Switches, Oscillators (and the Cell Cycle)

Leah Edelstein-Keshet
Thu, May 3, 2012
PIMS, University of British Columbia
Mathematical Cell Biology Summer Course
By incorporating positive and negative feedback into phosphorylation cycles of proteins such as GTPases (described in Lecture 2), one arrives at a biochemical mini-circuits with properties of a switch or an oscillator. I provide examples from papers by Boris Kholodenko. I also show the connection between bistability and hysteresis and relaxation oscillations (e.g. in the Fitzhugh-Nagumo model). I briefly discuss applications of such ideas to models of the cell cycle proposed over the years by John Tyson.