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

Z. Grossman; I. Gumowski

doi:10.1007/3-540-07622-0_468

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Optimization Techniques
Subtitle of host publication	Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference
Editors	Jean Cea
Publisher	Springer Verlag
Pages	145-154
Number of pages	10
ISBN (Print)	9783540076223
DOIs	https://doi.org/10.1007/3-540-07622-0_468
State	Published - 1976
Externally published	Yes
Event	7th IFIP Conference on Optimization Techniques, 1975 - Nice, France Duration: 8 Sep 1975 → 12 Sep 1975

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	40 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th IFIP Conference on Optimization Techniques, 1975
Country/Territory	France
City	Nice
Period	8/09/75 → 12/09/75

Access to Document

10.1007/3-540-07622-0_468

Cite this

Grossman, Z., & Gumowski, I. (1976). Self-sustained oscillations in the Jacob-monod mode of gene regulation. In J. Cea (Ed.), Optimization Techniques: Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference (pp. 145-154). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 40 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-07622-0_468

Grossman, Z. ; Gumowski, I. / Self-sustained oscillations in the Jacob-monod mode of gene regulation. Optimization Techniques: Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference. editor / Jean Cea. Springer Verlag, 1976. pp. 145-154 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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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 J Cea (ed.), Optimization Techniques: Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 40 LNCS, Springer Verlag, pp. 145-154, 7th IFIP Conference on Optimization Techniques, 1975, Nice, France, 8/09/75. https://doi.org/10.1007/3-540-07622-0_468

Self-sustained oscillations in the Jacob-monod mode of gene regulation. / Grossman, Z.; Gumowski, I.

Optimization Techniques: Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference. ed. / Jean Cea. Springer Verlag, 1976. p. 145-154 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 40 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Grossman Z, Gumowski I. Self-sustained oscillations in the Jacob-monod mode of gene regulation. In Cea J, editor, Optimization Techniques: Modeling and Optimization in the Service of Man - Proceedings, 7th IFIP Conference. Springer Verlag. 1976. p. 145-154. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-07622-0_468

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

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