Mathematical Analysis of Chemical Reaction Systems
Molecular Networks
2018-05-29 v1
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
Cite
@article{arxiv.1805.10371,
title = {Mathematical Analysis of Chemical Reaction Systems},
author = {Polly Y. Yu and Gheorghe Craciun},
journal= {arXiv preprint arXiv:1805.10371},
year = {2018}
}
Comments
17 pages, 7 figures, review