5 papers
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…
Scaling Methods for Stochastic Chemical Reaction Networks
Lucie Laurence, Philippe Robert
The asymptotic properties of some Markov processes associated to stochastic chemical reaction networks (CRNs) driven by the kinetics of the law of mass action are analyzed. The sca…
Noise-induced stabilization in a chemical reaction network without boundary effects
Andrea Agazzi, Lucie Laurence
We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space,…
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…
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…