The Switch in a Genetic Toggle System with Lévy Noise.
The Switch in a Genetic Toggle System with Lévy Noise.
复制标题
带有 Levy 噪声的遗传切换系统中的开关
DOI：
10.1038/srep31505
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发表时间：
2016-08-19
影响因子：
4.6
通讯作者：
Kurths J
中科院分区：
文献类型：
--
作者：
Xu Y;Li Y;Zhang H;Li X;Kurths J
生物学领域的一个典型模型是一个双开关。由高斯噪声引起的系统动力学已被深入研究，但高斯噪声不能包含通常发生在真实的实验中的大爆发。本文的目的是研究的影响，从一个蛋白质的变化所施加的非高斯Lévy噪声，这是能够描述即使是大的跳跃，通过稳态概率密度，联合稳态概率密度和平均首次通过时间的相干开关和开/关开关。我们发现，一个大的蛋白质由于Lévy噪声爆发可以诱导相干开关，即使与高斯的情况下，需要大的强度，这需要小的噪声强度。分析了稳定性指数、偏度参数和噪声强度对开关的影响，从而调整了两种蛋白质的浓度，并决定了哪个稳定点最稳定。Lévy噪声对平均首次穿越时间的影响较为复杂，尤其是对稳定性指标和偏度参数的影响更为明显。我们的研究结果还表明，非高斯Lévy噪声的存在从根本上改变了逃逸机制，在这样的系统相比，高斯噪声。
A bistable toggle switch is a paradigmatic model in the field of biology. The dynamics of the system induced by Gaussian noise has been intensively investigated, but Gaussian noise cannot incorporate large bursts typically occurring in real experiments. This paper aims to examine effects of variations from one protein imposed by a non-Gaussian Lévy noise, which is able to describe even large jumps, on the coherent switch and the on/off switch via the steady-state probability density, the joint steady-state probability density, and the mean first passage time. We find that a large burst of one protein due to the Lévy noises can induce coherent switches even with small noise intensities in contrast to the Gaussian case which requires large intensities for this. The influences of the stability index, skewness parameter and noise intensity on the on/off switch are analyzed, leading to an adjustment of the concentrations of both proteins and a decision which stable point to stay most. The mean first passage times show complex effects under Lévy noise, especially the stability index and skewness parameter. Our results also imply that the presence of non-Gaussian Lévy noises has fundamentally changed the escape mechanism in such a system compared with Gaussian noise.