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Chaotic behavior in excitable systems.

A V Holden1, M J Lab

  • 1Centre for Nonlinear Studies, University of Leeds, England.

Annals of the New York Academy of Sciences
|January 1, 1990
PubMed
Summary
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This study focuses on biophysically accurate cardiac excitation systems, emphasizing the need for quantitative answers in complex models. Combining experimental data with advanced computational analysis offers a promising path for understanding cardiac tissue dynamics.

Area of Science:

  • Computational biology
  • Biophysics
  • Cardiac electrophysiology

Background:

  • Cardiac excitation systems require biophysically accurate models derived from experimental data.
  • These models are often complex, high-order, and subject to ongoing updates from new experimental findings.
  • Accurate quantitative answers are crucial for understanding biophysically relevant problems in cardiac tissue.

Purpose of the Study:

  • To explore advanced computational methods for analyzing complex dynamics in cardiac tissue models.
  • To integrate experimental data with theoretical analysis for a more comprehensive understanding.
  • To propose an expert system approach for investigating cardiac excitation dynamics.

Main Methods:

  • Utilizing experimentally derived, high-order excitation equations for cardiac tissue.

Related Experiment Videos

  • Employing numerical methods and computer algorithms for model analysis.
  • Leveraging path tracking procedures (e.g., AUTO, PATH) for dynamical systems analysis.
  • Main Results:

    • Highlighting the importance of quantitative analysis in biophysical modeling.
    • Demonstrating the trend towards computer-algorithmic representations of models and analysis methods.
    • Identifying the potential of combining voltage clamp data with bifurcation and singularity theory.

    Conclusions:

    • Suggests combining model formulation from voltage clamp data with dynamical systems analysis.
    • Proposes the development of an expert system for investigating complex dynamics in cardiac models.
    • Emphasizes the integration of experimental data and theoretical analysis for advancing cardiac electrophysiology research.