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Python package for stochastic simulations

Project description

pyssa : Python package for stochastic simulations

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Introduction

pyssa is a Python package for stochastic simulations. It offers a simple api to define models, perform stochastic simulations on them and visualize the results in a convenient manner.

Install

Install with pip:

$ pip install pyssa

Documentation

Usage

from pyssa.simulation import Simulation
V_r = np.array([[1, 0], [0, 1], [0, 0]])  # Reactant matrix
V_p = np.array([[0, 0], [1, 0], [0, 1]])  # Product matrix
X0 = np.array([100, 0, 0])  # Initial state
k = np.array([1.0, 1.0])  # Rate constants
sim = Simulation(V_r, V_p, X0, k)  # Declare the simulation object
# Run the simulation
sim.simulate(max_t=150, max_iter=1000, chem_flag=True, n_rep=10)

You can change the algorithm used to perform the simulation by changing the algorithm flag

sim.simulate(max_t=150, max_iter=1000, chem_flag=True, n_rep=10, algorithm="tau_leaping")

Plotting

sim.plot()

Plot of species A, B and C

Accessing the results

results = sim.results

You can also access the final states of all the simulation runs by

final_times, final_states = results.final

Benchmarks

We chose numba after extensive testing and benchmarking against python and cython implementations.

Name (time in ms) Min Max Mean StdDev Median IQR Outliers OPS Rounds Iterations
test_numba_benchmark 314.1758 (1.0) 342.9915 (1.0) 322.9318 (1.0) 11.4590 (1.0) 318.7983 (1.0) 9.1533 (1.0) 1;1 3.0966 (1.0) 5 1
test_cy_benchmark 17,345.7698 (55.21) 19,628.3931 (57.23) 18,255.3931 (56.53) 862.4711 (75.27) 18,148.9358 (56.93) 1,030.3676 (112.57) 2;0 0.0548 (0.02) 5 1
test_py_benchmark 27,366.3681 (87.11) 28,417.8333 (82.85) 27,782.2482 (86.03) 387.2758 (33.80) 27,728.4224 (86.98) 347.3891 (37.95) 2;0 0.0360 (0.01) 5 1

License

Copyright (c) 2018-2019, Dileep Kishore, Srikiran Chandrasekaran. Released under: Apache Software License 2.0

Credits

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