# Chemical kinetics and stochastic differential equations

Source: [Chemical kinetics and stochastic differential equations](<https://www.sota2.com/research/paper/68fa43541e209131ce908fc8>)

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

Data updated: 2025-10-25T04:14:18.236Z

Authors: Chiara Pezzotti, Massimiliano Giona

Published: 2023-01-12T15:17:46.000Z

## Abstract

We propose a general stochastic formalism for describing the evolution of chemical reactions involving a finite number of molecules. This approach is consistent with the statistical analysis based on the Chemical Master Equation, and provides the formal setting for the existing algorithmic approaches (Gillespie algorithm). Some practical advantages of this formulation are addressed, and several examples are discussed pointing out the connection with quantum transitions (radiative interactions).

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2301.05072>)

[PDF](<https://arxiv.org/pdf/2301.05072.pdf>)