Push-forward method for piecewise deterministic biochemical simulations

DOI10.1016/j.tcs.2021.05.025OpenAlexW3164505599MaRDI QIDQ2238203

Guilherme C. P. Innocentini, Ovidiu Radulescu, Arnaud Debussche, Arran Hodgkinson, Fernando Antoneli

Publication date: 1 November 2021

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06577

zbMATH Keywords

gene networksstochastic gene expressionpiecewise-deterministic processesLiouville-master equationpush-forward method

Mathematics Subject Classification ID

Theory of computing (68Qxx)

Cites Work

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• Protein synthesis driven by dynamical stochastic transcription
• Stochastic hybrid models of gene regulatory networks -- a PDE approach
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• Experimental biological protocols with formal semantics
• Almost sure convergence of numerical approximations for piecewise deterministic Markov processes
• Effective computational methods for hybrid stochastic gene networks
• Stochastic hybrid systems for studying biochemical processes
• Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution

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