Transcriptional Delay Stabilizes Bistable Gene Networks

Chinmaya Gupta, José Manuel López, William Ott, Krešimir Josić, and Matthew R. Bennett
Phys. Rev. Lett. 111, 058104 – Published 2 August 2013
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Transcriptional delay can significantly impact the dynamics of gene networks. Here we examine how such delay affects bistable systems. We investigate several stochastic models of bistable gene networks and find that increasing delay dramatically increases the mean residence times near stable states. To explain this, we introduce a non-Markovian, analytically tractable reduced model. The model shows that stabilization is the consequence of an increased number of failed transitions between stable states. Each of the bistable systems that we simulate behaves in this manner.

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  • Received 24 April 2013


© 2013 American Physical Society

Authors & Affiliations

Chinmaya Gupta1, José Manuel López1, William Ott1, Krešimir Josić1,2, and Matthew R. Bennett3,4,*

  • 1Department of Mathematics, University of Houston, Houston, Texas 77004, USA
  • 2Department of Biology and Biochemistry, University of Houston, Houston, Texas 77004, USA
  • 3Department of Biochemistry and Cell Biology, Rice University, Houston, Texas 77005, USA
  • 4Institute of Biosciences and Bioengineering, Rice University, Houston, Texas 77005, USA

  • *To whom all correspondence should be addressed.

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Vol. 111, Iss. 5 — 2 August 2013

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