Chaos and ultradian rhythms

Lloyd, David ORCID: https://orcid.org/0000-0002-5656-0571 1997. Chaos and ultradian rhythms. Biological Rhythm Research 28 (1) , 134--143. 10.1076/brhm.28.1.134.12982

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Abstract

Systems in a chaotic state have apparently random outputs despite a simple underlying kinetic mechanism. For instance, the interaction of two coupled oscillators (the mitotic oscillator and the ultradian clock) can produce chaotic behaviour over a limited range of parameter values. Mathematical modelling shows that physiologically realistic characteristics are thereby exhibited. Cell division cycles of lower eukaryotes (protozoa and yeasts) show both deterministic and stochastic properties. Both dispersion of cell cycle times and quantized values can be generated, as a deterministic chaotic consequence of oscillator interaction rather than from noisy limit cycles. Advantages may stem from chaotic operation; a controlled chaotic attractor could provide multifrequency outputs that determine rhythmic behaviour on different time scales (e.g. ultradian and circadian) with the facility for rapid state changes from one periodicity to another.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Biosciences
Publisher:	Taylor & Francis: STM, Behavioural Science and Public Health Titles
ISSN:	0929-1016
Last Modified:	26 Oct 2022 08:38
URI:	https://orca.cardiff.ac.uk/id/eprint/127943

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