# Mathematical Analysis of Chemical Reaction Systems

Source: [Mathematical Analysis of Chemical Reaction Systems](<https://www.sota2.com/research/paper/68fa5edb1e209131ce9e5bc1>)

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

Data updated: 2025-10-25T19:01:51.543Z

Authors: Polly Y. Yu, Gheorghe Craciun

Published: 2018-05-25T21:45:08.000Z

## Abstract

The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuous versus discrete, and homogeneous versus spatially distributed. Here we focus on mathematical models based on deterministic mass-action kinetics. These models are systems of coupled nonlinear differential equations on the positive orthant. We explain how mathematical properties of the solutions of mass-action systems are strongly related to key properties of the networks of chemical reactions that generate them, such as specific versions of reversibility and feedback interactions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1805.10371>)

[PDF](<https://arxiv.org/pdf/1805.10371.pdf>)