Literature DB >> 2911564

Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass.

E Di Cera1, P E Phillipson, J Wyman.   

Abstract

A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors. Limit-cycle oscillations are possible over a wide range of parameter values. Additionally, a cascade of period-doubling bifurcations leading to chaos can coexist with a multiplicity of stable steady states. These results draw attention to the role of unbuffering as a feedback in biochemical systems.

Mesh:

Year:  1989        PMID: 2911564      PMCID: PMC286420          DOI: 10.1073/pnas.86.1.142

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  10 in total

1.  The turning wheel: a study in steady states.

Authors:  J Wyman
Journal:  Proc Natl Acad Sci U S A       Date:  1975-10       Impact factor: 11.205

2.  Transitions between oscillatory modes in a glycolytic model system.

Authors:  M Markus; B Hess
Journal:  Proc Natl Acad Sci U S A       Date:  1984-07       Impact factor: 11.205

3.  Chemical oscillations in closed macromolecular systems.

Authors:  E Di Cera; P E Phillipson; J Wyman
Journal:  Proc Natl Acad Sci U S A       Date:  1988-08       Impact factor: 11.205

4.  Binding capacity: cooperativity and buffering in biopolymers.

Authors:  E Di Cera; S J Gill; J Wyman
Journal:  Proc Natl Acad Sci U S A       Date:  1988-01       Impact factor: 11.205

5.  Canonical formulation of linkage thermodynamics.

Authors:  E Di Cera; S J Gill; J Wyman
Journal:  Proc Natl Acad Sci U S A       Date:  1988-07       Impact factor: 11.205

Review 6.  Oscillatory phenomena in biochemistry.

Authors:  B Hess; A Boiteux
Journal:  Annu Rev Biochem       Date:  1971       Impact factor: 23.643

7.  Dissipative structures for an allosteric model. Application to glycolytic oscillations.

Authors:  A Goldbeter; R Lefever
Journal:  Biophys J       Date:  1972-10       Impact factor: 4.033

8.  Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.

Authors:  O Decroly; A Goldbeter
Journal:  Proc Natl Acad Sci U S A       Date:  1982-11       Impact factor: 11.205

Review 9.  Chaos in biological systems.

Authors:  L F Olsen; H Degn
Journal:  Q Rev Biophys       Date:  1985-05       Impact factor: 5.318

10.  Chaotic dynamics in yeast glycolysis under periodic substrate input flux.

Authors:  M Markus; D Kuschmitz; B Hess
Journal:  FEBS Lett       Date:  1984-07-09       Impact factor: 4.124

  10 in total
  2 in total

1.  Periodic orbits in glycolytic oscillators: from elliptic orbits to relaxation oscillations.

Authors:  T Roy; J K Bhattacharjee; A K Mallik
Journal:  Eur Phys J E Soft Matter       Date:  2011-02-28       Impact factor: 1.890

2.  Evolutionary games of condensates in coupled birth-death processes.

Authors:  Johannes Knebel; Markus F Weber; Torben Krüger; Erwin Frey
Journal:  Nat Commun       Date:  2015-04-24       Impact factor: 14.919

  2 in total

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