The Goodwin Oscillator and its Legacy

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.

Automated summary

Brian Goodwin's work explores how feedback inhibition can lead to oscillations and reveals the rich dynamics of coupling between biochemical oscillators. His research has inspired theoretical investigations to identify minimal mechanisms for generating oscillations and deciphering design principles of biological oscillators. The Goodwin model, particularly the three-variable version adapted by Griffith, serves as a core model for a wide range of biological systems, from ultradian to circadian clocks.