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: Cea, J. (eds) Optimization Techniques Modeling and Optimization in the Service of Man Part 1. Optimization Techniques 1975. Lecture Notes in Computer Science, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07622-0_468
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DOI: https://doi.org/10.1007/3-540-07622-0_468
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