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Stochastic Time Delays In Regulatory Networks And Model Reduction

Author

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  • JUAN G. DIAZ OCHOA

    (Goethestr. 23, Magdeburg, D-39108, Germany)

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.

Suggested Citation

  • Juan G. Diaz Ochoa, 2011. "Stochastic Time Delays In Regulatory Networks And Model Reduction," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 385-399.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:04:n:s0129183111016312
    DOI: 10.1142/S0129183111016312
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