Large River Effect or Frozen Kinetics: How Complex Nonlinear Living Systems Solve Optimization Problems.

Area of Science:

• Physics and Biology
• Theoretical Ecology
• Complex Systems Dynamics

Background:

• Natural selection involves population adaptation to environmental conditions, representable as trajectory attraction in phenotype space.
• Ecological niches can be mathematically modeled as 'survival coefficients,' linked to energy potentials, bridging biological and physical frameworks.

Purpose of the Study:

• To introduce the concept of trajectories attraction in phase space as a general phenomenon in nature.
• To link biological adaptation processes, like natural selection, with physical concepts of energy potentials.
• To explore the implications of complex potentials and the 'large river effect' on evolutionary dynamics.

Main Methods:

• Mathematical modeling of ecological niches as survival coefficients and energy potentials.
• Analysis of evolutionary dynamics in multi-dimensional complex potentials.
• Investigation of the 'large river effect' and 'frozen kinetics' phenomena.

Main Results:

• Demonstrated that adaptation in natural selection can be viewed as trajectory attraction in phenotype space.
• Established a link between biological survival coefficients and physical energy potentials.
• Identified the 'large river effect' as a cause for extremely slow evolutionary stages near adaptation completion.
• Highlighted the relevance of 'frozen kinetics' to diverse physical and biological processes.

Conclusions:

• The framework of trajectories attraction provides a unified approach to understanding biological and physical processes.
• The 'large river effect' and 'frozen kinetics' offer insights into slow evolutionary dynamics and system behaviors.
• Interdisciplinary approaches linking physics and biology are crucial for solving complex natural phenomena.