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Lamarckian Evolution of Epigenome from Open Quantum Systems and Entanglement

  • Masanari Asano
  • Irina Basieva
  • Andrei KhrennikovEmail author
  • Masanori Ohya
  • Yoshiharu Tanaka
  • Ichiro Yamato
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8369)

Abstract

We develop a quantum-like (QL) model of cellular evolution based on the theory of open quantum systems and entanglement between epigenetic markers in a cell. This approach is applied to modeling of epigenetic evolution of cellular populations. We point out that recently experimental genetics discovered numerous phenomena of cellular evolution adaptive to the pressure of the environment. In such phenomena epigenetic changes are fixed in one generation and, hence, the Darwinian natural selection model cannot be applied. A number of prominent genetists stress the Lamarckian character of epigenetic evolution. In quantum physics the dynamics of the state of a system (e.g. electron) contacting with an environment (bath) is described by the theory of open quantum systems. Therefore it is natural to apply this theory to model adaptive changes in the epigenome. Since evolution of the Lamarckian type is very rapid – changes in the epigenome have to be inherited in one generation – we have to find a proper mathematical description of such a speed up. In our model this is the entanglement of different epigenetic markers.

Keywords

Entanglement Open quantum systems Epigenetics Cellular evolution Neo-Lamarckism Quantum master equation Markov approximation 

Notes

Acknowledgments

This paper was finished during the visit of A. Khrennikov to the Center of Quantum BioInformatics of Tokyo University of Science, February-March 2013.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Masanari Asano
    • 1
  • Irina Basieva
    • 2
  • Andrei Khrennikov
    • 2
    Email author
  • Masanori Ohya
    • 1
  • Yoshiharu Tanaka
    • 1
  • Ichiro Yamato
    • 3
  1. 1.Department of Information SciencesTokyo University of ScienceNoda-shiJapan
  2. 2.International Center for Mathematical Modeling in Physics and Cognitive SciencesLinnaeus UniversityVäxjöSweden
  3. 3.Department of Biological Science and TechnologyTokyo University of ScienceNoda-shiJapan

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