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Chaos / Volume 21 / Issue 4 / FOCUS ISSUE: NONLINEAR AND STOCHASTIC PHYSICS IN BIOLOGY

Chaos 21, 047522 (2011); http://dx.doi.org/10.1063/1.3629984 (6 pages)

Key role of time-delay and connection topology in shaping the dynamics of noisy genetic regulatory networks

X. L. Yang1,2, D. V. Senthilkumar2, Z. K. Sun3, and J. Kurths2,4

1College of Mathematics and Information Science, Shaanxi Normal University, Xián 710062, People’s Republic of China
2Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany
3Department of Applied Mathematics, Northwestern Polytechnical University, Xián 710072, People’s Republic of China
4Institute of Physics, Humboldt University, 12489 Berlin, Germany

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(Received 16 June 2011; accepted 1 August 2011; published online 29 December 2011)

This paper focuses on a paced genetic regulatory small-world network with time-delayed coupling. How the dynamical behaviors including temporal resonance and spatial synchronization evolve under the influence of time-delay and connection topology is explored through numerical simulations. We reveal the phenomenon of delay-induced resonance when the network topology is fixed. For a fixed time-delay, temporal resonance is shown to be degraded by increasing the rewiring probability of the network. On the other hand, for small rewiring probability, temporal resonance can be enhanced by an appropriately tuned small delay but degraded by a large delay, while conversely, temporal resonance is always reduced by time-delay for large rewiring probability. Finally, an optimal spatial synchrony is detected by a proper combination of time-delay and connection topology.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. DYNAMICAL MODEL AND SETUP
  3. RESULTS
    1. The role of time-delay in temporal resonance
    2. The role of connection topology in temporal resonance
    3. Spatial synchronous dynamics in the gene network
  4. CONCLUSION

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KEYWORDS and PACS

Keywords

biochemistry, cellular biophysics, complex networks, delays, genetics, molecular biophysics, network topology, nonlinear dynamical systems, synchronisation

PACS

  • 87.18.Cf

    Genetic switches and networks

  • 87.18.Vf

    Systems biology

  • 05.45.Xt

    Synchronization; coupled oscillators

  • 87.16.Yc

    Regulatory genetic and chemical networks

  • 89.75.Hc

    Networks and genealogical trees

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3629984

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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