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Updated: Nov 11, 2025

Visualizing Visual Adaptation
Published on: April 24, 2017
Dynamic and thermodynamic models of adaptation
A N Gorban1, T A Tyukina2, L I Pokidysheva3
1Department of Mathematics, University of Leicester, Leicester, UK; Lobachevsky University, Nizhni Novgorod, Russia.
Biological adaptation integrates engineering and physics, revealing a universal crisis effect where correlation and variance increase before stress symptoms appear across diverse systems. This finding spans decades of research and various life forms.
Area of Science:
- Interdisciplinary science integrating biology, physics, engineering, and mathematics.
- Focus on biological adaptation and system dynamics.
Background:
- Early work by Cannon (1932) applied engineering principles to biological regulation.
- Selye (1938) introduced the concept of 'adaptation energy,' linking it to thermodynamics.
- The study of adaptation dynamics evolved from phenomenological theories to mathematical modeling.
Purpose of the Study:
- To explore the mathematical and physical models of biological adaptation.
- To highlight the universal effect of increased correlation and variance during adaptation crises.
- To review recent experimental findings and theoretical developments in adaptation research.
Main Methods:
- Analysis of historical concepts of biological adaptation, including Cannon's regulation and Selye's adaptation energy.
- Examination of studies on the dynamics of correlation and variance in adapting systems.
- Review of various modeling approaches: thermodynamic-like theories, hidden attractor bifurcation, and advection-diffusion models.
Main Results:
- Discovery of a universal effect: increased correlation and variance precede visible stress symptoms in adapting systems.
- Empirical support for this effect across diverse systems: humans, mice, plants, and financial markets.
- Recent advancements include applications in gene networks, cardiology, oncology, depression, and psychotherapy.
Conclusions:
- Biological adaptation is a complex phenomenon with deep roots in physical and mathematical sciences.
- The identified universal crisis effect provides a powerful predictive tool for system instability.
- Ongoing research continues to refine models and expand experimental validation across multiple disciplines.
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