Transfer function analysis of an oscillatory model chemical system

Oscillation occurring in the time course of a particular model reaction system is examined, utilizing the transfer function method of analysis developed in a previous paper. System properties predicted by the analytic technique correspond with those observed in analog computer solutions of the kinet...

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Bibliographic Details
Published inJournal of theoretical biology Vol. 16; no. 3; pp. 381 - 405
Main Authors Spangler, Robert A., Snell, Fred M.
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 01.09.1967
Subjects
Models, Theoretical
Oscillometry
Periodicity
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Summary:Oscillation occurring in the time course of a particular model reaction system is examined, utilizing the transfer function method of analysis developed in a previous paper. System properties predicted by the analytic technique correspond with those observed in analog computer solutions of the kinetic equations describing the system. The transfer function approach provides kinetic criteria for the existence of oscillation in terms of loop gain and phase shift, and elucidates the relation between oscillation and bistability, or flip-flop behavior. Although formulated to be biologically feasible, the model oscillating system is purely hypothetical, and is presented primarily as a basis for the development of general principles concerning periodicity and instability in complex reaction systems.
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ISSN:0022-5193
1095-8541
DOI:10.1016/0022-5193(67)90063-X