AIP conference proceedings

Towards modeling of epigenetic evolution with the aid of theory of open quantum systems

Masanari Asano, Irina Basieva, Andrei Yu. Khrennikov, Masanori Ohya, Yoshiharu Tanaka, Ichiro Yamato

Published Jan 1, 2012• 11 citations

Abstract

We apply theory of open quantum systems to modeling of epigenetic evolution. This is an attempt to unify Darwinian and Lamarckian viewpoints on evolution on the basis of a quantum-like model. The state of uncertainty of cell's epigenome is resolved to a stable and inherited epigenetic configuration. This process of evolution and stabilization is described by the quantum master equation (the Gorini-Kossakowski-Sudarshan-Lindblad equation). The initial state of epigenome starting interaction with a new environment is represented as a pure quantum state. It evolves to a steady state solution of the quantum master equation given by a diagonal density matrix. The latter represents the state resulting from a series of epimutations induced by the environment. We use the information interpretation of the wave function which was elaborated by C. Fuchs and A. Zeilinger.

DOI: 10.1063/1.4773118

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