Stochastic delay differential equations for genetic regulatory networks
Contribuinte(s) |
Brenner Goovaerts Mitsui Ng Sommeijer Wuytack |
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Data(s) |
15/08/2007
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Resumo |
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 masterequation 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. (c) 2006 Elsevier B.V. All rights reserved. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Elsevier BV |
Palavras-Chave | #Mathematics, Applied #stochastic delay differential equations #genetic regulatory networks #chemical Langevin equation #stochastic simulation algorithm #Oscillatory Expression #Chemical-kinetics #Systems #Hes1 #Approximation #Simulation #Noise #C1 #230116 Numerical Analysis #239901 Biological Mathematics #780101 Mathematical sciences |
Tipo |
Journal Article |