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Introduction to Focus Issue: Dynamical disease: A translational approach.

Jacques Bélair1, Fahima Nekka2, John G Milton3

  • 1Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec H3C 3J7, Canada.

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Summary
This summary is machine-generated.

Dynamical Diseases offers a mathematical framework to understand and potentially reverse pathological physiological states by adjusting control parameters. This approach models clinical conditions using dynamical systems theory, aiding in disease avoidance.

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Area of Science:

  • Physiology
  • Mathematical Biology
  • Complex Systems

Background:

  • Dynamical Diseases conceptualizes pathological states as physiological control systems operating outside normal parameter ranges.
  • This framework suggests reversibility of disease by restoring parameters to their normal operating range.
  • The concept draws parallels with bifurcations in dynamical systems, enabling mathematical modeling of clinical conditions.

Discussion:

  • The application of Dynamical Diseases spans cardiac, hematological, and neurological systems.
  • Mathematical modeling allows investigation of parameter changes to prevent pathological states.
  • This field integrates traditional physiological understanding with contemporary data-driven methodologies.

Key Insights:

  • Pathological physiological states can be understood as deviations in control system parameters.
  • Mathematical models based on dynamical systems can predict and guide interventions for disease reversal.
  • The concept provides a unifying framework for diverse physiological and clinical studies.

Outlook:

  • Continued evolution of Dynamical Diseases integrating advanced computational and data-based methods.
  • Expanding applications in personalized medicine and predictive diagnostics.
  • Further exploration of bifurcations and control theory for novel therapeutic strategies.