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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.
Chaos (Woodbury, N.Y.)
|July 9, 2021
Summary
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.
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.
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