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How input fluctuations reshape the dynamics of a biological switching system

机译:输入波动如何重塑生物交换系统的动力学

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摘要

An important task in quantitative biology is to understand the role of stochasticity in biochemical regulation.Here, as an extension of our recent work [Phys. Rev. Lett. 107, 148101 (2011)], we study how input fluctuationsaffect the stochastic dynamics of a simple biological switch. In our model, the on transition rate of the switch isdirectly regulated by a noisy input signal, which is described as a non-negative mean-reverting diffusion process.This continuous process can be a good approximation of the discrete birth-death process and is much moreanalytically tractable.Within this setup, we apply the Feynman-Kac theorem to investigate the statistical featuresof the output switching dynamics. Consistent with our previous findings, the input noise is found to effectivelysuppress the input-dependent transitions.We show analytically that this effect becomes significant when the inputsignal fluctuates greatly in amplitude and reverts slowly to its mean.
机译:定量生物学的一项重要任务是了解随机性在生化调控中的作用。在此,作为我们近期工作的延伸[Phys。牧师107,148101(2011)],我们研究了输入波动如何影响简单生物开关的随机动力学。在我们的模型中,开关的导通转换速率直接由有噪声的输入信号调节,这被描述为非负均值回复扩散过程,该连续过程可以很好地近似离散生灭过程,并且在这种设置下,我们应用Feynman-Kac定理研究输出切换动力学的统计特征。与我们以前的发现一致,发现输入噪声可以有效抑制与输入有关的跃迁。我们通过分析表明,当输入信号的幅度大幅波动并缓慢恢复至其平均值时,这种影响变得明显。

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