Jinzhi Lei et al 2009 Nonlinearity 22 2845 doi:10.1088/0951-7715/22/12/003
Jinzhi Lei1, Guowei He2, Haoping Liu3,6 and Qing Nie4,5,6
Show affiliationsRecommended by A L Bertozzi
Many biological systems can switch between two distinct states. Once switched, the system remains stable for a period of time and may switch back to its original state. A gene network with bistability is usually required for the switching and stochastic effect in the gene expression may induce such switching. A typical bistable system allows one-directional switching, in which the switch from the low state to the high state or from the high state to the low state occurs under different conditions. It is usually difficult to enable bi-directional switching such that the two switches can occur under the same condition. Here, we present a model consisting of standard positive feedback loops and an extra negative feedback loop with a time delay to study its capability to produce bi-directional switching induced by noise. We find that the time delay in the negative feedback is critical for robust bi-directional switching and the length of delay affects its switching frequency.
87.16.Yc Regulatory genetic and chemical networks
34K50 Stochastic delay equations (See also 34F05, 60Hxx)
Issue 12 (December 2009)
Received 22 June 2009, in final form 3 October 2009
Published 30 October 2009
Jinzhi Lei et al 2009 Nonlinearity 22 2845
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