Addition of flow reactions preserving multistationarity and bistability

Daniele Cappelletti; Elisenda Feliu; Carsten Wiuf

Addition of flow reactions preserving multistationarity and bistability

Daniele Cappelletti, Elisenda Feliu, Carsten Wiuf

Institut for Matematiske Fag

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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.

Originalsprog	Engelsk
Tidsskrift	arXiv.org
Status	Udgivet - 26 sep. 2019

Adgang til dokumentet

1909.11940v1

Citationsformater

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N2 - 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.

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