The Goodwin Model: Behind the Hill Function

@inproceedings{Gonze2013TheGM,
  title={The Goodwin Model: Behind the Hill Function},
  author={Didier Gonze and Wassim Abou-Jaoud{\'e}},
  booktitle={PloS one},
  year={2013}
}
The Goodwin model is a 3-variable model demonstrating the emergence of oscillations in a delayed negative feedback-based system at the molecular level. This prototypical model and its variants have been commonly used to model circadian and other genetic oscillators in biology. The only source of non-linearity in this model is a Hill function, characterizing the repression process. It was mathematically shown that to obtain limit-cycle oscillations, the Hill coefficient must be larger than 8, a… CONTINUE READING

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