Absolutely Robust Control Modules in Chemical Reaction Networks

Professor German Enciso
Department of Mathematics
University of California, Irvine


ABSTRACT


We use ideas from the theory of absolute concentration robustness to control a species of interest in a given chemical reaction network. The results are based on the network topology and the deficiency of the system, independent of reaction parameter values. The control holds in the stochastic regime and the quasistationary distribution of the controlled species is shown to be approximately Poisson under a specific scaling limit.