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

Z. Grossman, I. Gumowski

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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.

Original languageEnglish
Title of host publicationOptimization Techniques
Subtitle of host publicationModeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference
EditorsJean Cea
PublisherSpringer Verlag
Number of pages10
ISBN (Print)9783540076223
StatePublished - 1976
Externally publishedYes
Event7th IFIP Conference on Optimization Techniques, 1975 - Nice, France
Duration: 8 Sep 197512 Sep 1975

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume40 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference7th IFIP Conference on Optimization Techniques, 1975


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