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

Source: Chaos 21, 047522 (2012); http://dx.doi.org/10.1063/1.3629984

Published 29 December 2011

KEYWORDS and PACS
Keywords
PACS
  • 87.18.Cf
    Genetic switches and networks (biological complexity)
  • 87.18.Vf
    Systems biology
  • 05.45.Xt
    Synchronization; coupled oscillators (nonlinear dynamical systems)
  • 87.16.Yc
    Regulatory genetic and chemical networks (subcellular structure/processes)
  • 89.75.Hc
    Networks and genealogical trees
  • YEAR: 2011
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PUBLICATION DATA
ISSN:
1553-9628 (online)
Publisher:
AIP is a member of CrossRef AIP
X. L. Yang,1,2 D. V. Senthilkumar,2 Z. K. Sun,3 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
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
History: Received 16 June 2011; accepted 1 August 2011; published 29 December 2011
Digital Object Identifier: http://dx.doi.org/10.1063/1.3629984

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