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Intermittency route to chaos in a biochemical system
I M De la Fuente1, L Martinez, J Veguillas
1Department of Cell Biology and Morphological Sciences, School of Medicine, Leioa, Vizcaya, Spain.
Bio Systems
|January 1, 1996
Summary
This study analyzes a glycolytic model, revealing an intermittency route to chaos. Variations in delay time and substrate frequency show a novel transition to chaos in biochemical systems.
Area of Science:
- Biochemistry
- Theoretical Biology
- Nonlinear Dynamics
Background:
- Glycolysis is a fundamental metabolic pathway.
- Understanding chaotic dynamics in biochemical systems is crucial for cellular function.
- Previous models often simplify or omit time delays.
Purpose of the Study:
- To investigate the route to chaos in a glycolytic model.
- To explore the impact of time delays on system dynamics.
- To identify novel transitions to chaos in biochemical systems.
Main Methods:
- Numerical analysis of a system of three differential-delay equations.
- Modeling variations in delay time under constant input flux.
- Modeling frequency variations of periodic substrate input flux.
Main Results:
- The glycolytic model exhibits an intermittency route to chaos.
- Variations in delay time lead to a unique transition to chaos.
- Modulating substrate input frequency also induces a distinct chaotic transition.
- The observed transitions differ from the established Feigenbaum route.
Conclusions:
- Time delays play a significant role in the emergence of chaos in glycolytic models.
- Biochemical systems can exhibit novel routes to chaos beyond known bifurcations.
- This research offers new insights into the complex dynamics of metabolic pathways.