TY - JOUR
T1 - The multistationarity structure of networks with intermediates and a binomial core network
AU - Sadeghimanesh, AmirHosein
AU - Feliu, Elisenda
PY - 2019/7/15
Y1 - 2019/7/15
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
SN - 0092-8240
VL - 81
SP - 2428
EP - 2462
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 7
ER -