DOI: 10.14704/nq.2013.11.3.680

Conscious Events as Possible Consequence of Topological Frustration in Microtubules

Mariusz Pietruszka, Marcin Lipowczan

Abstract


The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of anharmonic potential, which after a simple transformation may yield a so called ‘double well potential’. Because of possible links with conformational changes taking place in microtubules (MT) of human brain neuronal system, to start with, we have calculated the shift of energy levels of a double well potential with respect to the infinite square double well. We conjecture that the dynamic instability of MTs, which has not been elucidated yet, may be the effect of recently proposed mechanism of geometrical frustration, which can also be utilized in case of tubulin dimers forming parallel protofilament subunits in MTs and for modeling the cognitive brain processes.

NeuroQuantology | September 2013 | Volume 11 | Issue 3 | Page 426-430

Keywords


double well potential; dynamic instability; transition zone; tubulin dimers

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References


Cheung CL, Kurtz A, Park H, Lieber CM. Diameter-Controlled Synthesis of Carbon Nanotubes. J Phys Chem B 2002; 106: 2429-2433.

Craddock TJA, Tuszyński JA, Hameroff S. Cytoskeletal signaling: Is memory encoded in microtubule lattices by CAMKII phosphorylation? PLoS Comput Biol 2012; 8(3): e1002421.

Deutsch D. Quantum Theory, the Church-Turing Principle and the Universal Quantum Computer. Proc R Soc London, Ser. A 1985; 400: 97. doi: 10.1098/ rspa.1985.0070

Engel GS, Calhoun TR, Read EL, Ahn TK, Mancal YC, Cheng RE, Blankenship RE, Fleming GR. Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems. Nature 2007; 446: 782-786.

Feynman RP. Simulating physics with computers. Int J Theor Phys 1982; 21: 467

Horodecki R, Horodecki P, Horodecki M, Horodecki K. Quantum entanglement. eprint quant-ph/0/02225v2, 2007.

Hameroff S, Penrose R. Conscious events as orchestrated space-time selection. NeuroQuantology 2003; 1: 10-35.

Hameroff S. Orchestrated Reduction of Quantum Coherence in Brain Microtubules: A Model for Consciousness. NeuroQuantology 2007; 5(1):1-8.

Huelga SF, Plenio MB. Vibrations, quanta and biology. arXiv: 1307.3530v1, 2013.

Jelic V, Marsiglio F. The double well potential in quantum mechanics: a simple, numerically exact formulation. arXiv: 1209.2521v1, 2012.

Lloyd S. Capacity of the Noisy Quantum Channel. Physical Review A 1997; 55: 1613-22, eprint quant-ph/9604015.

Marsiglio F. The harmonic oscillator in quantum mechanics: A third way. arXiv: 0806.3051v2, 2008.

Maśka M, Pietruszka M. On the φ4 field theoretical model for the action potential. J Biol Phys 1995; 21: 211-222.

Mershin A, Kolomenski AA, Schuessler HA, Nanopoulos DV. Tubulin dipole moment, dielectric constant and quantum behavior: computer simulations, experimental results and suggestions. BioSystems 2004; 77: 73–85.

Mitchison TJ, Kirschner MW. Dynamic instability of microtubule growth. Nature 1984; 312: 237-242.

Penrose R. The Emperor’s New Mind. Oxford University Press, New York, 1989.

Penrose R. In The Large, the Small and the Human Mind, edited by M. Longair. Cambridge University Press, Cambridge, England, 1997.

Pietruszka M. Frustration – induced inherent instability and growth oscillations in pollen tubes. arXiv: 1211.1143, 2012.

Pietruszka M. Pressure – induced cell wall instability and growth oscillations in pollen tubes. PLoS ONE, in press, 2013.

Pietruszka M, Lipowczan M, Geitmann A. Persistent symmetry frustration in pollen tubes. PloS ONE 2012; 7(11): e48087.

Shor PW. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput 1997; 26(5): 1484–1509.

Tegmark M. Importance of quantum decoherence in brain processes. Phys Rev E 2000; 61: 4194-4206.

Trpisova B, Tuszyński JA. Possible link between guanosine 5’ triphosphate hydrolysis and solitary waves in microtubules. Phys Rev E 1997; 55: 3288-3305.

Wei C, Lintilhac PM. Loss of stability: a new look at the physics of cell behavior during plant cell growth. Plant Physiol 2007; 145: 763-772.


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Relevant conflicts of interest/financial disclosures: Nothing to report.



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