Richter O, Vohmann H J, Betz A
Chronobiologia. 1978 Jan-Mar;5(1):56-65.
Glycolysis is the best known biochemical oscillator and suitable for the exploration of the basic features of biological rhythms on a biochemical and mathematical level. Because of our detailed knowledge of its component structure (enzyme kinetics, metabolite pattern) glycolysis can be described by a set of coupled nonlinear differential equations of first order with respect to time, whose individual terms consist of enzyme velocities assuming a steady state hypothesis for the enzymatic forms. Due to the feedback control of PFK by the adenylates the system is able to oscillate. The outcomes of a simplified model, containing only the basic elements of glycolysis, show good agreements with experimental results.