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Attractors and pathological aspects in excitable cells.

B Delord1

  • 1INSERM U483, Université Pierre et Marie Curie (Boîte 23), Paris, France. Bruno.Delord@snv.jussieu.fr

Acta Biotheoretica
|June 16, 2000
PubMed
Summary

This study models cell excitability using a 2D electrical model, revealing various physiological and pathological discharge modes. Findings suggest pathological states may arise from bifurcation or perturbation, offering insights into complex cellular behaviors.

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Area of Science:

  • Computational Biology
  • Biophysics
  • Dynamical Systems Theory

Background:

  • Cellular excitability underlies physiological functions and pathological conditions.
  • Inward persistent conductances play a crucial role in modulating cell excitability.
  • Understanding the dynamics of excitable cells is essential for distinguishing normal and abnormal function.

Purpose of the Study:

  • To investigate physiological and pathological excitability using a 2D electrical model.
  • To analyze the impact of inward persistent conductance on cell discharge modes.
  • To explore the theoretical underpinnings of pathological states in excitable systems.

Main Methods:

  • Development of a two-dimensional electrical model of an excitable cell.
  • Inclusion of a generic inward persistent conductance in the model.

Related Experiment Videos

  • Bifurcation analysis varying maximal conductance, input current, and activation function voltage dependency.

    • Main Results:

    • The model exhibits diverse discharge modes: basic (resting potential, action potential), bistability (resting/spiking, resting/plateau), and pacemaker activity.
    • These modes correlate with experimentally observed physiological and pathological excitability patterns.
    • Attractors provide qualitative descriptions of states but do not allow unambiguous identification of 'physiological' or 'pathological' attractors.

    Conclusions:

    • Pathological states in excitable cells can be modeled via bifurcation or perturbation.
    • The study highlights the relevance of dynamical systems theory for understanding cellular pathology.
    • Further theoretical concepts may be needed for a comprehensive description of pathological states.