title: A model of epigenetic evolution based on theory of open quantum systems.
abstract: We present a very general model of epigenetic evolution unifying (neo-)Darwinian and (neo-)Lamarckian viewpoints. The evolution is represented in the form of adaptive dynamics given by the quantum(-like) master equation. This equation describes development of the information state of epigenome under the pressure of an environment. We use the formalism of quantum mechanics in the purely operational framework. (Hence, our model has no direct relation to quantum physical processes inside a cell.) Thus our model is about probabilities for observations which can be done on epigenomes and it does not provide a detailed description of cellular processes. Usage of the operational approach provides a possibility to describe by one model all known types of cellular epigenetic inheritance.
authors.affiliation: Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba 278-8510 Japan.
authors.forename: Masanari
authors.initials: M
authors.lastname: Asano
authors.affiliation: International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, 35195 Växjö, Sweden.
authors.forename: Irina
authors.initials: I
authors.lastname: Basieva
authors.affiliation: International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, 35195 Växjö, Sweden.
authors.forename: Andrei
authors.initials: A
authors.lastname: Khrennikov
authors.affiliation: Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba 278-8510 Japan.
authors.forename: Masanori
authors.initials: M
authors.lastname: Ohya
authors.affiliation: Department of Information Sciences, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba 278-8510 Japan.
authors.forename: Yoshiharu
authors.initials: Y
authors.lastname: Tanaka
authors.affiliation: Department of Biological Science and Technology, Tokyo University of Science, Yamasaki 2641, Noda-shi, Chiba 278-8510 Japan.
authors.forename: Ichiro
authors.initials: I
authors.lastname: Yamato
keywords: Cellular epigenetic evolution; Epigenetic markers; Neo-Darwinism; Neo-Lamarckism; Open quantum systems; Quantum-like operational model