The Goodwin Oscillator and its Legacy
The Goodwin Oscillator and its Legacy
复制标题
DOI：
10.1007/s10441-020-09379-8
复制
发表时间：
2020-03-25
影响因子：
1.3
通讯作者：
Ruoff, Peter
中科院分区：
文献类型：
--
作者：
Gonze, Didier;Ruoff, Peter
在20世纪60年代，Brian Goodwin发表了几个数学模型，展示了反馈抑制如何导致振荡，并讨论了这种行为对细胞生理学的可能影响。他还提出了关于丰富的动态，可能会导致这种生化振荡器之间的耦合的关键思想。古德温的工作激发了一系列理论研究，旨在确定产生极限环振荡的最小机制，并破译生物振荡器的设计原理。三变量Goodwin模型（由Griffith改编）可以被视为一大类生物系统的核心模型，从超昼夜到昼夜节律钟。本文总结了Goodwin的主要思想和结果，并回顾了直接或间接受Goodwin研究结果启发的几个建模工作。
In the 1960's Brian Goodwin published a couple of mathematical models showing how feedback inhibition can lead to oscillations and discussed possible implications of this behaviour for the physiology of the cell. He also presented key ideas about the rich dynamics that may result from the coupling between such biochemical oscillators. Goodwin's work motivated a series of theoretical investigations aiming at identifying minimal mechanisms to generate limit cycle oscillations and deciphering design principles of biological oscillators. The three-variable Goodwin model (adapted by Griffith) can be seen as a core model for a large class of biological systems, ranging from ultradian to circadian clocks. We summarize here main ideas and results brought by Goodwin and review a couple of modeling works directly or indirectly inspired by Goodwin's findings.