(0);
                if (bPosition) {
                    if (simContext.getGeometry().getDimension() == 1) {
                        SpatialQuantity posXQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.X);
                        LocalParameter posXParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXParam, gc), getIdentifierSubstitutions(posXParam.getExpression(), posXParam.getUnitDefinition(), gc), gc));
                        Expression posXExp = new Expression(posXParam, pointLocation.getNameScope());
                        Expression xExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.X), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXQuantity, gc), getIdentifierSubstitutions(posXExp, posXQuantity.getUnitDefinition(), gc), gc));
                        Expression posX_minus_X = Expression.add(posXExp, Expression.negate(xExp));
                        Expression signum_posX_minus_X = Expression.function(FunctionType.MIN, new Expression(1.0), Expression.function(FunctionType.MAX, Expression.mult(new Expression(1e10), posX_minus_X), new Expression(-1)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(signum_posX_minus_X, dirXQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            Expression abs_X_minux_posX = Expression.function(FunctionType.ABS, posX_minus_X);
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(abs_X_minux_posX, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                    if (simContext.getGeometry().getDimension() == 2) {
                        SpatialQuantity posXQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.X);
                        LocalParameter posXParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXParam, gc), getIdentifierSubstitutions(posXParam.getExpression(), posXParam.getUnitDefinition(), gc), gc));
                        Expression posXExp = new Expression(posXParam, pointLocation.getNameScope());
                        Expression xExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.X), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXQuantity, gc), getIdentifierSubstitutions(new Expression(posXParam, pointLocation.getNameScope()), posXQuantity.getUnitDefinition(), gc), gc));
                        SpatialQuantity posYQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.Y);
                        LocalParameter posYParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionY);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posYParam, gc), getIdentifierSubstitutions(posYParam.getExpression(), posYParam.getUnitDefinition(), gc), gc));
                        Expression posYExp = new Expression(posYParam, pointLocation.getNameScope());
                        Expression yExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.Y), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posYQuantity, gc), getIdentifierSubstitutions(new Expression(posYParam, pointLocation.getNameScope()), posYQuantity.getUnitDefinition(), gc), gc));
                        Expression posX_minux_X = Expression.add(posXExp, Expression.negate(xExp));
                        Expression posY_minux_Y = Expression.add(posYExp, Expression.negate(yExp));
                        Expression DX2 = Expression.mult(posX_minux_X, posX_minux_X);
                        Expression DY2 = Expression.mult(posY_minux_Y, posY_minux_Y);
                        Expression sqrt_DX2_DY2 = Expression.function(FunctionType.SQRT, Expression.add(DX2, DY2));
                        Expression dirX = Expression.div(posX_minux_X, Expression.add(sqrt_DX2_DY2, new Expression(1e-8)));
                        Expression dirY = Expression.div(posY_minux_Y, Expression.add(sqrt_DX2_DY2, new Expression(1e-8)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(dirX, dirXQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirYQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Y);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirYQuantity, gc), getIdentifierSubstitutions(dirY, dirYQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(sqrt_DX2_DY2, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                    if (simContext.getGeometry().getDimension() == 3) {
                        SpatialQuantity posXQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.X);
                        LocalParameter posXParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXParam, gc), getIdentifierSubstitutions(posXParam.getExpression(), posXParam.getUnitDefinition(), gc), gc));
                        Expression posXExp = new Expression(posXParam, pointLocation.getNameScope());
                        Expression xExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.X), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posXQuantity, gc), getIdentifierSubstitutions(new Expression(posXParam, pointLocation.getNameScope()), posXQuantity.getUnitDefinition(), gc), gc));
                        SpatialQuantity posYQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.Y);
                        LocalParameter posYParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionY);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posYParam, gc), getIdentifierSubstitutions(posYParam.getExpression(), posYParam.getUnitDefinition(), gc), gc));
                        Expression posYExp = new Expression(posYParam, pointLocation.getNameScope());
                        Expression yExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.Y), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posYQuantity, gc), getIdentifierSubstitutions(new Expression(posYParam, pointLocation.getNameScope()), posYQuantity.getUnitDefinition(), gc), gc));
                        SpatialQuantity posZQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.Z);
                        LocalParameter posZParam = pointLocation.getParameter(SpatialProcessParameterType.PointPositionZ);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posZParam, gc), getIdentifierSubstitutions(posZParam.getExpression(), posZParam.getUnitDefinition(), gc), gc));
                        Expression posZExp = new Expression(posZParam, pointLocation.getNameScope());
                        Expression zExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.Z), simContext.getModel().getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(posZQuantity, gc), getIdentifierSubstitutions(new Expression(posZParam, pointLocation.getNameScope()), posZQuantity.getUnitDefinition(), gc), gc));
                        Expression posX_minux_X = Expression.add(posXExp, Expression.negate(xExp));
                        Expression posY_minux_Y = Expression.add(posYExp, Expression.negate(yExp));
                        Expression posZ_minux_Z = Expression.add(posZExp, Expression.negate(zExp));
                        Expression DX2 = Expression.mult(posX_minux_X, posX_minux_X);
                        Expression DY2 = Expression.mult(posY_minux_Y, posY_minux_Y);
                        Expression DZ2 = Expression.mult(posZ_minux_Z, posZ_minux_Z);
                        Expression sqrt_DX2_DY2_DZ2 = Expression.function(FunctionType.SQRT, Expression.add(DX2, DY2, DZ2));
                        Expression dirX = Expression.div(posX_minux_X, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        Expression dirY = Expression.div(posY_minux_Y, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        Expression dirZ = Expression.div(posZ_minux_Z, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(dirX, dirXQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirYQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Y);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirYQuantity, gc), getIdentifierSubstitutions(dirY, dirYQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirZQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Z);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirZQuantity, gc), getIdentifierSubstitutions(dirZ, dirZQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(sqrt_DX2_DY2_DZ2, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                } else {
                    throw new MappingException("PointLocation process defined for pointObject '" + pointObject.getName() + "' but Position not enabled");
                }
            } else if (pointLocationProcesses.size() == 0 && pointKinematicsProcesses.size() == 1) {
                GeometryClass gc = null;
                PointKinematics pointKinematics = pointKinematicsProcesses.get(0);
                if (bPosition && bVelocity) {
                    LocalParameter velXParam = pointKinematics.getParameter(SpatialProcessParameterType.PointVelocityX);
                    LocalParameter iniPosXParam = pointKinematics.getParameter(SpatialProcessParameterType.PointInitialPositionX);
                    SpatialQuantity posXQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.X);
                    SpatialQuantity velXQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointVelocity, QuantityComponent.X);
                    Expression posXExp = new Expression(posXQuantity, simContext.getNameScope());
                    Expression xExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.X), simContext.getModel().getNameScope());
                    Expression posX_minux_X = Expression.add(posXExp, Expression.negate(xExp));
                    LocalParameter velYParam = pointKinematics.getParameter(SpatialProcessParameterType.PointVelocityY);
                    LocalParameter iniPosYParam = pointKinematics.getParameter(SpatialProcessParameterType.PointInitialPositionY);
                    SpatialQuantity posYQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.Y);
                    SpatialQuantity velYQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointVelocity, QuantityComponent.Y);
                    Expression posYExp = new Expression(posYQuantity, simContext.getNameScope());
                    Expression yExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.Y), simContext.getModel().getNameScope());
                    Expression posY_minux_Y = Expression.add(posYExp, Expression.negate(yExp));
                    LocalParameter velZParam = pointKinematics.getParameter(SpatialProcessParameterType.PointVelocityZ);
                    LocalParameter iniPosZParam = pointKinematics.getParameter(SpatialProcessParameterType.PointInitialPositionZ);
                    SpatialQuantity posZQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointPosition, QuantityComponent.Z);
                    SpatialQuantity velZQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointVelocity, QuantityComponent.Z);
                    Expression posZExp = new Expression(posZQuantity, simContext.getNameScope());
                    Expression zExp = new Expression(simContext.getModel().getReservedSymbolByRole(ReservedSymbolRole.Z), simContext.getModel().getNameScope());
                    Expression posZ_minux_Z = Expression.add(posZExp, Expression.negate(zExp));
                    String pointSubdomainName = pointObject.getName();
                    Domain domain = new Domain(pointSubdomainName);
                    PointSubDomain pointSubdomain = new PointSubDomain(pointSubdomainName);
                    mathDesc.addSubDomain(pointSubdomain);
                    if (simContext.getGeometry().getDimension() >= 1) {
                        PointVariable posXVar = new PointVariable(getMathSymbol(posXQuantity, gc), domain);
                        varHash.addVariable(posXVar);
                        Expression initXExp = getIdentifierSubstitutions(new Expression(iniPosXParam, pointKinematics.getNameScope()), iniPosXParam.getUnitDefinition(), gc);
                        Expression rateXExp = getIdentifierSubstitutions(new Expression(velXParam, pointKinematics.getNameScope()), velXParam.getUnitDefinition(), gc);
                        OdeEquation odeX = new OdeEquation(posXVar, initXExp, rateXExp);
                        pointSubdomain.addEquation(odeX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(iniPosXParam, gc), getIdentifierSubstitutions(new Expression(iniPosXParam.getExpression()), iniPosXParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXParam, gc), getIdentifierSubstitutions(new Expression(velXParam.getExpression()), velXParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXQuantity, gc), getIdentifierSubstitutions(new Expression(velXParam, pointKinematics.getNameScope()), velXQuantity.getUnitDefinition(), gc), gc));
                        pointSubdomain.setPositionX(getIdentifierSubstitutions(new Expression(posXQuantity, simContext.getNameScope()), posXQuantity.getUnitDefinition(), gc));
                    }
                    if (simContext.getGeometry().getDimension() >= 2) {
                        PointVariable posYVar = new PointVariable(getMathSymbol(posYQuantity, gc), domain);
                        varHash.addVariable(posYVar);
                        Expression initYExp = getIdentifierSubstitutions(new Expression(iniPosYParam, pointKinematics.getNameScope()), iniPosYParam.getUnitDefinition(), gc);
                        Expression rateYExp = getIdentifierSubstitutions(new Expression(velYParam, pointKinematics.getNameScope()), velYParam.getUnitDefinition(), gc);
                        OdeEquation odeY = new OdeEquation(posYVar, initYExp, rateYExp);
                        pointSubdomain.addEquation(odeY);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(iniPosYParam, gc), getIdentifierSubstitutions(new Expression(iniPosYParam.getExpression()), iniPosYParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYParam, gc), getIdentifierSubstitutions(new Expression(velYParam.getExpression()), velYParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYQuantity, gc), getIdentifierSubstitutions(new Expression(velYParam, pointKinematics.getNameScope()), velYQuantity.getUnitDefinition(), gc), gc));
                        pointSubdomain.setPositionY(getIdentifierSubstitutions(new Expression(posYQuantity, simContext.getNameScope()), posYQuantity.getUnitDefinition(), gc));
                    }
                    if (simContext.getGeometry().getDimension() == 3) {
                        PointVariable posZVar = new PointVariable(getMathSymbol(posZQuantity, gc), domain);
                        varHash.addVariable(posZVar);
                        Expression initZExp = getIdentifierSubstitutions(new Expression(iniPosZParam, pointKinematics.getNameScope()), iniPosZParam.getUnitDefinition(), gc);
                        Expression rateZExp = getIdentifierSubstitutions(new Expression(velZParam, pointKinematics.getNameScope()), velZParam.getUnitDefinition(), gc);
                        OdeEquation odeZ = new OdeEquation(posZVar, initZExp, rateZExp);
                        pointSubdomain.addEquation(odeZ);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(iniPosZParam, gc), getIdentifierSubstitutions(new Expression(iniPosZParam.getExpression()), iniPosZParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZParam, gc), getIdentifierSubstitutions(new Expression(velZParam.getExpression()), velZParam.getUnitDefinition(), gc), gc));
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZQuantity, gc), getIdentifierSubstitutions(new Expression(velZParam, pointKinematics.getNameScope()), velZQuantity.getUnitDefinition(), gc), gc));
                        pointSubdomain.setPositionZ(getIdentifierSubstitutions(new Expression(posZQuantity, simContext.getNameScope()), posZQuantity.getUnitDefinition(), gc));
                    }
                    if (simContext.getGeometry().getDimension() == 1) {
                        Expression signum_posX_minus_X = Expression.function(FunctionType.MIN, new Expression(1.0), Expression.function(FunctionType.MAX, Expression.mult(new Expression(1e10), posX_minux_X), new Expression(-1)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(signum_posX_minus_X, dirXQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            Expression abs_X_minux_posX = Expression.function(FunctionType.ABS, posX_minux_X);
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(abs_X_minux_posX, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                    if (simContext.getGeometry().getDimension() == 2) {
                        Expression DX2 = Expression.mult(posX_minux_X, posX_minux_X);
                        Expression DY2 = Expression.mult(posY_minux_Y, posY_minux_Y);
                        Expression sqrt_DX2_DY2 = Expression.function(FunctionType.SQRT, Expression.add(DX2, DY2));
                        Expression dirX = Expression.div(posX_minux_X, Expression.add(sqrt_DX2_DY2, new Expression(1e-8)));
                        Expression dirY = Expression.div(posY_minux_Y, Expression.add(sqrt_DX2_DY2, new Expression(1e-8)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(dirX, dirXQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirYQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Y);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirYQuantity, gc), getIdentifierSubstitutions(dirY, dirYQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(sqrt_DX2_DY2, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                    if (simContext.getGeometry().getDimension() == 3) {
                        Expression DX2 = Expression.mult(posX_minux_X, posX_minux_X);
                        Expression DY2 = Expression.mult(posY_minux_Y, posY_minux_Y);
                        Expression DZ2 = Expression.mult(posZ_minux_Z, posZ_minux_Z);
                        Expression sqrt_DX2_DY2_DZ2 = Expression.function(FunctionType.SQRT, Expression.add(DX2, DY2, DZ2));
                        Expression dirX = Expression.div(posX_minux_X, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        Expression dirY = Expression.div(posY_minux_Y, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        Expression dirZ = Expression.div(posZ_minux_Z, Expression.add(sqrt_DX2_DY2_DZ2, new Expression(1e-8)));
                        if (bDirection) {
                            SpatialQuantity dirXQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.X);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirXQuantity, gc), getIdentifierSubstitutions(dirX, dirXQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirYQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Y);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirYQuantity, gc), getIdentifierSubstitutions(dirY, dirYQuantity.getUnitDefinition(), gc), gc));
                            SpatialQuantity dirZQuantity = pointObject.getSpatialQuantity(QuantityCategory.DirectionToPoint, QuantityComponent.Z);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(dirZQuantity, gc), getIdentifierSubstitutions(dirZ, dirZQuantity.getUnitDefinition(), gc), gc));
                        }
                        if (bDistance) {
                            SpatialQuantity distanceQuantity = pointObject.getSpatialQuantity(QuantityCategory.PointDistanceMap, QuantityComponent.Scalar);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(distanceQuantity, gc), getIdentifierSubstitutions(sqrt_DX2_DY2_DZ2, distanceQuantity.getUnitDefinition(), gc), gc));
                        }
                    }
                } else {
                    throw new MappingException(pointKinematics.getDescription() + " process defined for pointObject '" + pointObject.getName() + "' but Position and Velocity not enabled");
                }
            } else {
                throw new MappingException("expecting 1 location or kinematics process for point '" + pointObject.getName() + "'");
            }
        } else if (spatialObject instanceof SurfaceRegionObject) {
            SurfaceRegionObject surfaceRegionObject = (SurfaceRegionObject) spatialObject;
            SubVolume insideSubvolume = surfaceRegionObject.getInsideSubVolume();
            SubVolume outsideSubvolume = surfaceRegionObject.getOutsideSubVolume();
            SurfaceClass surfaceClass = simContext.getGeometry().getGeometrySurfaceDescription().getSurfaceClass(insideSubvolume, outsideSubvolume);
            MembraneSubdomainContext memSubdomainContext = null;
            for (MembraneSubdomainContext context : membraneSubdomainContexts) {
                if (context.surfaceClass == surfaceClass) {
                    memSubdomainContext = context;
                }
            }
            // 
            // if true, have to solve for this category
            // 
            boolean bNormal = surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.Normal);
            boolean bVelocity = surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.SurfaceVelocity);
            boolean bDistance = surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.SurfaceDistanceMap);
            boolean bDirection = surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.DirectionToSurface);
            boolean bSize = surfaceRegionObject.isQuantityCategoryEnabled(QuantityCategory.SurfaceSize);
            if (bVelocity) {
                ArrayList<SurfaceKinematics> surfaceKinematicsList = new ArrayList<SurfaceKinematics>();
                for (SpatialProcess spatialProcess : simContext.getSpatialProcesses()) {
                    if (spatialProcess instanceof SurfaceKinematics && ((SurfaceKinematics) spatialProcess).getSurfaceRegionObject() == surfaceRegionObject) {
                        surfaceKinematicsList.add((SurfaceKinematics) spatialProcess);
                    }
                }
                if (surfaceKinematicsList.size() == 1) {
                    SurfaceKinematics surfaceKinematics = surfaceKinematicsList.get(0);
                    if (simContext.getGeometry().getDimension() >= 1) {
                        SpatialQuantity velXQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.X);
                        LocalParameter velXParam = surfaceKinematics.getParameter(SpatialProcessParameterType.SurfaceVelocityX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXParam, surfaceClass), getIdentifierSubstitutions(velXParam.getExpression(), velXParam.getUnitDefinition(), surfaceClass), surfaceClass));
                        Expression velXExp = new Expression(velXParam, surfaceKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXQuantity, surfaceClass), getIdentifierSubstitutions(velXExp, velXQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        if (bNormal) {
                            SpatialQuantity normXQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.Normal, QuantityComponent.X);
                            Expression normXExp = new Expression(MathFunctionDefinitions.FUNCTION_normalX);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(normXQuantity, surfaceClass), getIdentifierSubstitutions(normXExp, normXQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        }
                    }
                    if (simContext.getGeometry().getDimension() >= 2) {
                        SpatialQuantity velYQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.Y);
                        LocalParameter velYParam = surfaceKinematics.getParameter(SpatialProcessParameterType.SurfaceVelocityY);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYParam, surfaceClass), getIdentifierSubstitutions(velYParam.getExpression(), velYParam.getUnitDefinition(), surfaceClass), surfaceClass));
                        Expression velYExp = new Expression(velYParam, surfaceKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYQuantity, surfaceClass), getIdentifierSubstitutions(velYExp, velYQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        if (bNormal) {
                            SpatialQuantity normYQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.Normal, QuantityComponent.Y);
                            Expression normYExp = new Expression(MathFunctionDefinitions.FUNCTION_normalY);
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(normYQuantity, surfaceClass), getIdentifierSubstitutions(normYExp, normYQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        }
                    }
                    if (simContext.getGeometry().getDimension() >= 3) {
                        SpatialQuantity velZQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceVelocity, QuantityComponent.Z);
                        LocalParameter velZParam = surfaceKinematics.getParameter(SpatialProcessParameterType.SurfaceVelocityZ);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZParam, surfaceClass), getIdentifierSubstitutions(velZParam.getExpression(), velZParam.getUnitDefinition(), surfaceClass), surfaceClass));
                        Expression velYExp = new Expression(velZParam, surfaceKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZQuantity, surfaceClass), getIdentifierSubstitutions(velYExp, velZQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        if (bNormal) {
                            SpatialQuantity normZQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.Normal, QuantityComponent.Z);
                            // MathFunctionDefinitions.FUNCTION_normalZ);
                            Expression normZExp = new Expression("normalZ_not_implemented()");
                            varHash.addVariable(newFunctionOrConstant(getMathSymbol(normZQuantity, surfaceClass), getIdentifierSubstitutions(normZExp, normZQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
                        }
                    }
                } else {
                    throw new MappingException("expecting 1 Surface Kinematics process for Surface Object '" + surfaceRegionObject.getName() + "'");
                }
            }
            if (bSize) {
                SpatialQuantity sizeQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceSize, QuantityComponent.Scalar);
                String funcName = MathFunctionDefinitions.Function_regionArea_current.getFunctionName();
                Expression sizeExp = Expression.function(funcName, new Expression[] { new Expression("'" + surfaceClass.getName() + "'") });
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeQuantity, surfaceClass), getIdentifierSubstitutions(sizeExp, sizeQuantity.getUnitDefinition(), surfaceClass), surfaceClass));
            }
            if (bDirection) {
                SpatialQuantity directionXQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.DirectionToSurface, QuantityComponent.X);
                SpatialQuantity directionYQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.DirectionToSurface, QuantityComponent.Y);
                SpatialQuantity directionZQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.DirectionToSurface, QuantityComponent.Z);
                for (SubVolume adjacentSubvolume : surfaceClass.getAdjacentSubvolumes()) {
                    Domain domain = new Domain(adjacentSubvolume);
                    CompartmentSubDomain compSubdomain = mathDesc.getCompartmentSubDomain(adjacentSubvolume.getName());
                    if (simContext.getGeometry().getDimension() >= 1) {
                        String name = adjacentSubvolume.getName() + "_dirX_" + memSubdomainContext.membraneSubdomain.getName();
                        LocalizedDirectionToMembraneQuantity localDirectionXQuantity = addLocalizedDirectionToMembraneQuantity(name, surfaceClass, adjacentSubvolume, QuantityComponent.X);
                        VolVariable distanceVar = new VolVariable(getMathSymbol(localDirectionXQuantity, adjacentSubvolume), domain);
                        varHash.addVariable(distanceVar);
                        ComputeMembraneMetricEquation membraneMetricEquation = new ComputeMembraneMetricEquation(distanceVar, MembraneMetricComponent.directionToMembraneX);
                        membraneMetricEquation.setTargetMembraneName(memSubdomainContext.membraneSubdomain.getName());
                        compSubdomain.addEquation(membraneMetricEquation);
                    }
                    if (simContext.getGeometry().getDimension() >= 2) {
                        String name = adjacentSubvolume.getName() + "_dirY_" + memSubdomainContext.membraneSubdomain.getName();
                        LocalizedDirectionToMembraneQuantity localDirectionYQuantity = addLocalizedDirectionToMembraneQuantity(name, surfaceClass, adjacentSubvolume, QuantityComponent.Y);
                        VolVariable distanceVar = new VolVariable(getMathSymbol(localDirectionYQuantity, adjacentSubvolume), domain);
                        varHash.addVariable(distanceVar);
                        ComputeMembraneMetricEquation membraneMetricEquation = new ComputeMembraneMetricEquation(distanceVar, MembraneMetricComponent.directionToMembraneY);
                        membraneMetricEquation.setTargetMembraneName(memSubdomainContext.membraneSubdomain.getName());
                        compSubdomain.addEquation(membraneMetricEquation);
                    }
                    if (simContext.getGeometry().getDimension() == 3) {
                        String name = adjacentSubvolume.getName() + "_dirZ_" + memSubdomainContext.membraneSubdomain.getName();
                        LocalizedDirectionToMembraneQuantity localDirectionZQuantity = addLocalizedDirectionToMembraneQuantity(name, surfaceClass, adjacentSubvolume, QuantityComponent.Z);
                        VolVariable distanceVar = new VolVariable(getMathSymbol(localDirectionZQuantity, adjacentSubvolume), domain);
                        varHash.addVariable(distanceVar);
                        ComputeMembraneMetricEquation membraneMetricEquation = new ComputeMembraneMetricEquation(distanceVar, MembraneMetricComponent.directionToMembraneZ);
                        membraneMetricEquation.setTargetMembraneName(memSubdomainContext.membraneSubdomain.getName());
                        compSubdomain.addEquation(membraneMetricEquation);
                    }
                }
            }
            if (bDistance) {
                SpatialQuantity distanceQuantity = surfaceRegionObject.getSpatialQuantity(QuantityCategory.SurfaceDistanceMap, QuantityComponent.Scalar);
                for (SubVolume adjacentSubvolume : surfaceClass.getAdjacentSubvolumes()) {
                    String name = adjacentSubvolume.getName() + "_distanceTo_" + memSubdomainContext.membraneSubdomain.getName();
                    LocalizedDistanceToMembraneQuantity localDistanceQuantity = addLocalizedDistanceToMembraneQuantity(name, surfaceClass, adjacentSubvolume);
                    CompartmentSubDomain compSubdomain = mathDesc.getCompartmentSubDomain(adjacentSubvolume.getName());
                    Domain domain = new Domain(adjacentSubvolume);
                    VolVariable distanceVar = new VolVariable(getMathSymbol(localDistanceQuantity, adjacentSubvolume), domain);
                    varHash.addVariable(distanceVar);
                    ComputeMembraneMetricEquation membraneMetricEquation = new ComputeMembraneMetricEquation(distanceVar, MembraneMetricComponent.distanceToMembrane);
                    membraneMetricEquation.setTargetMembraneName(memSubdomainContext.membraneSubdomain.getName());
                    compSubdomain.addEquation(membraneMetricEquation);
                }
            }
        } else if (spatialObject instanceof VolumeRegionObject) {
            VolumeRegionObject volumeRegionObject = (VolumeRegionObject) spatialObject;
            SubVolume subvolume = volumeRegionObject.getSubVolume();
            boolean bCentroid = volumeRegionObject.isQuantityCategoryEnabled(QuantityCategory.DirectionToSurface);
            boolean bSize = volumeRegionObject.isQuantityCategoryEnabled(QuantityCategory.VolumeSize);
            boolean bVelocity = volumeRegionObject.isQuantityCategoryEnabled(QuantityCategory.InteriorVelocity);
            if (bVelocity) {
                ArrayList<VolumeKinematics> volumeKinematicsList = new ArrayList<VolumeKinematics>();
                for (SpatialProcess spatialProcess : simContext.getSpatialProcesses()) {
                    if (spatialProcess instanceof VolumeKinematics && ((VolumeKinematics) spatialProcess).getVolumeRegionObject() == volumeRegionObject) {
                        volumeKinematicsList.add((VolumeKinematics) spatialProcess);
                    }
                }
                if (volumeKinematicsList.size() == 1) {
                    VolumeKinematics volumeKinematics = volumeKinematicsList.get(0);
                    if (simContext.getGeometry().getDimension() >= 1) {
                        SpatialQuantity velXQuantity = volumeRegionObject.getSpatialQuantity(QuantityCategory.InteriorVelocity, QuantityComponent.X);
                        LocalParameter velXParam = volumeKinematics.getParameter(SpatialProcessParameterType.InternalVelocityX);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXParam, subvolume), getIdentifierSubstitutions(velXParam.getExpression(), velXParam.getUnitDefinition(), subvolume), subvolume));
                        Expression velXExp = new Expression(velXParam, volumeKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velXQuantity, subvolume), getIdentifierSubstitutions(velXExp, velXQuantity.getUnitDefinition(), subvolume), subvolume));
                    }
                    if (simContext.getGeometry().getDimension() >= 2) {
                        SpatialQuantity velYQuantity = volumeRegionObject.getSpatialQuantity(QuantityCategory.InteriorVelocity, QuantityComponent.Y);
                        LocalParameter velYParam = volumeKinematics.getParameter(SpatialProcessParameterType.InternalVelocityY);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYParam, subvolume), getIdentifierSubstitutions(velYParam.getExpression(), velYParam.getUnitDefinition(), subvolume), subvolume));
                        Expression velYExp = new Expression(velYParam, volumeKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velYQuantity, subvolume), getIdentifierSubstitutions(velYExp, velYQuantity.getUnitDefinition(), subvolume), subvolume));
                    }
                    if (simContext.getGeometry().getDimension() == 3) {
                        SpatialQuantity velZQuantity = volumeRegionObject.getSpatialQuantity(QuantityCategory.InteriorVelocity, QuantityComponent.Z);
                        LocalParameter velZParam = volumeKinematics.getParameter(SpatialProcessParameterType.InternalVelocityZ);
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZParam, subvolume), getIdentifierSubstitutions(velZParam.getExpression(), velZParam.getUnitDefinition(), subvolume), subvolume));
                        Expression velZExp = new Expression(velZParam, volumeKinematics.getNameScope());
                        varHash.addVariable(newFunctionOrConstant(getMathSymbol(velZQuantity, subvolume), getIdentifierSubstitutions(velZExp, velZQuantity.getUnitDefinition(), subvolume), subvolume));
                    }
                } else {
                    throw new MappingException("expecting 1 Volume Kinematics process for Volume Object '" + volumeRegionObject.getName() + "'");
                }
            }
            if (bSize) {
                SpatialQuantity sizeQuantity = volumeRegionObject.getSpatialQuantity(QuantityCategory.VolumeSize, QuantityComponent.Scalar);
                String funcName = MathFunctionDefinitions.Function_regionVolume_current.getFunctionName();
                Expression sizeExp = Expression.function(funcName, new Expression[] { new Expression("'" + subvolume.getName() + "'") });
                varHash.addVariable(newFunctionOrConstant(getMathSymbol(sizeQuantity, subvolume), getIdentifierSubstitutions(sizeExp, sizeQuantity.getUnitDefinition(), subvolume), subvolume));
            }
            if (bCentroid) {
                throw new MappingException(QuantityCategory.Centroid.description + " not yet implemented in math generation");
            }
        }
    }
}
Also used : GeometryClass(cbit.vcell.geometry.GeometryClass) PointLocation(cbit.vcell.mapping.spatial.processes.PointLocation) SurfaceClass(cbit.vcell.geometry.SurfaceClass) VolumeKinematics(cbit.vcell.mapping.spatial.processes.VolumeKinematics) ArrayList(java.util.ArrayList) PointSubDomain(cbit.vcell.math.PointSubDomain) SpatialObject(cbit.vcell.mapping.spatial.SpatialObject) PointObject(cbit.vcell.mapping.spatial.PointObject) SpatialProcess(cbit.vcell.mapping.spatial.processes.SpatialProcess) SubVolume(cbit.vcell.geometry.SubVolume) ComputeMembraneMetricEquation(cbit.vcell.math.ComputeMembraneMetricEquation) SpatialQuantity(cbit.vcell.mapping.spatial.SpatialObject.SpatialQuantity) VolumeRegionObject(cbit.vcell.mapping.spatial.VolumeRegionObject) VolVariable(cbit.vcell.math.VolVariable) SurfaceKinematics(cbit.vcell.mapping.spatial.processes.SurfaceKinematics) LocalParameter(cbit.vcell.mapping.ParameterContext.LocalParameter) OdeEquation(cbit.vcell.math.OdeEquation) Expression(cbit.vcell.parser.Expression) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) PointKinematics(cbit.vcell.mapping.spatial.processes.PointKinematics) PointVariable(cbit.vcell.math.PointVariable) CompartmentSubDomain(cbit.vcell.math.CompartmentSubDomain) SubDomain(cbit.vcell.math.SubDomain) PointSubDomain(cbit.vcell.math.PointSubDomain) Domain(cbit.vcell.math.Variable.Domain) MembraneSubDomain(cbit.vcell.math.MembraneSubDomain) SurfaceRegionObject(cbit.vcell.mapping.spatial.SurfaceRegionObject)

Aggregations

VolVariable (cbit.vcell.math.VolVariable)47 Variable (cbit.vcell.math.Variable)30 Expression (cbit.vcell.parser.Expression)27 MemVariable (cbit.vcell.math.MemVariable)24 MembraneRegionVariable (cbit.vcell.math.MembraneRegionVariable)19 VolumeRegionVariable (cbit.vcell.math.VolumeRegionVariable)17 CompartmentSubDomain (cbit.vcell.math.CompartmentSubDomain)16 ReservedVariable (cbit.vcell.math.ReservedVariable)16 Constant (cbit.vcell.math.Constant)15 Vector (java.util.Vector)14 FilamentVariable (cbit.vcell.math.FilamentVariable)13 Function (cbit.vcell.math.Function)13 MembraneSubDomain (cbit.vcell.math.MembraneSubDomain)13 MathDescription (cbit.vcell.math.MathDescription)12 MathException (cbit.vcell.math.MathException)11 SubDomain (cbit.vcell.math.SubDomain)11 Equation (cbit.vcell.math.Equation)10 FilamentRegionVariable (cbit.vcell.math.FilamentRegionVariable)10 OdeEquation (cbit.vcell.math.OdeEquation)10 Domain (cbit.vcell.math.Variable.Domain)10