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Towards Modeling of Epigenetic Evolution with the Aid of Theory of Open Quantum Systems
Tokyo University of Science .
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematics)
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
Tokyo University of Science.
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2012 (English)In: Quantum Theory: Reconsideration of Fundations 6 / [ed] Khrennikov, A; Atmanspacher, H; Migdall, A; Polyakov, S, American Institute of Physics (AIP), 2012, volume 1508, 75-78 p.Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2012, volume 1508. 75-78 p.
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1508
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-28172DOI: 10.1063/1.4773118Scopus ID: 2-s2.0-84874211396ISBN: 978-0-7354-1126-5 (print)OAI: oai:DiVA.org:lnu-28172DiVA: diva2:640954
Conference
International Conference on Quantum Theory - Reconsideration of Foundations-6 (QTRF6), Växjö, JUN 11-14, 2012
Projects
mathematical modeling
Available from: 2013-08-14 Created: 2013-08-14 Last updated: 2016-05-03Bibliographically approved

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Basieva, IrinaKhrennikov, Andrei

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CiteExportLink to record
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  • apa
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