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Literature DB >> 8913578

Quasiperiodicity route to chaos in a biochemical system.

I Martinez de la Fuente¹, L Martinez, J Veguillas, J M Aguirregabiria.

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.

Mesh：

Year: 1996 PMID： 8913578 PMCID： PMC1233727 DOI： 10.1016/S0006-3495(96)79431-6

Source DB: PubMed Journal: Biophys J ISSN： 0006-3495 Impact factor: 4.033

6 in total

1. Properties of strange attractors in yeast glycolysis.

Authors: M Markus; D Kuschmitz; B Hess
Journal: Biophys Chem Date: 1985-06 Impact factor: 2.352

2. Intermittency route to chaos in a biochemical system.

Authors: I M De la Fuente; L Martinez; J Veguillas
Journal: Biosystems Date: 1996 Impact factor: 1.973

3. Dynamic behavior in glycolytic oscillations with phase shifts.

Authors: I Martinez de la Fuente; L Martinez; J Veguillas
Journal: Biosystems Date: 1995 Impact factor: 1.973

4. The stimulation of yeast phosphofructokinase by fructose 2,6-bisphosphate.

Authors: R Bartrons; E Van Schaftingen; S Vissers; H G Hers
Journal: FEBS Lett Date: 1982-06-21 Impact factor: 4.124

5. Oscillations and efficiency in glycolysis.

Authors: P H Richter; J Ross
Journal: Biophys Chem Date: 1980-12 Impact factor: 2.352

6. 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

6 in total

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2. Global self-regulation of the cellular metabolic structure.

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Review 3. Quantitative analysis of cellular metabolic dissipative, self-organized structures.

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4. The metabolic core and catalytic switches are fundamental elements in the self-regulation of the systemic metabolic structure of cells.

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5. Quantitative analysis of the effective functional structure in yeast glycolysis.

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6. Elements of the cellular metabolic structure.

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Review 7. Self-Organization and Information Processing: From Basic Enzymatic Activities to Complex Adaptive Cellular Behavior.

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