Nonlinear dynamics of dipoles in microtubules: Pseudospin model
Abstract
We perform a theoretical study of the dynamics of the electric field excitations in a microtubule by taking into consideration the realistic cylindrical geometry, dipole-dipole interactions of the tubulin-based protein heterodimers, the radial electric field produced by the solvent, and a possible degeneracy of energy states of individual heterodimers. The consideration is done in the frame of the classical pseudospin model. We derive the system of nonlinear dynamical partial differential equations of motion for interacting dipoles and the continuum version of these equations. We obtain the solutions of these equations in the form of snoidal waves, solitons, kinks, and localized spikes. Our results will help to achieve a better understanding of the functional properties of microtubules including the motor protein dynamics and the information transfer processes. Our considerations are based on classical dynamics. Finally, some speculations on the role of possible quantum effects are also made.
- Authors:
-
- Univ. de Guadalajara, Jalisco (Mexico). Centro Univ. de Ciencias Exactas e Ingenierias, Dept. de Fisica
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- King's College London, London (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1458943
- Alternate Identifier(s):
- OSTI ID: 1258706
- Report Number(s):
- LA-UR-16-22690
Journal ID: ISSN 2470-0045; PLEEE8; TRN: US1901532
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 6; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 59 BASIC BIOLOGICAL SCIENCES; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Biological Science
Citation Formats
Nesterov, Alexander I., Ramirez, Monica F., Berman, Gennady P., and Mavromatos, Nick E. Nonlinear dynamics of dipoles in microtubules: Pseudospin model. United States: N. p., 2016.
Web. doi:10.1103/PhysRevE.93.062412.
Nesterov, Alexander I., Ramirez, Monica F., Berman, Gennady P., & Mavromatos, Nick E. Nonlinear dynamics of dipoles in microtubules: Pseudospin model. United States. https://doi.org/10.1103/PhysRevE.93.062412
Nesterov, Alexander I., Ramirez, Monica F., Berman, Gennady P., and Mavromatos, Nick E. Tue .
"Nonlinear dynamics of dipoles in microtubules: Pseudospin model". United States. https://doi.org/10.1103/PhysRevE.93.062412. https://www.osti.gov/servlets/purl/1458943.
@article{osti_1458943,
title = {Nonlinear dynamics of dipoles in microtubules: Pseudospin model},
author = {Nesterov, Alexander I. and Ramirez, Monica F. and Berman, Gennady P. and Mavromatos, Nick E.},
abstractNote = {We perform a theoretical study of the dynamics of the electric field excitations in a microtubule by taking into consideration the realistic cylindrical geometry, dipole-dipole interactions of the tubulin-based protein heterodimers, the radial electric field produced by the solvent, and a possible degeneracy of energy states of individual heterodimers. The consideration is done in the frame of the classical pseudospin model. We derive the system of nonlinear dynamical partial differential equations of motion for interacting dipoles and the continuum version of these equations. We obtain the solutions of these equations in the form of snoidal waves, solitons, kinks, and localized spikes. Our results will help to achieve a better understanding of the functional properties of microtubules including the motor protein dynamics and the information transfer processes. Our considerations are based on classical dynamics. Finally, some speculations on the role of possible quantum effects are also made.},
doi = {10.1103/PhysRevE.93.062412},
journal = {Physical Review E},
number = 6,
volume = 93,
place = {United States},
year = {Tue Jun 21 00:00:00 EDT 2016},
month = {Tue Jun 21 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 2 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Qed-Cavity Model of Microtubules Implies Dissipationless Energy Transfer and Biological Quantum Teleportation
journal, September 2002
- Mavromatos, Nick E.; Mershin, Andreas; Nanopoulos, Dimitri V.
- International Journal of Modern Physics B, Vol. 16, Issue 24
Quantum Field Theory in Condensed Matter Physics
book, January 2010
- Tsvelik, Alexei M.
- Cambridge University Press
Kinklike excitations as an energy-transfer mechanism in microtubules
journal, July 1993
- Satarić, M. V.; Tuszyński, J. A.; Žakula, R. B.
- Physical Review E, Vol. 48, Issue 1
A critical assessment of the information processing capabilities of neuronal microtubules using coherent excitations
journal, June 2009
- Craddock, Travis John Adrian; Tuszynski, Jack A.
- Journal of Biological Physics, Vol. 36, Issue 1
Quantum mechanical aspects of cell microtubules: science fiction or realistic possibility?
journal, July 2011
- Mavromatos, Nick E.
- Journal of Physics: Conference Series, Vol. 306
Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature
journal, February 2010
- Collini, Elisabetta; Wong, Cathy Y.; Wilk, Krystyna E.
- Nature, Vol. 463, Issue 7281
Electrostatics of nanosystems: Application to microtubules and the ribosome
journal, August 2001
- Baker, N. A.; Sept, D.; Joseph, S.
- Proceedings of the National Academy of Sciences, Vol. 98, Issue 18, p. 10037-10041
The topological theory of defects in ordered media
journal, July 1979
- Mermin, N. D.
- Reviews of Modern Physics, Vol. 51, Issue 3
On Quantum Mechanical Aspects of Microtubules
journal, February 1998
- Mavromatos, N. E.; Nanopoulos, D. V.
- International Journal of Modern Physics B, Vol. 12, Issue 05
Quantum-mechanical coherence in cell microtubules: a realistic possibility?
journal, May 1999
- Mavromatos, N. E.
- Bioelectrochemistry and Bioenergetics, Vol. 48, Issue 2
Dielectric polarization, electrical conduction, information processing and quantum computation in microtubules. Are they plausible?
journal, August 1998
- Tuszyński, J. A.; Brown, J. A.; Hawrylak, P.
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 356, Issue 1743
Microtubules in interactions with endogenous d.c. and a.c. fields in living cells
journal, October 1996
- Satarić, M. V.; Pokorny, J.; Fiala, J.
- Bioelectrochemistry and Bioenergetics, Vol. 41, Issue 1
Nonlinear Dynamics of Microtubules: Biophysical Implications
journal, December 2005
- Sataric, M. V.; Tuszynski, J. A.
- Journal of Biological Physics, Vol. 31, Issue 3-4
Nonlinear dynamics of microtubules —A longitudinal model
journal, May 2013
- Zdravković, S.; Satarić, M. V.; Zeković, S.
- EPL (Europhysics Letters), Vol. 102, Issue 3
Dynamics of an electric dipole moment in a stochastic electric field
journal, August 2013
- Band, Y. B.
- Physical Review E, Vol. 88, Issue 2
Multi-level memory-switching properties of a single brain microtubule
journal, March 2013
- Sahu, Satyajit; Ghosh, Subrata; Hirata, Kazuto
- Applied Physics Letters, Vol. 102, Issue 12
Dielectric Measurement of Individual Microtubules Using the Electroorientation Method
journal, May 2006
- Minoura, Itsushi; Muto, Etsuko
- Biophysical Journal, Vol. 90, Issue 10
Quantum Coherence in (Brain) Microtubules and Efficient Energy and Information Transport
journal, December 2011
- Mavromatos, Nick E.
- Journal of Physics: Conference Series, Vol. 329
Molecular dynamics simulations of tubulin structure and calculations of electrostatic properties of microtubules
journal, May 2005
- Tuszyński, J. A.; Brown, J. A.; Crawford, E.
- Mathematical and Computer Modelling, Vol. 41, Issue 10
Ferroelectric behavior in microtubule dipole lattices: Implications for information processing, signaling and assembly/disassembly
journal, June 1995
- Tuszyński, J. A.; Hameroff, S.; Satarić, M. V.
- Journal of Theoretical Biology, Vol. 174, Issue 4
Physical grounds and models of pattern representation and recognition in a neuron cytoskeleton microtubule
journal, December 2011
- Slyadnikov, E. E.
- Technical Physics, Vol. 56, Issue 12
Are microtubules discrete or continuum systems?
journal, September 2014
- Zdravković, S.; Maluckov, A.; Đekić, M.
- Applied Mathematics and Computation, Vol. 242
Nonlinear ionic pulses along microtubules
journal, May 2011
- Sekulić, D. L.; Satarić, B. M.; Tuszynski, J. A.
- The European Physical Journal E, Vol. 34, Issue 5