Addition of flow reactions preserving multistationarity and bistability
Molecular Networks
2019-12-11 v2 Dynamical Systems
Abstract
We consider the question whether a chemical reaction network preserves the number and stability of its positive steady states upon inclusion of inflow and outflow reactions. Often a model of a reaction network is presented without inflows and outflows, while in fact some of the species might be degraded or leaked to the environment, or be synthesized or transported into the system. We provide a sufficient and easy-to-check criterion based on the stoichiometry of the reaction network alone and discuss examples from systems biology.
Keywords
Cite
@article{arxiv.1909.11940,
title = {Addition of flow reactions preserving multistationarity and bistability},
author = {Daniele Cappelletti and Elisenda Feliu and Carsten Wiuf},
journal= {arXiv preprint arXiv:1909.11940},
year = {2019}
}
Comments
To appear in Mathematical Biosciences