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Related Experiment Videos

Simple and complex spatiotemporal structures in a glycolytic allosteric enzyme model.

Lu Zhang1, Qingyu Gao, Qun Wang

  • 1College of Chemical Technology, China University of Mining and Technology, Xuzhou 221008, PR China.

Biophysical Chemistry
|August 8, 2006
PubMed
Summary

A simple model of glycolysis shows that local disturbances can create transient waves in yeast extracts. These waves can lead to complex spatiotemporal chaos, demonstrating pattern formation in biological systems.

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Area of Science:

  • Biochemistry
  • Chemical Kinetics
  • Nonlinear Dynamics

Background:

  • Glycolysis exhibits complex spatiotemporal dynamics.
  • Reaction-diffusion models are used to study pattern formation in biological systems.

Purpose of the Study:

  • To investigate pattern formation in glycolysis using a reaction-diffusion model.
  • To explore the induction of target waves and spatiotemporal chaos.

Main Methods:

  • Utilized a classical reaction-diffusion model for an allosteric enzyme in glycolysis.
  • Performed detailed simulation studies in a two-dimensional oscillatory medium.

Main Results:

  • A small local perturbation induced transient target waves, consistent with experimental yeast extract findings.

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  • Above-threshold stimulation led to target waves evolving into spatiotemporal chaos.
  • The model supported three distinct spatiotemporal behaviors: stable steady state, periodic oscillations, and chaos, independent of boundary conditions.

    • Conclusions:

    • The studied glycolytic reaction-diffusion model can reproduce complex spatiotemporal behaviors.
    • Pattern formation, including target waves and chaos, is a fundamental property of this biochemical system.