Abstract
The effects of diffusion on the dynamics of biochemical oscillators are investigated for general kinetic mechanisms and for a simplified model of glycolysis. When diffusion is sufficiently rapid a population of oscillators relaxes to a globally-synchronized oscillation, but when diffusion of one or more species is slow enough, the synchronized oscillation can be unstable and a nonuniform steady state or an asynchronous oscillation can arise. The significance of these results vis-a-vis models of contact inhibition and zonation patterns is discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 305-350 |
| Number of pages | 46 |
| Journal | Journal of Mathematical Biology |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1977 |
Keywords
- Biochemical oscillators
- Diffusion coupling