Abstract

Citation

Researchers should cite this work as follows:

• Yu, P. (2023). 2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems. SIMIODE, QUBES Educational Resources. doi:10.25334/6C93-S719

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Yu, Polly Y. and Gheorghe Craciun. 2018. Mathematical Analysis of Chemical Reaction Systems. Isr. J. Chem. 58: 1 – 10.

See https://people.math.wisc.edu/~craciun/PAPERS_NEW/Yu_Craciun_2018-Israel_Journal_of_Chemistry.pdf . Accessed 8 March 2023.

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.

Keywords: reaction networks, mathematical models, mass-action kinetics