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Biophysical Journal logoLink to Biophysical Journal
. 1996 Nov;71(5):2375–2379. doi: 10.1016/S0006-3495(96)79431-6

Quasiperiodicity route to chaos in a biochemical system.

I Martinez de la Fuente 1, L Martinez 1, J Veguillas 1, J M Aguirregabiria 1
PMCID: PMC1233727  PMID: 8913578

Abstract

The numerical study of a glycolytic model formed by a system of three delay differential equations reveals a quasiperiodicity route to chaos. When the delay changes in our biochemical system, we can observe the emergence of a strange attractor that replaces a previous torus. This behavior happens both under a constant input flux and when the frequency of the periodic substrate input flux changes. The results obtained under periodic input flux are in agreement with experimental observations.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bartrons R., Van Schaftingen E., Vissers S., Hers H. G. The stimulation of yeast phosphofructokinase by fructose 2,6-bisphosphate. FEBS Lett. 1982 Jun 21;143(1):137–140. doi: 10.1016/0014-5793(82)80290-1. [DOI] [PubMed] [Google Scholar]
  2. De la Fuente I. M., Martinez L., Veguillas J. Intermittency route to chaos in a biochemical system. Biosystems. 1996;39(2):87–92. doi: 10.1016/0303-2647(95)01603-1. [DOI] [PubMed] [Google Scholar]
  3. Markus M., Kuschmitz D., Hess B. Chaotic dynamics in yeast glycolysis under periodic substrate input flux. FEBS Lett. 1984 Jul 9;172(2):235–238. doi: 10.1016/0014-5793(84)81132-1. [DOI] [PubMed] [Google Scholar]
  4. Markus M., Kuschmitz D., Hess B. Properties of strange attractors in yeast glycolysis. Biophys Chem. 1985 Jun;22(1-2):95–105. doi: 10.1016/0301-4622(85)80030-2. [DOI] [PubMed] [Google Scholar]
  5. Martinez de la Fuente I., Martinez L., Veguillas J. Dynamic behavior in glycolytic oscillations with phase shifts. Biosystems. 1995;35(1):1–13. doi: 10.1016/0303-2647(94)01473-k. [DOI] [PubMed] [Google Scholar]
  6. Richter P. H., Ross J. Oscillations and efficiency in glycolysis. Biophys Chem. 1980 Dec;12(3-4):285–297. doi: 10.1016/0301-4622(80)80006-8. [DOI] [PubMed] [Google Scholar]

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