Speaker
Dr
Matthew Johnston
(San Jose State University)
Description
Classical results give structural conditions under which the steady state set of a (bio)chemical reaction system has a monomial parametrization. This property has been studied extensively in the context of characterizing a mechanism's capacity for mono- and multi-stationarity. In this talk, we generalize the existing structural framework and derive sufficient conditions for guaranteeing that the steady states have a rational parametrization. Applications include the EnvZ-OmpR osmoregularity pathway and the Shuttled WNT signalling pathway.
Primary authors
Dr
Matthew Johnston
(San Jose State University)
Dr
Stefan Muller
(RICAM)
Dr
Pantea Casian
(West Virginia University)