Topological descriptors of the parameter region of multistationarity: Deciding upon connectivity.

ABSTRACT: Switch-like responses arising from bistability have been linked to cell signaling processes and memory. Revealing the shape and properties of the set of parameters that lead to bistability is necessary to understand the underlying biological mechanisms, but is a complex mathematical problem. We present an efficient approach to address a basic topological property of the parameter region of multistationary, namely whether it is connected. The connectivity of this region can be interpreted in terms of the biological mechanisms underlying bistability and the switch-like patterns that the system can create. We provide an algorithm to assert that the parameter region of multistationarity is connected, targeting reaction networks with mass-action kinetics. We show that this is the case for numer

SUBMITTER: Telek ML 

PROVIDER: S-EPMC10075486 | biostudies-literature | 2023 Mar

REPOSITORIES: biostudies-literature