# Solving stochastic chemical kinetics by Metropolis Hastings sampling

Source: [Solving stochastic chemical kinetics by Metropolis Hastings sampling](<https://www.sota2.com/research/paper/68fa513e1e209131ce9720e0>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-05T05:00:33.258Z

Authors: Azam S. Zavar Moosavi, Paul Tranquilli, Adrian Sandu

Published: 2014-10-29T20:34:59.000Z

## Abstract

This study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distribution which is a standard method for solving well-stirred chemically reacting systems as a desired distribution. A new numerical solvers based on exponential form of exact and approximate solutions of CME (Chemical Master Equation) is employed for obtaining target and proposal distributions in Metropolis-Hastings algorithm to accelerate the accuracy of the tau-leap method. Samples generated by this technique have the same distribution as SSA and the histogram of samples show it's convergence to SSA.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1410.8155>)

[PDF](<https://arxiv.org/pdf/1410.8155.pdf>)