A delay stochastic process with applications in molecular biology

DOI10.1007/S00285-008-0178-YzbMath1161.92002OpenAlexW1981354971WikidataQ51887379 ScholiaQ51887379MaRDI QIDQ999287

Gerhard Winkler, Robert Schlicht

Publication date: 3 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00285-008-0178-y

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Biochemistry, molecular biology (92C40) Stochastic functional-differential equations (34K50) Developmental biology, pattern formation (92C15) Cell biology (92C37)

Related Items (8)

Local-density dependent Markov processes on graphons with epidemiological applications ⋮ Stochastic and delayed stochastic models of gene expression and regulation ⋮ Asymptotic mean-square stability of explicit Runge-Kutta Maruyama methods for stochastic delay differential equations ⋮ Stochastic models of gene expression with delayed degradation ⋮ Anticipated backward stochastic differential equations with non-Lipschitz coefficients ⋮ Delay Stochastic Simulation of Biological Systems: A Purely Delayed Approach ⋮ A Comparison of Stochastic Systems with Different Types of Delays ⋮ Accuracy criterion for mean field approximations of Markov processes on hypergraphs

Cites Work

• Intracellular delay limits cyclic changes in gene expression
• A mathematical investigation of a Clock and Wavefront model for somitogenesis
• Real Analysis and Probability
• Probability

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