SSA (Stochastic Simulation Algorithm)
The Gillespie algorithm (1977) simulates trajectories of a stochastic equation system (reactions) for which the rates are known. If the number of reactants is high, the time steps become small and the algorithm stalls. This behaviour is alleviated in the tau-leaping algorithm.
Usage
e["Solver"]["Type"] = "SSM/SSA"
Results
These are the results produced by this solver:
- Mean Trajectory
Usage: e[“Results”][“Mean Trajectory”] = List of Lists of real number
Description: Binned mean of trajectory, averaged over all simulation runs.
Variable-Specific Settings
These are settings required by this module that are added to each of the experiment’s variables when this module is selected.
Configuration
These are settings required by this module.
- Simulation Length
Usage: e[“Solver”][“Simulation Length”] = real number
Description: Total duration of a stochastic reaction simulation.
- Diagnostics / Num Bins
Usage: e[“Solver”][“Diagnostics”][“Num Bins”] = unsigned integer
Description: Number of bins to calculate the mean trajectory at termination.
- Simulations Per Generation
Usage: e[“Solver”][“Simulations Per Generation”] = unsigned integer
Description: Number of trajectory simulations per Korali generation (checkpoints are generated between generations).
Termination Criteria
These are the customizable criteria that indicates whether the solver should continue or finish execution. Korali will stop when at least one of these conditions are met. The criteria is expressed in C++ since it is compiled and evaluated as seen here in the engine.
- Max Num Simulations
Usage: e[“Solver”][“Max Num Simulations”] = unsigned integer
Description: Max number of trajectory simulations.
Criteria:
_maxNumSimulations <= _completedSimulations
- Max Model Evaluations
Usage: e[“Solver”][“Max Model Evaluations”] = unsigned integer
Description: Specifies the maximum allowed evaluations of the computational model.
Criteria:
_maxModelEvaluations <= _modelEvaluationCount
- Max Generations
Usage: e[“Solver”][“Max Generations”] = unsigned integer
Description: Determines how many solver generations to run before stopping execution. Execution can be resumed at a later moment.
Criteria:
_k->_currentGeneration > _maxGenerations
Default Configuration
These following configuration will be assigned by default. Any settings defined by the user will override the given settings specified in these defaults.
{ "Diagnostics": { "Num Bins": 100 }, "Model Evaluation Count": 0, "Simulations Per Generation": 1, "Termination Criteria": { "Max Generations": 10000000000, "Max Model Evaluations": 1000000000, "Max Num Simulations": 1 }, "Uniform Generator": { "Maximum": 1.0, "Minimum": 0.0, "Type": "Univariate/Uniform" }, "Variable Count": 0 }
Variable Defaults
These following configuration will be assigned to each of the experiment variables by default. Any settings defined by the user will override the given settings specified in these defaults.
{ }