生化系统中随机振子的同步
Synchronisation of stochastic oscillators in biochemical systems
摘要：
一种形式主义的发展，它描述了在何种程度上，在生化模型中的随机振荡同步。它是基于线性噪声近似内的复相干函数的计算。该方法说明了一个简单的例子，然后应用于研究社会变形虫的化学浓度的同步。在不同的细胞和细胞的体积中的速率常数的变化的影响同步的振荡的程度进行了探讨，并计算的相位滞后。在所有的情况下，分析结果表明，在良好的协议，通过数值模拟得到的。
英文摘要：
A formalism is developed which describes the extent to which stochastic oscillations in biochemical models are synchronised. It is based on the calculation of the complex coherence function within the linear noise approximation. The method is illustrated on a simple example and then applied to study the synchronisation of chemical concentrations in social amoeba. The degree to which variation of rate constants in different cells and the volume of the cells affects synchronisation of the oscillations is explored, and the phase lag calculated. In all cases the analytical results are shown to be in good agreement with those obtained through numerical simulations.
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