Graph-theoretic conditions for multistationarity for mass-conserved biochemical networks
Last modified: 2014-06-09
Abstract
Understanding the dynamics of interactions in complex biochemical reaction networks is an important problem in mathematical biology. Mathematical models of biochemical networks often lead to complicated dynamical systems with many unknown parameters. Graphs associated with biochemical networks can be used to predict the existence of multistationarity
in a dynamic model without knowing the parameter values. We will present a general graph-theoretic condition for multistationarity applicable to mass-conserved biochemical networks.