3 papers
math.PR2026
Thermodynamic Limits of Stochastic Chemical Reaction Networks with Phosphorylation
Lucie Laurence, Philippe Robert
In this paper we investigate the stability properties of a fundamental mechanism of biological cells called phosphorylation. The system is a chemical reaction network (CRN) for whi…
math.PR2024
Analysis of Stochastic Chemical Reaction Networks with a Hierarchy of Timescales
Lucie Laurence, Philippe Robert
We investigate a class of stochastic chemical reaction networks with chemical species , \ldots, , and whose complexes are only of the form , ,\ld…
math.PR2024
Stochastic Chemical Reaction Networks with Discontinuous Limits and AIMD processes
Lucie Laurence, Philippe Robert
In this paper we study a class of stochastic chemical reaction networks (CRNs) for which chemical species are created by a sequence of chain reactions. We prove that under some con…