2 citations · 2 across the 4 of their papers we have counts for
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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…
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…
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…
A scaling analysis of a cat and mouse Markov chain
Nelly Litvak, Philippe Robert
If is a Markov chain on a discrete state space , a Markov chain on the product space , the cat and mouse Markov…