Self-sustained oscillations in the Jacob-monod mode of gene regulation

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Abstract

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.

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Grossman, Z., & Gumowski, I. (1976). Self-sustained oscillations in the Jacob-monod mode of gene regulation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 40 LNCS, pp. 145–154). Springer Verlag. https://doi.org/10.1007/3-540-07622-0_468

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