use of cbit.vcell.math.Variable in project vcell by virtualcell.
the class StochMathMapping method refreshMathDescription.
/**
* set up a math description based on current simulationContext.
*/
@Override
protected void refreshMathDescription() throws MappingException, MatrixException, MathException, ExpressionException, ModelException {
// use local variable instead of using getter all the time.
SimulationContext simContext = getSimulationContext();
GeometryClass geometryClass = simContext.getGeometry().getGeometrySpec().getSubVolumes()[0];
Domain domain = new Domain(geometryClass);
// local structure mapping list
StructureMapping[] structureMappings = simContext.getGeometryContext().getStructureMappings();
// We have to check if all the reactions are able to tranform to stochastic jump processes before generating the math.
String stochChkMsg = simContext.getModel().isValidForStochApp();
if (!(stochChkMsg.equals(""))) {
throw new ModelException("Problem updating math description: " + simContext.getName() + "\n" + stochChkMsg);
}
simContext.checkValidity();
//
if (simContext.getGeometry().getDimension() > 0) {
throw new MappingException("nonspatial stochastic math mapping requires 0-dimensional geometry");
}
//
for (int i = 0; i < structureMappings.length; i++) {
if (structureMappings[i] instanceof MembraneMapping) {
if (((MembraneMapping) structureMappings[i]).getCalculateVoltage()) {
throw new MappingException("electric potential not yet supported for particle models");
}
}
}
//
// fail if any events
//
BioEvent[] bioEvents = simContext.getBioEvents();
if (bioEvents != null && bioEvents.length > 0) {
throw new MappingException("events not yet supported for particle-based models");
}
//
// 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 instanceof FeatureMapping && ((FeatureMapping) sm).getGeometryClass() == null)) {
throw new MappingException("model structure '" + structures[i].getName() + "' not mapped to a geometry subVolume");
}
if (sm != null && (sm instanceof MembraneMapping) && ((MembraneMapping) sm).getVolumeFractionParameter() != null) {
Expression volFractExp = ((MembraneMapping) sm).getVolumeFractionParameter().getExpression();
try {
if (volFractExp != null) {
double volFract = volFractExp.evaluateConstant();
if (volFract >= 1.0) {
throw new MappingException("model structure '" + (getSimulationContext().getModel().getStructureTopology().getInsideFeature(((MembraneMapping) sm).getMembrane()).getName() + "' has volume fraction >= 1.0"));
}
}
} catch (ExpressionException e) {
e.printStackTrace(System.out);
}
}
}
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) {
throw new MappingException("geometry subVolume '" + subVolumes[i].getName() + "' not mapped from a model structure");
}
}
//
// 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()) {
rsList.add(reactionSpecs[i].getReactionStep());
}
}
//
for (ReactionStep reactionStep : rsList) {
Kinetics.UnresolvedParameter[] unresolvedParameters = reactionStep.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() + "', " + reactionStep.getDisplayType() + " '" + reactionStep.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");
}
//
// temporarily place all variables in a hashtable (before binding) and discarding duplicates
//
VariableHash varHash = new VariableHash();
//
// conversion factors
//
Model model = simContext.getModel();
varHash.addVariable(new Constant(getMathSymbol(model.getKMOLE(), null), getIdentifierSubstitutions(model.getKMOLE().getExpression(), model.getKMOLE().getUnitDefinition(), null)));
varHash.addVariable(new Constant(getMathSymbol(model.getN_PMOLE(), null), getIdentifierSubstitutions(model.getN_PMOLE().getExpression(), model.getN_PMOLE().getUnitDefinition(), null)));
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)));
Enumeration<SpeciesContextMapping> enum1 = getSpeciesContextMappings();
while (enum1.hasMoreElements()) {
SpeciesContextMapping scm = enum1.nextElement();
if (scm.getVariable() instanceof StochVolVariable) {
varHash.addVariable(scm.getVariable());
}
}
// deals with model parameters
ModelParameter[] modelParameters = simContext.getModel().getModelParameters();
for (int j = 0; j < modelParameters.length; j++) {
Expression expr = getSubstitutedExpr(modelParameters[j].getExpression(), true, false);
expr = getIdentifierSubstitutions(expr, modelParameters[j].getUnitDefinition(), geometryClass);
varHash.addVariable(newFunctionOrConstant(getMathSymbol(modelParameters[j], geometryClass), expr, geometryClass));
}
// added July 2009, ElectricalStimulusParameter electric mapping tab
ElectricalStimulus[] elecStimulus = simContext.getElectricalStimuli();
if (elecStimulus.length > 0) {
throw new MappingException("Modles with electrophysiology are not supported for stochastic applications.");
}
for (int j = 0; j < structureMappings.length; j++) {
if (structureMappings[j] instanceof MembraneMapping) {
MembraneMapping memMapping = (MembraneMapping) structureMappings[j];
Parameter initialVoltageParm = memMapping.getInitialVoltageParameter();
try {
Expression exp = initialVoltageParm.getExpression();
exp.evaluateConstant();
varHash.addVariable(newFunctionOrConstant(getMathSymbol(memMapping.getMembrane().getMembraneVoltage(), memMapping.getGeometryClass()), getIdentifierSubstitutions(memMapping.getInitialVoltageParameter().getExpression(), memMapping.getInitialVoltageParameter().getUnitDefinition(), memMapping.getGeometryClass()), memMapping.getGeometryClass()));
} catch (ExpressionException e) {
e.printStackTrace(System.out);
throw new MappingException("Membrane initial voltage: " + initialVoltageParm.getName() + " cannot be evaluated as constant.");
}
}
}
//
for (ReactionStep rs : rsList) {
if (rs.getKinetics() instanceof LumpedKinetics) {
throw new RuntimeException("Lumped Kinetics not yet supported for Stochastic Math Generation");
}
Kinetics.KineticsParameter[] parameters = rs.getKinetics().getKineticsParameters();
for (KineticsParameter parameter : parameters) {
//
if ((parameter.getRole() == Kinetics.ROLE_CurrentDensity) && (parameter.getExpression() == null || parameter.getExpression().isZero())) {
continue;
}
//
// don't add rate, we'll do it later when creating the jump processes
//
// if (parameter.getRole() == Kinetics.ROLE_ReactionRate) {
// continue;
// }
//
// don't add mass action reverse parameter if irreversible
//
// if (!rs.isReversible() && parameters[i].getRole() == Kinetics.ROLE_KReverse){
// continue;
// }
Expression expr = getSubstitutedExpr(parameter.getExpression(), true, false);
varHash.addVariable(newFunctionOrConstant(getMathSymbol(parameter, geometryClass), getIdentifierSubstitutions(expr, parameter.getUnitDefinition(), geometryClass), geometryClass));
}
}
// the parameter "Size" is already put into mathsymbolmapping in refreshSpeciesContextMapping()
for (int i = 0; i < structureMappings.length; i++) {
StructureMapping sm = structureMappings[i];
StructureMapping.StructureMappingParameter parm = sm.getParameterFromRole(StructureMapping.ROLE_Size);
if (parm.getExpression() != null) {
try {
double value = parm.getExpression().evaluateConstant();
varHash.addVariable(new Constant(getMathSymbol(parm, sm.getGeometryClass()), new Expression(value)));
} catch (ExpressionException e) {
// varHash.addVariable(new Function(getMathSymbol0(parm,sm),getIdentifierSubstitutions(parm.getExpression(),parm.getUnitDefinition(),sm)));
e.printStackTrace(System.out);
throw new MappingException("Size of structure:" + sm.getNameScope().getName() + " cannot be evaluated as constant.");
}
}
}
SpeciesContextSpec[] speciesContextSpecs = getSimulationContext().getReactionContext().getSpeciesContextSpecs();
addInitialConditions(domain, speciesContextSpecs, varHash);
//
// 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());
}
}
//
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 in Application " + simContext.getName());
}
//
// create subDomains
//
SubVolume subVolume = simContext.getGeometry().getGeometrySpec().getSubVolumes()[0];
SubDomain subDomain = new CompartmentSubDomain(subVolume.getName(), 0);
mathDesc.addSubDomain(subDomain);
//
// functions: species which is not a variable, but has dependency expression
//
enum1 = getSpeciesContextMappings();
while (enum1.hasMoreElements()) {
SpeciesContextMapping scm = (SpeciesContextMapping) enum1.nextElement();
if (scm.getVariable() == null && scm.getDependencyExpression() != null) {
StructureMapping sm = simContext.getGeometryContext().getStructureMapping(scm.getSpeciesContext().getStructure());
Expression exp = scm.getDependencyExpression();
exp.bindExpression(this);
SpeciesCountParameter spCountParam = getSpeciesCountParameter(scm.getSpeciesContext());
varHash.addVariable(new Function(getMathSymbol(spCountParam, sm.getGeometryClass()), getIdentifierSubstitutions(exp, spCountParam.getUnitDefinition(), sm.getGeometryClass()), domain));
}
}
addJumpProcesses(varHash, geometryClass, subDomain);
//
for (int i = 0; i < fieldMathMappingParameters.length; i++) {
if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
varHash.addVariable(newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass), fieldMathMappingParameters[i].getGeometryClass()));
}
}
//
// set Variables to MathDescription all at once with the order resolved by "VariableHash"
//
mathDesc.setAllVariables(varHash.getAlphabeticallyOrderedVariables());
//
// set up variable initial conditions in subDomain
//
SpeciesContextSpec[] scSpecs = simContext.getReactionContext().getSpeciesContextSpecs();
for (int i = 0; i < speciesContextSpecs.length; i++) {
// get stochastic variable by name
SpeciesCountParameter spCountParam = getSpeciesCountParameter(speciesContextSpecs[i].getSpeciesContext());
StructureMapping sm = simContext.getGeometryContext().getStructureMapping(speciesContextSpecs[i].getSpeciesContext().getStructure());
String varName = getMathSymbol(spCountParam, sm.getGeometryClass());
StochVolVariable var = (StochVolVariable) mathDesc.getVariable(varName);
// stochastic use initial number of particles
SpeciesContextSpec.SpeciesContextSpecParameter initParm = scSpecs[i].getInitialCountParameter();
// stochastic variables initial expression.
if (initParm != null) {
VarIniCondition varIni = null;
if (!scSpecs[i].isConstant() && getSimulationContext().isRandomizeInitCondition()) {
varIni = new VarIniPoissonExpectedCount(var, new Expression(getMathSymbol(initParm, sm.getGeometryClass())));
} else {
varIni = new VarIniCount(var, new Expression(getMathSymbol(initParm, sm.getGeometryClass())));
}
subDomain.addVarIniCondition(varIni);
}
}
//
for (int i = 0; i < fieldMathMappingParameters.length; i++) {
if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
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 (fieldMathMappingParameters[i] instanceof ObservableCountParameter) {
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()) {
lg.error(mathDesc.getVCML_database());
throw new MappingException("generated an invalid mathDescription: " + mathDesc.getWarning());
}
}
use of cbit.vcell.math.Variable in project vcell by virtualcell.
the class StochMathMapping method addJumpProcesses.
private void addJumpProcesses(VariableHash varHash, GeometryClass geometryClass, SubDomain subDomain) throws ExpressionException, ModelException, MappingException, MathException {
// set up jump processes
// get all the reactions from simulation context
// ReactionSpec[] reactionSpecs = simContext.getReactionContext().getReactionSpecs();---need to take a look here!
ModelUnitSystem modelUnitSystem = getSimulationContext().getModel().getUnitSystem();
ReactionSpec[] reactionSpecs = getSimulationContext().getReactionContext().getReactionSpecs();
for (ReactionSpec reactionSpec : reactionSpecs) {
if (reactionSpec.isExcluded()) {
continue;
}
// get the reaction
ReactionStep reactionStep = reactionSpec.getReactionStep();
Kinetics kinetics = reactionStep.getKinetics();
// probability parameter from modelUnitSystem
VCUnitDefinition probabilityParamUnit = modelUnitSystem.getStochasticSubstanceUnit().divideBy(modelUnitSystem.getTimeUnit());
// Different ways to deal with simple reactions and flux reactions
if (// simple reactions
reactionStep instanceof SimpleReaction) {
// check the reaction rate law to see if we need to decompose a reaction(reversible) into two jump processes.
// rate constants are important in calculating the probability rate.
// for Mass Action, we use KForward and KReverse,
// for General Kinetics we parse reaction rate J to see if it is in Mass Action form.
Expression forwardRate = null;
Expression reverseRate = null;
if (kinetics.getKineticsDescription().equals(KineticsDescription.MassAction) || kinetics.getKineticsDescription().equals(KineticsDescription.General)) {
Expression rateExp = new Expression(kinetics.getKineticsParameterFromRole(Kinetics.ROLE_ReactionRate), reactionStep.getNameScope());
Parameter forwardRateParameter = null;
Parameter reverseRateParameter = null;
if (kinetics.getKineticsDescription().equals(KineticsDescription.MassAction)) {
forwardRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_KForward);
reverseRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_KReverse);
}
MassActionSolver.MassActionFunction maFunc = MassActionSolver.solveMassAction(forwardRateParameter, reverseRateParameter, rateExp, reactionStep);
if (maFunc.getForwardRate() == null && maFunc.getReverseRate() == null) {
throw new MappingException("Cannot generate stochastic math mapping for the reaction:" + reactionStep.getName() + "\nLooking for the rate function according to the form of k1*Reactant1^Stoir1*Reactant2^Stoir2...-k2*Product1^Stoip1*Product2^Stoip2.");
} else {
if (maFunc.getForwardRate() != null) {
forwardRate = maFunc.getForwardRate();
}
if (maFunc.getReverseRate() != null) {
reverseRate = maFunc.getReverseRate();
}
}
} else // if it's macro/microscopic kinetics, we'll have them set up as reactions with only forward rate.
if (kinetics.getKineticsDescription().equals(KineticsDescription.Macroscopic_irreversible) || kinetics.getKineticsDescription().equals(KineticsDescription.Microscopic_irreversible)) {
Expression Kon = getIdentifierSubstitutions(new Expression(reactionStep.getKinetics().getKineticsParameterFromRole(Kinetics.ROLE_KOn), getNameScope()), reactionStep.getKinetics().getKineticsParameterFromRole(Kinetics.ROLE_Binding_Radius).getUnitDefinition(), geometryClass);
if (Kon != null) {
Expression KonCopy = new Expression(Kon);
try {
MassActionSolver.substituteParameters(KonCopy, true).evaluateConstant();
forwardRate = new Expression(Kon);
} catch (ExpressionException e) {
throw new MathException(VCellErrorMessages.getMassActionSolverMessage(reactionStep.getName(), "Problem with Kon parameter in " + reactionStep.getName() + ": '" + KonCopy.infix() + "', " + e.getMessage()));
}
} else {
throw new MathException(VCellErrorMessages.getMassActionSolverMessage(reactionStep.getName(), "Kon parameter of " + reactionStep.getName() + " is null."));
}
}
boolean isForwardRatePresent = false;
boolean isReverseRatePresent = false;
if (forwardRate != null) {
isForwardRatePresent = true;
}
if (reverseRate != null) {
isReverseRatePresent = true;
}
// we process it as forward reaction
if ((isForwardRatePresent)) /*|| ((forwardRate == null) && (reverseRate == null))*/
{
// get jump process name
String jpName = TokenMangler.mangleToSName(reactionStep.getName());
// get probability
Expression exp = null;
// reactions are of mass action form
exp = getProbabilityRate(reactionStep, forwardRate, true);
ProbabilityParameter probParm = null;
try {
probParm = addProbabilityParameter(PARAMETER_PROBABILITYRATE_PREFIX + jpName, exp, PARAMETER_ROLE_P, probabilityParamUnit, reactionStep);
} catch (PropertyVetoException pve) {
pve.printStackTrace();
throw new MappingException(pve.getMessage());
}
// add probability to function or constant
varHash.addVariable(newFunctionOrConstant(getMathSymbol(probParm, geometryClass), getIdentifierSubstitutions(exp, probabilityParamUnit, geometryClass), geometryClass));
JumpProcess jp = new JumpProcess(jpName, new Expression(getMathSymbol(probParm, geometryClass)));
// actions
ReactionParticipant[] reacPart = reactionStep.getReactionParticipants();
for (int j = 0; j < reacPart.length; j++) {
Action action = null;
SpeciesCountParameter spCountParam = getSpeciesCountParameter(reacPart[j].getSpeciesContext());
if (reacPart[j] instanceof Reactant) {
// check if the reactant is a constant. If the species is a constant, there will be no action taken on this species
if (// not a constant
!simContext.getReactionContext().getSpeciesContextSpec(reacPart[j].getSpeciesContext()).isConstant()) {
int stoi = ((Reactant) reacPart[j]).getStoichiometry();
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(-stoi));
jp.addAction(action);
}
} else if (reacPart[j] instanceof Product) {
// check if the product is a constant. If the product is a constant, there will be no action taken on this species
if (// not a constant
!simContext.getReactionContext().getSpeciesContextSpec(reacPart[j].getSpeciesContext()).isConstant()) {
int stoi = ((Product) reacPart[j]).getStoichiometry();
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(stoi));
jp.addAction(action);
}
}
}
// add jump process to compartment subDomain
subDomain.addJumpProcess(jp);
}
if (// one more jump process for a reversible reaction
isReverseRatePresent) {
// get jump process name
String jpName = TokenMangler.mangleToSName(reactionStep.getName()) + PARAMETER_PROBABILITY_RATE_REVERSE_SUFFIX;
Expression exp = null;
// reactions are mass actions
exp = getProbabilityRate(reactionStep, reverseRate, false);
ProbabilityParameter probRevParm = null;
try {
probRevParm = addProbabilityParameter(PARAMETER_PROBABILITYRATE_PREFIX + jpName, exp, PARAMETER_ROLE_P_reverse, probabilityParamUnit, reactionStep);
} catch (PropertyVetoException pve) {
pve.printStackTrace();
throw new MappingException(pve.getMessage());
}
// add probability to function or constant
varHash.addVariable(newFunctionOrConstant(getMathSymbol(probRevParm, geometryClass), getIdentifierSubstitutions(exp, probabilityParamUnit, geometryClass), geometryClass));
JumpProcess jp = new JumpProcess(jpName, new Expression(getMathSymbol(probRevParm, geometryClass)));
// actions
ReactionParticipant[] reacPart = reactionStep.getReactionParticipants();
for (int j = 0; j < reacPart.length; j++) {
Action action = null;
SpeciesCountParameter spCountParam = getSpeciesCountParameter(reacPart[j].getSpeciesContext());
if (reacPart[j] instanceof Reactant) {
// check if the reactant is a constant. If the species is a constant, there will be no action taken on this species
if (// not a constant
!simContext.getReactionContext().getSpeciesContextSpec(reacPart[j].getSpeciesContext()).isConstant()) {
int stoi = ((Reactant) reacPart[j]).getStoichiometry();
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(stoi));
jp.addAction(action);
}
} else if (reacPart[j] instanceof Product) {
// check if the product is a constant. If the product is a constant, there will be no action taken on this species
if (// not a constant
!simContext.getReactionContext().getSpeciesContextSpec(reacPart[j].getSpeciesContext()).isConstant()) {
int stoi = ((Product) reacPart[j]).getStoichiometry();
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(-stoi));
jp.addAction(action);
}
}
}
// add jump process to compartment subDomain
subDomain.addJumpProcess(jp);
}
// end of if(isForwardRateNonZero), if(isReverseRateNonRate)
} else if (// flux reactions
reactionStep instanceof FluxReaction) {
// we could set jump processes for general flux rate in forms of p1*Sout + p2*Sin
if (kinetics.getKineticsDescription().equals(KineticsDescription.General) || kinetics.getKineticsDescription().equals(KineticsDescription.GeneralPermeability)) {
Expression fluxRate = new Expression(kinetics.getKineticsParameterFromRole(Kinetics.ROLE_ReactionRate), reactionStep.getNameScope());
// we have to pass the math description para to flux solver, coz somehow math description in simulation context is not updated.
// forward and reverse rate parameters may be null
Parameter forwardRateParameter = null;
Parameter reverseRateParameter = null;
if (kinetics.getKineticsDescription().equals(KineticsDescription.GeneralPermeability)) {
forwardRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_Permeability);
reverseRateParameter = kinetics.getKineticsParameterFromRole(Kinetics.ROLE_Permeability);
}
MassActionSolver.MassActionFunction fluxFunc = MassActionSolver.solveMassAction(forwardRateParameter, reverseRateParameter, fluxRate, (FluxReaction) reactionStep);
// create jump process for forward flux if it exists.
Expression rsStructureSize = new Expression(reactionStep.getStructure().getStructureSize(), getNameScope());
VCUnitDefinition probRateUnit = modelUnitSystem.getStochasticSubstanceUnit().divideBy(modelUnitSystem.getAreaUnit()).divideBy(modelUnitSystem.getTimeUnit());
Expression rsRateUnitFactor = getUnitFactor(probRateUnit.divideBy(modelUnitSystem.getFluxReactionUnit()));
if (fluxFunc.getForwardRate() != null && !fluxFunc.getForwardRate().isZero()) {
Expression rate = fluxFunc.getForwardRate();
// get species expression (depend on structure, if mem: Species/mem_Size, if vol: species*KMOLE/vol_size)
if (fluxFunc.getReactants().size() != 1) {
throw new MappingException("Flux " + reactionStep.getName() + " should have only one reactant.");
}
SpeciesContext scReactant = fluxFunc.getReactants().get(0).getSpeciesContext();
Expression scConcExpr = new Expression(getSpeciesConcentrationParameter(scReactant), getNameScope());
Expression probExp = Expression.mult(rate, rsRateUnitFactor, rsStructureSize, scConcExpr);
// jump process name
// +"_reverse";
String jpName = TokenMangler.mangleToSName(reactionStep.getName());
ProbabilityParameter probParm = null;
try {
probParm = addProbabilityParameter(PARAMETER_PROBABILITYRATE_PREFIX + jpName, probExp, PARAMETER_ROLE_P, probabilityParamUnit, reactionStep);
} catch (PropertyVetoException pve) {
pve.printStackTrace();
throw new MappingException(pve.getMessage());
}
// add probability to function or constant
String ms = getMathSymbol(probParm, geometryClass);
Expression is = getIdentifierSubstitutions(probExp, probabilityParamUnit, geometryClass);
Variable nfoc = newFunctionOrConstant(ms, is, geometryClass);
varHash.addVariable(nfoc);
JumpProcess jp = new JumpProcess(jpName, new Expression(getMathSymbol(probParm, geometryClass)));
// actions
Action action = null;
SpeciesContext sc = fluxFunc.getReactants().get(0).getSpeciesContext();
if (!simContext.getReactionContext().getSpeciesContextSpec(sc).isConstant()) {
SpeciesCountParameter spCountParam = getSpeciesCountParameter(sc);
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(-1));
jp.addAction(action);
}
sc = fluxFunc.getProducts().get(0).getSpeciesContext();
if (!simContext.getReactionContext().getSpeciesContextSpec(sc).isConstant()) {
SpeciesCountParameter spCountParam = getSpeciesCountParameter(sc);
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(1));
jp.addAction(action);
}
subDomain.addJumpProcess(jp);
}
// create jump process for reverse flux if it exists.
if (fluxFunc.getReverseRate() != null && !fluxFunc.getReverseRate().isZero()) {
// jump process name
String jpName = TokenMangler.mangleToSName(reactionStep.getName()) + PARAMETER_PROBABILITY_RATE_REVERSE_SUFFIX;
Expression rate = fluxFunc.getReverseRate();
// get species expression (depend on structure, if mem: Species/mem_Size, if vol: species*KMOLE/vol_size)
if (fluxFunc.getProducts().size() != 1) {
throw new MappingException("Flux " + reactionStep.getName() + " should have only one product.");
}
SpeciesContext scProduct = fluxFunc.getProducts().get(0).getSpeciesContext();
Expression scConcExpr = new Expression(getSpeciesConcentrationParameter(scProduct), getNameScope());
Expression probExp = Expression.mult(rate, rsRateUnitFactor, rsStructureSize, scConcExpr);
ProbabilityParameter probRevParm = null;
try {
probRevParm = addProbabilityParameter(PARAMETER_PROBABILITYRATE_PREFIX + jpName, probExp, PARAMETER_ROLE_P_reverse, probabilityParamUnit, reactionStep);
} catch (PropertyVetoException pve) {
pve.printStackTrace();
throw new MappingException(pve.getMessage());
}
// add probability to function or constant
varHash.addVariable(newFunctionOrConstant(getMathSymbol(probRevParm, geometryClass), getIdentifierSubstitutions(probExp, probabilityParamUnit, geometryClass), geometryClass));
JumpProcess jp = new JumpProcess(jpName, new Expression(getMathSymbol(probRevParm, geometryClass)));
// actions
Action action = null;
SpeciesContext sc = fluxFunc.getReactants().get(0).getSpeciesContext();
if (!simContext.getReactionContext().getSpeciesContextSpec(sc).isConstant()) {
SpeciesCountParameter spCountParam = getSpeciesCountParameter(sc);
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(1));
jp.addAction(action);
}
sc = fluxFunc.getProducts().get(0).getSpeciesContext();
if (!simContext.getReactionContext().getSpeciesContextSpec(sc).isConstant()) {
SpeciesCountParameter spCountParam = getSpeciesCountParameter(sc);
action = Action.createIncrementAction(varHash.getVariable(getMathSymbol(spCountParam, geometryClass)), new Expression(-1));
jp.addAction(action);
}
subDomain.addJumpProcess(jp);
}
}
}
// end of if (simplereaction)...else if(fluxreaction)
}
// end of reaction step loop
}
use of cbit.vcell.math.Variable in project vcell by virtualcell.
the class RulebasedMathMapping method refreshMathDescription.
/**
* This method was created in VisualAge.
*/
@Override
protected void refreshMathDescription() throws MappingException, MatrixException, MathException, ExpressionException, ModelException {
// use local variable instead of using getter all the time.
SimulationContext simContext = getSimulationContext();
GeometryClass geometryClass = simContext.getGeometry().getGeometrySpec().getSubVolumes()[0];
Domain domain = new Domain(geometryClass);
// local structure mapping list
StructureMapping[] structureMappings = simContext.getGeometryContext().getStructureMappings();
// We have to check if all the reactions are able to transform to stochastic jump processes before generating the math.
String stochChkMsg = simContext.getModel().isValidForStochApp();
if (!(stochChkMsg.equals(""))) {
throw new ModelException("Problem updating math description: " + simContext.getName() + "\n" + stochChkMsg);
}
simContext.checkValidity();
//
if (simContext.getGeometry().getDimension() > 0) {
throw new MappingException("rule-based particle math mapping not implemented for spatial geometry - dimension >= 1");
}
//
for (int i = 0; i < structureMappings.length; i++) {
if (structureMappings[i] instanceof MembraneMapping) {
if (((MembraneMapping) structureMappings[i]).getCalculateVoltage()) {
throw new MappingException("electric potential not yet supported for particle models");
}
}
}
//
// fail if any events
//
BioEvent[] bioEvents = simContext.getBioEvents();
if (bioEvents != null && bioEvents.length > 0) {
throw new MappingException("events not yet supported for particle-based models");
}
//
// 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 instanceof FeatureMapping && ((FeatureMapping) sm).getGeometryClass() == null)) {
throw new MappingException("model structure '" + structures[i].getName() + "' not mapped to a geometry subVolume");
}
if (sm != null && (sm instanceof MembraneMapping) && ((MembraneMapping) sm).getVolumeFractionParameter() != null) {
Expression volFractExp = ((MembraneMapping) sm).getVolumeFractionParameter().getExpression();
try {
if (volFractExp != null) {
double volFract = volFractExp.evaluateConstant();
if (volFract >= 1.0) {
throw new MappingException("model structure '" + (getSimulationContext().getModel().getStructureTopology().getInsideFeature(((MembraneMapping) sm).getMembrane()).getName() + "' has volume fraction >= 1.0"));
}
}
} catch (ExpressionException e) {
e.printStackTrace(System.out);
}
}
}
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) {
throw new MappingException("geometry subVolume '" + subVolumes[i].getName() + "' not mapped from a model structure");
}
}
//
// gather only those reactionRules that are not "excluded"
//
ArrayList<ReactionRule> rrList = new ArrayList<ReactionRule>();
for (ReactionRuleSpec reactionRuleSpec : simContext.getReactionContext().getReactionRuleSpecs()) {
if (!reactionRuleSpec.isExcluded()) {
rrList.add(reactionRuleSpec.getReactionRule());
}
}
//
for (ReactionRule reactionRule : rrList) {
UnresolvedParameter[] unresolvedParameters = reactionRule.getKineticLaw().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() + "', " + reactionRule.getDisplayType() + " '" + reactionRule.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");
}
//
// temporarily place all variables in a hashtable (before binding) and discarding duplicates
//
VariableHash varHash = new VariableHash();
//
// conversion factors
//
Model model = simContext.getModel();
varHash.addVariable(new Constant(getMathSymbol(model.getKMOLE(), null), getIdentifierSubstitutions(model.getKMOLE().getExpression(), model.getKMOLE().getUnitDefinition(), null)));
varHash.addVariable(new Constant(getMathSymbol(model.getN_PMOLE(), null), getIdentifierSubstitutions(model.getN_PMOLE().getExpression(), model.getN_PMOLE().getUnitDefinition(), null)));
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)));
Enumeration<SpeciesContextMapping> enum1 = getSpeciesContextMappings();
while (enum1.hasMoreElements()) {
SpeciesContextMapping scm = enum1.nextElement();
if (scm.getVariable() instanceof StochVolVariable) {
varHash.addVariable(scm.getVariable());
}
}
// deals with model parameters
ModelParameter[] modelParameters = simContext.getModel().getModelParameters();
for (int j = 0; j < modelParameters.length; j++) {
Expression expr = getSubstitutedExpr(modelParameters[j].getExpression(), true, false);
expr = getIdentifierSubstitutions(expr, modelParameters[j].getUnitDefinition(), geometryClass);
varHash.addVariable(newFunctionOrConstant(getMathSymbol(modelParameters[j], geometryClass), expr, geometryClass));
}
// added July 2009, ElectricalStimulusParameter electric mapping tab
ElectricalStimulus[] elecStimulus = simContext.getElectricalStimuli();
if (elecStimulus.length > 0) {
throw new MappingException("Modles with electrophysiology are not supported for stochastic applications.");
}
for (int j = 0; j < structureMappings.length; j++) {
if (structureMappings[j] instanceof MembraneMapping) {
MembraneMapping memMapping = (MembraneMapping) structureMappings[j];
Parameter initialVoltageParm = memMapping.getInitialVoltageParameter();
try {
Expression exp = initialVoltageParm.getExpression();
exp.evaluateConstant();
varHash.addVariable(newFunctionOrConstant(getMathSymbol(memMapping.getMembrane().getMembraneVoltage(), memMapping.getGeometryClass()), getIdentifierSubstitutions(memMapping.getInitialVoltageParameter().getExpression(), memMapping.getInitialVoltageParameter().getUnitDefinition(), memMapping.getGeometryClass()), memMapping.getGeometryClass()));
} catch (ExpressionException e) {
e.printStackTrace(System.out);
throw new MappingException("Membrane initial voltage: " + initialVoltageParm.getName() + " cannot be evaluated as constant.");
}
}
}
//
for (ReactionRule reactionRule : rrList) {
// if (reactionRule.getKineticLaw() instanceof LumpedKinetics){
// throw new RuntimeException("Lumped Kinetics not yet supported for RuleBased Modeling");
// }
LocalParameter[] parameters = reactionRule.getKineticLaw().getLocalParameters();
for (LocalParameter parameter : parameters) {
//
if ((parameter.getRole() == RbmKineticLawParameterType.RuleRate)) {
continue;
}
//
if (!reactionRule.isReversible() && parameter.getRole() == RbmKineticLawParameterType.MassActionReverseRate) {
continue;
}
Expression expr = getSubstitutedExpr(parameter.getExpression(), true, false);
varHash.addVariable(newFunctionOrConstant(getMathSymbol(parameter, geometryClass), getIdentifierSubstitutions(expr, parameter.getUnitDefinition(), geometryClass), geometryClass));
}
}
// the parameter "Size" is already put into mathsymbolmapping in refreshSpeciesContextMapping()
for (int i = 0; i < structureMappings.length; i++) {
StructureMapping sm = structureMappings[i];
StructureMapping.StructureMappingParameter parm = sm.getParameterFromRole(StructureMapping.ROLE_Size);
if (parm.getExpression() != null) {
try {
double value = parm.getExpression().evaluateConstant();
varHash.addVariable(new Constant(getMathSymbol(parm, sm.getGeometryClass()), new Expression(value)));
} catch (ExpressionException e) {
// varHash.addVariable(new Function(getMathSymbol0(parm,sm),getIdentifierSubstitutions(parm.getExpression(),parm.getUnitDefinition(),sm)));
e.printStackTrace(System.out);
throw new MappingException("Size of structure:" + sm.getNameScope().getName() + " cannot be evaluated as constant.");
}
}
}
SpeciesContextSpec[] speciesContextSpecs = getSimulationContext().getReactionContext().getSpeciesContextSpecs();
addInitialConditions(domain, speciesContextSpecs, varHash);
//
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 in Application " + simContext.getName());
}
//
// create subDomains
//
SubVolume subVolume = simContext.getGeometry().getGeometrySpec().getSubVolumes()[0];
SubDomain subDomain = new CompartmentSubDomain(subVolume.getName(), 0);
mathDesc.addSubDomain(subDomain);
//
// define all molecules and unique species patterns (add molecules to mathDesc and speciesPatterns to varHash).
//
HashMap<SpeciesPattern, VolumeParticleSpeciesPattern> speciesPatternMap = addSpeciesPatterns(domain, rrList);
HashSet<VolumeParticleSpeciesPattern> uniqueParticleSpeciesPatterns = new HashSet<>(speciesPatternMap.values());
for (VolumeParticleSpeciesPattern volumeParticleSpeciesPattern : uniqueParticleSpeciesPatterns) {
varHash.addVariable(volumeParticleSpeciesPattern);
}
//
// define observables (those explicitly declared and those corresponding to seed species.
//
List<ParticleObservable> observables = addObservables(geometryClass, domain, speciesPatternMap);
for (ParticleObservable particleObservable : observables) {
varHash.addVariable(particleObservable);
}
try {
addParticleJumpProcesses(varHash, geometryClass, subDomain, speciesPatternMap);
} catch (PropertyVetoException e1) {
e1.printStackTrace();
throw new MappingException(e1.getMessage(), e1);
}
//
for (int i = 0; i < fieldMathMappingParameters.length; i++) {
if (fieldMathMappingParameters[i] instanceof UnitFactorParameter || fieldMathMappingParameters[i] instanceof ObservableConcentrationParameter) {
varHash.addVariable(newFunctionOrConstant(getMathSymbol(fieldMathMappingParameters[i], geometryClass), getIdentifierSubstitutions(fieldMathMappingParameters[i].getExpression(), fieldMathMappingParameters[i].getUnitDefinition(), geometryClass), fieldMathMappingParameters[i].getGeometryClass()));
}
}
//
// set Variables to MathDescription all at once with the order resolved by "VariableHash"
//
mathDesc.setAllVariables(varHash.getAlphabeticallyOrderedVariables());
//
for (SpeciesContext sc : model.getSpeciesContexts()) {
if (!sc.hasSpeciesPattern()) {
throw new MappingException("species " + sc.getName() + " has no molecular pattern");
}
VolumeParticleSpeciesPattern volumeParticleSpeciesPattern = speciesPatternMap.get(sc.getSpeciesPattern());
ArrayList<ParticleInitialCondition> particleInitialConditions = new ArrayList<ParticleProperties.ParticleInitialCondition>();
// initial conditions from scs
SpeciesContextSpec scs = simContext.getReactionContext().getSpeciesContextSpec(sc);
Parameter initialCountParameter = scs.getInitialCountParameter();
Expression e = getIdentifierSubstitutions(new Expression(initialCountParameter, getNameScope()), initialCountParameter.getUnitDefinition(), geometryClass);
particleInitialConditions.add(new ParticleInitialConditionCount(e, new Expression(0.0), new Expression(0.0), new Expression(0.0)));
ParticleProperties particleProperies = new ParticleProperties(volumeParticleSpeciesPattern, new Expression(0.0), new Expression(0.0), new Expression(0.0), new Expression(0.0), particleInitialConditions);
subDomain.addParticleProperties(particleProperies);
}
//
for (int i = 0; i < fieldMathMappingParameters.length; i++) {
if (fieldMathMappingParameters[i] instanceof UnitFactorParameter) {
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 (fieldMathMappingParameters[i] instanceof ObservableConcentrationParameter) {
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());
}
}
use of cbit.vcell.math.Variable in project vcell by virtualcell.
the class VariableHashTest method main.
/**
* Starts the application.
* @param args an array of command-line arguments
*/
public static void main(java.lang.String[] args) {
try {
VariableHash hash = new VariableHash();
hash.addVariable(new Constant("D", new Expression("4")));
hash.addVariable(new Constant("E", new Expression("D")));
hash.addVariable(new Constant("B", new Expression("C")));
hash.addVariable(new Constant("F", new Expression("A+B+C+E")));
hash.addVariable(new Constant("C", new Expression("D+5")));
hash.addVariable(new Constant("A", new Expression("B+C")));
Domain domain = null;
hash.addVariable(new VolVariable("V1", domain));
hash.addVariable(new VolVariable("V2", domain));
hash.addVariable(new Function("B1", new Expression("C1+V3"), domain));
hash.addVariable(new Function("F1", new Expression("A+B+C+E/V1+V2-C1+B1"), domain));
hash.addVariable(new Function("C1", new Expression("D+5+B1"), domain));
hash.addVariable(new VolVariable("V3", domain));
// //
// // unsorted list
// //
// Variable unsortedVars[] = hash.getTopologicallyReorderedVariables();
// for (int i = 0; i < unsortedVars.length; i++){
// System.out.println(unsortedVars[i]);
// }
//
// Topologically sorted list
//
Variable[] sortedVars = hash.getTopologicallyReorderedVariables();
for (int i = 0; i < sortedVars.length; i++) {
System.out.println(sortedVars[i]);
}
//
// Alphabetically sorted list
//
sortedVars = hash.getAlphabeticallyOrderedVariables();
for (int i = 0; i < sortedVars.length; i++) {
System.out.println(sortedVars[i]);
}
} catch (Throwable e) {
e.printStackTrace(System.out);
}
}
use of cbit.vcell.math.Variable in project vcell by virtualcell.
the class FastSystemAnalyzer method checkLinearity.
/**
* @exception java.lang.Exception The exception description.
*/
private void checkLinearity() throws MathException, ExpressionException {
Enumeration<Variable> enum1 = fastVarList.elements();
while (enum1.hasMoreElements()) {
Variable var = enum1.nextElement();
//
// d invariant
// for each variable, make sure ------------- = constant;
// d Var
//
Enumeration<FastInvariant> enum_fi = fastSystem.getFastInvariants();
while (enum_fi.hasMoreElements()) {
FastInvariant fi = enum_fi.nextElement();
Expression exp = fi.getFunction().differentiate(var.getName());
exp = MathUtilities.substituteFunctions(exp, this).flatten();
if (!exp.isNumeric()) {
// If expression is in terms of 'x','y','z' - then its ok - relax the constant requirement.
String[] symbols = exp.getSymbols();
for (int i = 0; i < symbols.length; i++) {
if (!symbols[i].equals(ReservedVariable.X.getName()) && !symbols[i].equals(ReservedVariable.Y.getName()) && !symbols[i].equals(ReservedVariable.Z.getName()) && !symbols[i].equals(ReservedVariable.TIME.getName())) {
throw new MathException("FastInvariant " + fi.getFunction().toString() + " isn't linear, d/d(" + var.getName() + ") = " + exp.toString());
}
}
}
}
}
}
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