European Journal of Biophysics

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Basic Quantum Field Model of the Self-Organization of Microtubules in Eukaryotic Cells

Received: 31 August 2020    Accepted: 13 October 2020    Published: 23 November 2020
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Abstract

The background of this contribution is the ongoing extended debate over quantum effects in the biology since decades. Typical examples of the quantum biology are photosynthesis, enzymatic activities, bird navigation and especially the coherent movement of microtubules. The reason for all these effects is dominantly the quantum coherence of waves. The objective of this contribution is the quantum description of the instability dynamics of microtubules at their assembly and disassembly phases during the interphase. The corresponding theoretical investigations of this article confirm the existence of quantum coherence of microtubules. Experimental results assert such vibrations of microtubules by the observation of γ-waves in the human brain generated by bundles of microtubules. Tubulin subunits and the accessory proteins are of nano size; therefore, they are modeled as field quanta in the framework of non-relativistic quantum field theory. This approach describes the dynamics of these quantum particles and their interactions, by accentuation of their different performances as coherent or incoherent waves. The achieved results strongly depend from the preconditions: whether the fluctuating forces are turned on or turned off. With the inset of fluctuations, the quantum coherence is destroyed, and only incoherent particle solutions are obeyed. Without the impact of fluctuations wave solutions dominate. Another type of wave solution are coherent wave packets which are counter-running, where their superposition can extinct or enhance them. This kind of interfering coherent solutions is applied on the polymerization of protofilaments. The calculations of this contribution demonstrate that the quantum coherence can be only observed when fluctuations are excluded. The conclusion is that that dedicated biological processes must be able to suppress the destroying influences of the local environment. In contrary to technical-based experiments, where coherence is only obtained when the fluctuations are deliberately excluded (e.g. quantum computer). Therefore, the answer why the processes of quantum biology can generate quantum coherence at least in case of microtubules is actually not answered. Kinesins in combination with microtubules are fundamental for cellular functions and morphogenesis. Recent genetic experiments uncovered their role for tumor suppression and developmental patterning. However, these findings which open exciting new areas of kinesin research are not included in this contribution, because the description of the kinesin-microtubule system is to comprehensive for one article.

DOI 10.11648/j.ejb.20200802.17
Published in European Journal of Biophysics (Volume 8, Issue 2, December 2020)
Page(s) 60-75
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Microtubules, Dynamic Instability, Quantum Coherence, Self-Organization

References
[1] Alberts B et al. (2002). Molecular Biology of the Cell. Fifth edition, New York, Garland Science.
[2] Brouhard G J, Rice L M (2018). Microtubules dynamics: an interplay of biochemistry and mechanic. Nature Reviews Molecular Cell Biology 19, 451-463.
[3] Lasser M, Tiber J, and Lowery L A (2018). The Role of the Microtubuls.in Neurodevelopmental Disorders. Frontiers in Cellular Neuroscience, 1-36. https//doi.org/10.3389/fn-cell.201800165.
[4] Latchman, D (1995). Gene Regulation, A Eukaryotic Perspective. Second edition, London, Chapman & Hall.
[5] Lambert N, Chen Y-N, Cheng Y-C, Li C-M, Chen, G-C, Nori, F (2012). Quantum Biology. Nature Physics/Review 9, 1-9.
[6] Penrose R (1995). Shadows of the Mind: A Search for the Missing Science of Consciousness. Oxford, Oxford University Press.
[7] Cantero M del R, Etchegoyen C V, Perez P L, Scarind L, Centiello F (2018). Bundles of Brain Microtubules Generate Electric Oscillations. www.nature.com/scientificreports, 1-10.
[8] Gutschner M (2020). Discovery of Quantum Vibrations in Microtubules inside brain Neurons Corroborates Controversial 20-Year-Old Theory of Consciousness. https://www.elsevier.com, 1-5.
[9] Kapoor V, Hirst W G, Hentschel Ch, Preibisch St, Reber S (2019). MTrack: Automated Detection, Tracking, and Analysis of Dynamic Microtubules. www.nature.com/scientificreports, 1-12.
[10] Haken H, Levi P (2012). Synergetic Agents. Weinheim, Germany, Wiley-VCH Verlag.
[11] Levi P (2015). Molecular quantum robotics: particle and wave solutions, illustrated by “leg-over-leg” walking over microtubules. Frontiers in Neurorobotics, Vol. 9, Article 2, 1-16. doi: 10.3389/fnbot.2015.00002.
[12] Weinberg S (2005). The Quantum Theory of Fields, Vol. I-II Cambridge, Cambridge University Press.
[13] Lodish H, Berk A et al. (2016). Molecular Cell Biology. Fifth edition, New York, Freeman and Company.
[14] Kaneko T, Furuta K Olwa, K, Shintaku H, Kotera H, Yokokawa R (2020). Different motilities of microtubules driven by kinesin 1 and kinesin 14 motors patterned on nanopillars. Science advances, Vol. 6, no. 4., 1-12.
[15] Van Delinder V, Imam Z I, Bachand G (2019). Kinesin motor density and dynamics in gliding microtubules motility. Springer Nature.com, scientific reports, 1-12.
[16] Leng X, Yang Y-M, Zhu R-D, Song C, Weng Y-X, Sui Q (2018). Theoretical Investigations of the Role of Mutations in Dynamics of Kinesin Motor Proteins. J. Phys. Chem B, 122, 17, 453-466.
[17] Hirokawa N, Noda Y, Tanaka Y, Niwa S (2009). Kinesin superfamily motor proteins and intracellular transport. Nature reviews, molecular cell biology, 1-31.
[18] Haken, H (1983). Synergetics, Introduction and Advanced Topics. Berlin, Springer-Verlag.
[19] Haken H (2006). Information and Self-Organization. Third edition. Berlin, Springer-Verlag.
[20] Tzer H T et al. (2020). Topological turbulence in the membrane of a living cell. Letters of Nature Physics, https://doi.org/10.1038/s41567-020-0841-9.
[21] Levi P (2016). A Quantum Field Based approach to describe the Global Molecular Dynamics of Neurotransmitter Cycles. European Journal of Biophysics, Vol. 4, No. 4, 22-41. doi: 10.11648/ej.20180602.12.
[22] Weinberg S (2013). Lectures on Quantum Mechanics. Cambridge, University Press.
[23] Haken H, Wolf H Ch (1994). The Physics of Atoms and Quanta. Fourth edition, Berlin, Springer-Verlag.
[24] Haken H, Wolf H Ch (2004). Molecular Physics and Elements of Quantum Chemistry, Introduction to Experiments and Theory. Second edition, Berlin, Springer-Verlag.
[25] Levi P (2018). Quantum Interactions of Small-Sized Neurotransmitters and of Entangled Ionotropic Receptors Accentuate the Impact of Entanglement to Consciousness. European Journal of Biophysics. Vol. 6, No. 2, 35-52. doi: 10.11648/j.ejb.20180602.12.
[26] Naber G L (1997). Topology, Geometry, and Gauge Fields. Berlin, Springer-Verlag.
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    Paul Levi. (2020). Basic Quantum Field Model of the Self-Organization of Microtubules in Eukaryotic Cells. European Journal of Biophysics, 8(2), 60-75. https://doi.org/10.11648/j.ejb.20200802.17

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    Paul Levi. Basic Quantum Field Model of the Self-Organization of Microtubules in Eukaryotic Cells. Eur. J. Biophys. 2020, 8(2), 60-75. doi: 10.11648/j.ejb.20200802.17

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    Paul Levi. Basic Quantum Field Model of the Self-Organization of Microtubules in Eukaryotic Cells. Eur J Biophys. 2020;8(2):60-75. doi: 10.11648/j.ejb.20200802.17

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  • @article{10.11648/j.ejb.20200802.17,
      author = {Paul Levi},
      title = {Basic Quantum Field Model of the Self-Organization of Microtubules in Eukaryotic Cells},
      journal = {European Journal of Biophysics},
      volume = {8},
      number = {2},
      pages = {60-75},
      doi = {10.11648/j.ejb.20200802.17},
      url = {https://doi.org/10.11648/j.ejb.20200802.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ejb.20200802.17},
      abstract = {The background of this contribution is the ongoing extended debate over quantum effects in the biology since decades. Typical examples of the quantum biology are photosynthesis, enzymatic activities, bird navigation and especially the coherent movement of microtubules. The reason for all these effects is dominantly the quantum coherence of waves. The objective of this contribution is the quantum description of the instability dynamics of microtubules at their assembly and disassembly phases during the interphase. The corresponding theoretical investigations of this article confirm the existence of quantum coherence of microtubules. Experimental results assert such vibrations of microtubules by the observation of γ-waves in the human brain generated by bundles of microtubules. Tubulin subunits and the accessory proteins are of nano size; therefore, they are modeled as field quanta in the framework of non-relativistic quantum field theory. This approach describes the dynamics of these quantum particles and their interactions, by accentuation of their different performances as coherent or incoherent waves. The achieved results strongly depend from the preconditions: whether the fluctuating forces are turned on or turned off. With the inset of fluctuations, the quantum coherence is destroyed, and only incoherent particle solutions are obeyed. Without the impact of fluctuations wave solutions dominate. Another type of wave solution are coherent wave packets which are counter-running, where their superposition can extinct or enhance them. This kind of interfering coherent solutions is applied on the polymerization of protofilaments. The calculations of this contribution demonstrate that the quantum coherence can be only observed when fluctuations are excluded. The conclusion is that that dedicated biological processes must be able to suppress the destroying influences of the local environment. In contrary to technical-based experiments, where coherence is only obtained when the fluctuations are deliberately excluded (e.g. quantum computer). Therefore, the answer why the processes of quantum biology can generate quantum coherence at least in case of microtubules is actually not answered. Kinesins in combination with microtubules are fundamental for cellular functions and morphogenesis. Recent genetic experiments uncovered their role for tumor suppression and developmental patterning. However, these findings which open exciting new areas of kinesin research are not included in this contribution, because the description of the kinesin-microtubule system is to comprehensive for one article.},
     year = {2020}
    }
    

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  • TY  - JOUR
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    JF  - European Journal of Biophysics
    JO  - European Journal of Biophysics
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Author Information
  • Department for Informatics, Faculty for Informatics, Electrical Engineering and Information Technology, University Stuttgart, Institute for Parallel and Distributed Systems, Stuttgart, Germany

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