Literature DB >> 6615915

The circadian locomotor rhythm of Hemideina thoracica (Orthoptera; Stenopelmatidae): a population of weakly coupled feedback oscillators as a model of the underlying pacemaker.

N D Christensen, R D Lewis.   

Abstract

A control systems model consisting of a population of weakly-coupled feedback oscillators has been developed to simulate the circadian locomotor rhythm of the insect, Hemideina thoracica (Orthoptera; Stenopelmatidae). The model is an extension of a previously published single oscillator feedback model (Gander and Lewis, 1979) which successfully simulates entrainment, phase response curves, temperature compensation and Aschoff's Rule for Hemideina activity rhythms. The population model described here has the additional properties of predicting some of the free-run period lability (Pavlidis, 1978a, b) observed in the Hemideina rhythm (Christensen and Lewis, 1982) which is unexplained by single oscillator systems. Model behaviour is compared with the experimental data derived from the insect activity rhythms.

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Year:  1983        PMID: 6615915     DOI: 10.1007/bf00337006

Source DB:  PubMed          Journal:  Biol Cybern        ISSN: 0340-1200            Impact factor:   2.086


  6 in total

1.  A feedback model for biological rhythms. I. Mathematical description and basic properties of the model.

Authors:  A Johnsson; H G Karlsson
Journal:  J Theor Biol       Date:  1972-07       Impact factor: 2.691

2.  A feedback model for biological rhythms. II. Comparisons with experimental results, especially on the petal rhythm of Kalanchoë.

Authors:  H G Karlsson; A Johnsson
Journal:  J Theor Biol       Date:  1972-07       Impact factor: 2.691

3.  Populations of biochemical oscillators as circadian clocks.

Authors:  T Pavlidis
Journal:  J Theor Biol       Date:  1971-11       Impact factor: 2.691

4.  What do mathematical models tell us about circadian clocks?

Authors:  T Pavlidis
Journal:  Bull Math Biol       Date:  1978       Impact factor: 1.758

5.  Qualitative similarities between the behavior of coupled oscillators and circadian rhythms.

Authors:  T Pavlidis
Journal:  Bull Math Biol       Date:  1978       Impact factor: 1.758

6.  Biological rhythms and the behavior of populations of coupled oscillators.

Authors:  A T Winfree
Journal:  J Theor Biol       Date:  1967-07       Impact factor: 2.691

  6 in total

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