Synchronization of coupled nonidentical genetic oscillators
Synchronization of coupled nonidentical genetic oscillators
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DOI：
10.1088/1478-3975/3/1/004
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发表时间：
2006-03-01
期刊：
影响因子：
2
通讯作者：
Aihara, K
中科院分区：
文献类型：
--
作者：
Li, CG;Chen, LJN;Aihara, K
研究遗传振荡器之间的同步化的集体动力学对于在分子和细胞水平上理解生物体的节律现象是必不可少的。遗传振荡器是生物化学网络，通常可以建模为非线性动力学系统。本文证明了利用生物系统的特殊结构，许多遗传振子可以转化为Lur 'e形式。利用控制理论的方法，我们提供了一个理论方法来分析耦合不同的遗传振子的同步。文中还给出了同步的充分条件和同步误差的界估计。为了证明我们的理论结果的有效性，人口的遗传振子的基础上的Goodwin模型作为数值例子。
The study of the collective dynamics of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic oscillators are biochemical networks, which can generally be modelled as nonlinear dynamic systems. We show in this paper that many genetic oscillators can be transformed into Lur'e form by exploiting the special structure of biological systems. By using a control theory approach, we provide a theoretical method for analysing the synchronization of coupled nonidentical genetic oscillators. Sufficient conditions for the synchronization as well as the estimation of the bound of the synchronization error are also obtained. To demonstrate the effectiveness of our theoretical results, a population of genetic oscillators based on the Goodwin model are adopted as numerical examples.