Literature DB >> 267326

Oscillation and chaos in physiological control systems.

M C Mackey, L Glass.   

Abstract

First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle oscillations, with a variety of wave forms, and apparently aperiodic or "chaotic" solutions. These results are discussed in relation to dynamical respiratory and hematopoietic diseases.

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Year:  1977        PMID: 267326     DOI: 10.1126/science.267326

Source DB:  PubMed          Journal:  Science        ISSN: 0036-8075            Impact factor:   47.728


  139 in total

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2.  A genomewide oscillation in transcription gates DNA replication and cell cycle.

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Review 3.  Nonlinear dynamics in clinical pharmacology: the paradigm of cortisol secretion and suppression.

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Journal:  Chaos       Date:  2011-12       Impact factor: 3.642

6.  Analysis of unstable behavior in a mathematical model for erythropoiesis.

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7.  Control design for sustained oscillation in a two-gene regulatory network.

Authors:  Roderick Edwards; Sehjeong Kim; P van den Driessche
Journal:  J Math Biol       Date:  2010-04-27       Impact factor: 2.259

8.  Diurnal rhythm in endogenous glucose production is a major contributor to fasting hyperglycaemia in type 2 diabetes. Suprachiasmatic deficit or limit cycle behaviour?

Authors:  J Radziuk; S Pye
Journal:  Diabetologia       Date:  2006-05-16       Impact factor: 10.122

9.  Application of the correlation integral to respiratory data of infants during REM sleep.

Authors:  B Pilgram; W Schappacher; W N Löscher; G Pfurtscheller
Journal:  Biol Cybern       Date:  1995       Impact factor: 2.086

Review 10.  The pedestrian watchmaker: genetic clocks from engineered oscillators.

Authors:  Natalie A Cookson; Lev S Tsimring; Jeff Hasty
Journal:  FEBS Lett       Date:  2009-12-17       Impact factor: 4.124

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