biochemistry Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and ...

, a glycolytic oscillation is the repetitive fluctuation of in the concentrations of metabolites, classically observed experimentally in yeast and muscle. The first observations of oscillatory behaviour in glycolysis were made by Duysens and Amesz in 1957. The problem of modelling glycolytic oscillation has been studied in

control theory Control theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a ...

and dynamical systems since the 1960s since the behaviour depends on the rate of substrate injection. Early models used two variables, but the most complex behaviour they could demonstrate was period oscillations due to the

Poincaré–Bendixson theorem In mathematics, the Poincaré–Bendixson theorem is a statement about the long-term behaviour of orbits of continuous dynamical systems on the plane, cylinder, or two-sphere. Theorem Given a differentiable real dynamical system defined on an op ...

, so later models introduced further variables.

References

{{Biochem-stub Control theory