STOCHASTIC TIME DELAYS IN REGULATORY NETWORKS AND MODEL REDUCTION

Juan G. Diaz Ochoa ()
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Juan G. Diaz Ochoa: Goethestr. 23, Magdeburg, D-39108, Germany

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 04, 385-399

Abstract: Stochastic time delays and asynchronism in regulatory networks is an ubiquitous phenomena in biology, in particular in regulatory networks. However, this phenomena is poorly understood. In particular, variable-stochastic time intervals in the realization of chemical reactions have a crucial effect in the dynamics of the system. I analyze the effect that different time delays in feedback loops can have in the transient behavior of a regulatory network. Using a simple toy model for a regulatory network with forcing I show that such time delays introduce an oscillatory behavior that can alternatively be explained if additional loops are defined. The results suggest that the introduction of time delays is a mechanism that is helpful to theoretically reduce the number of elements, in particular the number of feedback loops, in competing network models.

Keywords: Stochastic time delays; regulatory networks; 82.39.Rt; 87.18.Gh; 87.18.Vf; 05.50.+ (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016312

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