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[The Catastrophe theory and membrane physiological functions].

J Viret1

  • 1Unité de Biophysique du CRSSA, La Tronche, France.

Acta Biotheoretica
|September 1, 1992
PubMed
Summary
This summary is machine-generated.

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This study models biomembrane function using Catastrophe Theory, revealing a cyclic process with four stages. This topological model explains physiological acts like action potentials and endocytosis.

Area of Science:

  • Biophysics
  • Theoretical Biology
  • Biochemistry

Context:

  • Builds upon a preliminary topological model of biomembranes using Thom's Catastrophe Theory.
  • Introduces the 'swallowtail bifurcation set' to describe biomembrane structural states controlled by attractors.

Purpose:

  • To extend the topological model of biomembranes to describe cyclic membrane function.
  • To conceptualize physiological acts as part of a larger cyclic membrane process.
  • To apply this model to physiological examples and pathological changes.

Summary:

  • The physiological act involves a shift between hydrophilic and hydrophobic attractors.
  • Cyclic membrane function comprises four stages: two structural (within the swallowtail model) and two functional (physiological act and refractory stages).

Related Experiment Videos

  • The model is applied to explain action potentials and endocytosis, and to discuss pathological alterations.

    • Impact:

    • Provides a novel theoretical framework for understanding dynamic biomembrane behavior.
    • Offers insights into the mechanisms underlying physiological processes at the membrane level.
    • Suggests potential for analyzing disease-related changes in membrane function.