Analytic solutions for stochastic hybrid models of gene regulatory networks

DOI10.1007/s00285-021-01549-7zbMath1459.35362arXiv1812.07788OpenAlexW2903812525WikidataQ113905597 ScholiaQ113905597MaRDI QIDQ2223255

Delio Mugnolo, Pavel Kurasov, Verena Wolf

Publication date: 28 January 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07788

zbMATH Keywords

piecewise deterministic Markov processespositive \(C_0\)-semigroupssystems of PDEsPetri networks

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Protein sequences, DNA sequences (92D20) PDEs with randomness, stochastic partial differential equations (35R60) Cell biology (92C37) Genetics and epigenetics (92D10) Positive solutions to PDEs (35B09) Initial-boundary value problems for systems of linear first-order PDEs (35F46)

Related Items (4)

Protein noise and distribution in a two-stage gene-expression model extended by an mRNA inactivation loop ⋮ Stochastic hybrid models of gene regulatory networks -- a PDE approach ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties ⋮ Heavy-tailed distributions in a stochastic gene autoregulation model

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