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Quantum-like environment adaptive model for creation of phenotype
Andrei Khrennikov1, Satoshi Iryama2, Irina Basieva1
1Linnaeus University, International Center for Mathematical Modeling in Physics and Cognitive Sciences Växjö, SE-351 95, Sweden.
Bio Systems
|July 4, 2024
Summary
This study models phenotype creation using quantum-like adaptive dynamics theory. It reveals how environmental adaptation, described by quantum master equations, leads to stable phenotypes with initial entropy increase followed by a decrease.
Area of Science:
- * Theoretical Biology
- * Quantum Information Science
- * Biophysics
Background:
- * The traditional model of phenotype creation is "genotype (G) + environment (E) + genotype & environment interactions (GE) ↦ phenotype (Ph)".
- * Open quantum systems theory (OQST) and adaptive dynamics theory (ADT) offer a quantum-like framework for modeling biological systems.
- * This approach treats biological entities like genotypes and phenotypes as information processors governed by quantum information theory principles.
Purpose of the Study:
- * To model phenotype creation using quantum-like adaptive dynamics theory.
- * To apply quantum formalism and methodology outside of physics to macroscopic biosystems.
- * To review the methods and mathematical apparatus of quantum information biology.
Main Methods:
- * Modeling phenotype creation using open quantum systems theory (OQST) and adaptive dynamics theory (ADT).
- * Employing the quantum master equation, specifically the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation, to describe environment-adaptation processes.
- * Utilizing quantum measurement theory, including positive operator valued measures (POVMs), to model phenotypic traits as generally unsharp observables.
Main Results:
- * Phenotypes emerge as stationary states of the GKSL dynamics.
- * A specific class of GKSL dynamics exhibits "camel-like" entropy graphs, where phenotype entropy (disorder) initially increases and then decreases during adaptation, leading to a stable, ordered phenotype.
- * Organismal traits are modeled as unsharp observables using POVMs within quantum measurement theory.
Conclusions:
- * Quantum-like modeling provides a powerful framework for understanding complex biological processes like phenotype creation.
- * The GKSL dynamics and entropy behavior offer insights into the development of stable and ordered phenotypes through environmental adaptation.
- * This work highlights the growing interdisciplinary field of quantum information biology and its potential applications.
Keywords:
Adaptive dynamicsGenotypeOpen quantum systemsPhenotypeQuantum-like modelSuperpositionTrait observableMore Related Videos
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