Self-Substained Oscillations in the Jacob-Monod Mode of Gene Regulation

When pure delays are introduced into the Goodwin model of the Jacob-Monod mode of gene regulation, self-sustained stable periodic oscillations are found to exist in a wide parameter range, the parameters characterizing reaction rates, product synthesis, and transport times. Constant and concentration-dependent delays are both found to be primary causes of periodic oscillations.

[1]  B. Hess,et al.  Oscillatory phenomena in biochemistry. , 1971, Annual review of biochemistry.

[2]  B. Goodwin.  Oscillatory behavior in enzymatic control processes. , 1965, Advances in enzyme regulation.

[3]  J. Monod,et al.  Teleonomic mechanisms in cellular metabolism, growth, and differentiation. , 1961, Cold Spring Harbor symposia on quantitative biology.

[4]  E. Sel'kov,et al.  Self-oscillations in glycolysis. 1. A simple kinetic model. , 1968, European journal of biochemistry.

[5]  B. Goodwin.  Temporal organization in cells , 1963 .

[6]  J. Higgins,et al.  THE CONTROL THEORETIC APPROACH TO THE ANALYSIS OF GLYCOLYTIC OSCILLATORS , 1973 .

[7]  B. Goodwin.  Control dynamics of beta-galactosidase in relation to the bacterial cell cycle. , 1969, European journal of biochemistry.

[8]  A. Fraser,et al.  Genetic regulation by feedback repression. , 1973, Journal of theoretical biology.

[9]  W A Knorre,et al.  Oscillations of the rate of synthesis of beta-galactosidase in Escherichia coli ML 30 and ML 308. , 1968, Biochemical and biophysical research communications.

[10]  Britton Chance,et al.  Biological and biochemical oscillators , 1973 .