Analysis of Singularly Perturbed Stochastic Chemical Reaction Networks Motivated by Applications to Epigenetic Cell Memory

Bruno, Simone; Campos, Felipe A.; Fu, Yi; Vecchio, Domitilla Del; Williams, Ruth J.

doi:10.1137/23m1592389

SIAM J. Appl. Dyn. Syst.

2024

DOI: 10.1137/23m1592389

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Analysis of Singularly Perturbed Stochastic Chemical Reaction Networks Motivated by Applications to Epigenetic Cell Memory

Simone Bruno,

Felipe A. Campos,

Yi Fu

et al.

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2024

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Cited by 2 publications

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Asymmetric autocatalytic reactions and their stationary distribution

Gallinger,

Popovic

2024

R. Soc. Open Sci.

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We consider a general class of autocatalytic reactions, which has been shown to display stochastic switching behaviour (discreteness-induced transitions (DITs)) in some parameter regimes. This behaviour was shown to occur either when the overall species count is low or when the rate of inflow and outflow of species is relatively much smaller than the rate of autocatalytic reactions. The long-term behaviour of this class was analysed in Bibbona et al. (Bibbona et al. 2020 J. R. Soc. Interface 17 , 20200243 (doi:10.1098/rsif.2020.0243)) with an analytic formula for the stationary distribution in the symmetric case. We focus on the case of asymmetric autocatalytic reactions and provide a formula for an approximate stationary distribution of the model. We show this distribution has different properties corresponding to the distinct behaviour of the process in the three parameter regimes; in the DIT regime, the formula provides the fraction of time spent at each of the stable points.

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Asymmetric autocatalytic reactions and their stationary distribution

Gallinger,

Popovic

2024

R. Soc. Open Sci.

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Bridging bioengineering and epigenetics: from technical innovations to clinical applications

Jacob,

van Loosen,

van den Berg van Saparoea

et al. 2024

Epigenetics Commun.

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Analysis of Singularly Perturbed Stochastic Chemical Reaction Networks Motivated by Applications to Epigenetic Cell Memory

Cited by 2 publications

References 24 publications

Asymmetric autocatalytic reactions and their stationary distribution

Asymmetric autocatalytic reactions and their stationary distribution

Bridging bioengineering and epigenetics: from technical innovations to clinical applications

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