Homeostasis in Chemical Reaction Pathways

TL;DR

This paper demonstrates that in stochastic chemical reaction networks with time-varying inputs, the mean molecule counts stabilize away from input nodes, exhibiting a form of homeostasis despite dynamic inputs.

Contribution

It proves a novel homeostasis property in stochastic reaction networks with time-dependent inputs, showing mean molecule counts stabilize far from input nodes.

Findings

Mean molecule numbers become approximately constant away from input nodes

Homeostasis persists despite strong time dependence of input rates

Stochastic models exhibit stability in mean behavior

Abstract

We consider stochastic models of chemical reaction networks with time dependent input rates and several types of molecules. We prove that, in despite of strong time dependence of input rates, there is a kind of homeostasis phenomenon: far away from input nodes the mean numbers of molecules of each type become approximately constant (do not depend on time).