Addition of flow reactions preserving multistationarity and bistability

TY - JOUR

T1 - Addition of flow reactions preserving multistationarity and bistability

AU - Cappelletti, Daniele

AU - Feliu, Elisenda

AU - Wiuf, Carsten

PY - 2019/9/26

Y1 - 2019/9/26

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.

AB - 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.

KW - q-bio.MN

KW - math.DS

M3 - Journal article

JO - arXiv.org

JF - arXiv.org

ER -