Modeling the Cell Cycle: Why Do Certain Circuits Oscillate?
Modeling the Cell Cycle: Why Do Certain Circuits Oscillate?
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DOI：
10.1016/j.cell.2011.03.006
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发表时间：
2011-03-18
期刊：
影响因子：
64.5
通讯作者：
Yang, Qiong
中科院分区：
文献类型：
--
作者：
Ferrell, James E., Jr.;Tsai, Tony Yu-Chen;Yang, Qiong
计算建模和非线性动力学系统的理论使人们不仅可以简单地描述细胞周期的事件，而且可以理解这些事件的发生，就像引力理论可以理解为什么炮弹在抛物线弧中飞行。真核细胞周期的最简单例子像自主振荡器一样运行。在这里，我们介绍了在异爪蟾胚胎细胞周期的背景下振荡生化回路的基本理论。我们检查布尔模型，延迟微分方程模型，尤其是普通的微分方程（ODE）模型。对于ODE模型，我们探讨了从两种简单类型的电路（负反馈循环以及耦合正面和负面反馈循环）中获得振荡所需的内容。最后，我们回顾了线性稳定性分析的过程，该过程允许人们确定给定的ODE模型和特定的动力学参数是否会产生振荡。
Computational modeling and the theory of nonlinear dynamical systems allow one to not simply describe the events of the cell cycle, but also to understand why these events occur, just as the theory of gravitation allows one to understand why cannonballs fly in parabolic arcs. The simplest examples of the eukaryotic cell cycle operate like autonomous oscillators. Here, we present the basic theory of oscillatory biochemical circuits in the context of the Xenopus embryonic cell cycle. We examine Boolean models, delay differential equation models, and especially ordinary differential equation (ODE) models. For ODE models, we explore what it takes to get oscillations out of two simple types of circuits (negative feedback loops and coupled positive and negative feedback loops). Finally, we review the procedures of linear stability analysis, which allow one to determine whether a given ODE model and a particular set of kinetic parameters will produce oscillations.