TY - JOUR

T1 - The multistationarity structure of networks with intermediates and a binomial core network

AU - Sadeghimanesh, AmirHosein

AU - Feliu, Elisenda

PY - 2019

Y1 - 2019

N2 - This work addresses whether a reaction network, taken with mass-action kinetics, is multistationary, that is, admits more than one positive steady state in some stoichiometric compatibility class. We build on previous work on the effect that removing or adding intermediates has on multistationarity, and also on methods to detect multistationarity for networks with a binomial steady-state ideal. In particular, we provide a new determinant criterion to decide whether a network is multistationary, which applies when the network obtained by removing intermediates has a binomial steady-state ideal. We apply this method to easily characterize which subsets of complexes are responsible for multistationarity; this is what we call the multistationarity structure of the network. We use our approach to compute the multistationarity structure of the n-site sequential distributive phosphorylation cycle for arbitrary n.

AB - This work addresses whether a reaction network, taken with mass-action kinetics, is multistationary, that is, admits more than one positive steady state in some stoichiometric compatibility class. We build on previous work on the effect that removing or adding intermediates has on multistationarity, and also on methods to detect multistationarity for networks with a binomial steady-state ideal. In particular, we provide a new determinant criterion to decide whether a network is multistationary, which applies when the network obtained by removing intermediates has a binomial steady-state ideal. We apply this method to easily characterize which subsets of complexes are responsible for multistationarity; this is what we call the multistationarity structure of the network. We use our approach to compute the multistationarity structure of the n-site sequential distributive phosphorylation cycle for arbitrary n.

KW - q-bio.MN

KW - math.AG

UR - https://link.springer.com/epdf/10.1007/s11538-019-00612-1?author_access_token=1SuFUQm-SJPo8BHSyhyc1fe4RwlQNchNByi7wbcMAY5IkNC2gLBhxfsdIgcXQFbewxBdfXPCtsaiL0_u9UDugRzO1VaAFnzT_EVTF43dQYaTAOOIGdh56H4xOh-j9MlN834WZcTr0uVv--pK6IyHOA%3D%3D

U2 - 10.1007/s11538-019-00612-1

DO - 10.1007/s11538-019-00612-1

M3 - Journal article

C2 - 31102135

VL - 81

SP - 2428

EP - 2462

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

SN - 0092-8240

IS - 7

ER -