Delay-induced degrade-and-fire oscillations in small genetic circuits.
Delay-induced degrade-and-fire oscillations in small genetic circuits.
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DOI:
10.1103/physrevlett.102.068105
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发表时间:
2009-02-13
影响因子:
8.6
通讯作者:
Tsimring LS
中科院分区:
文献类型:
--
作者:
Mather W;Bennett MR;Hasty J;Tsimring LS
Robust oscillations have recently been observed in a synthetic gene network composed of coupled positive and negative feedback loops. Here we use deterministic and stochastic modeling to investigate how a small time delay in such regulatory networks can lead to strongly nonlinear oscillations that can be characterized by “degrade and fire” dynamics. We show that the period of the oscillations can be significantly greater than the delay time, provided the circuit components possess strong activation and tight repression. The variability of the period is strongly influenced by fluctuations near the oscillatory minima, when the number of regulatory molecules is small. We explore the effect of the positive feedback loop on the robustness of these oscillations.