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• W2008597963 abstract "Time delay is an important aspect in the modelling of genetic regulation due to slow biochemical reactions such as gene transcription and translation, and protein diffusion between the cytosol and nucleus. In this paper we introduce a general mathematical formalism via stochastic delay differential equations for describing time delays in genetic regulatory networks. Based on recent developments with the delay stochastic simulation algorithm, the delay chemical master equation and the delay reaction rate equation are developed for describing biological reactions with time delay, which leads to stochastic delay differential equations derived from the Langevin approach. Two simple genetic regulatory networks are used to study the impact of intrinsic noise on the system dynamics where there are delays." @default.
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• W2008597963 date "2007-08-01" @default.
• W2008597963 modified "2023-10-17" @default.
• W2008597963 title "Stochastic delay differential equations for genetic regulatory networks" @default.
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• W2008597963 doi "https://doi.org/10.1016/j.cam.2006.02.063" @default.
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