We consider axon as a cylinder that has acoustic waveguide regimes to concentrate the propagated signals with appropriate deformation of membrane areas. The highest temperature results near the cylinder axis that can cause low-frequency (0.1 - 10 kHz) longitudinal vibrations of axon due to thermal expansion of material. These frequency shifts are very sensitive to the changes in surrounding viscosity, calculations are presented. The same resonance frequencies of both parts of neuron (axon and Soma) were calculated based on structures sizes, but anaesthesia effect could be explained by different frequency changes for both neuron parts to anesthetics admixture in surrounding.
Published in | International Journal of Bioorganic Chemistry (Volume 2, Issue 3) |
DOI | 10.11648/j.ijbc.20170203.13 |
Page(s) | 94-101 |
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), 2017. Published by Science Publishing Group |
Neuron, Acoustics, Vibrations, Mathematics, Anesthetics
[1] | Hodgkin, A. L.; A. F. Huxley, “Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo,” J. Physiol. V. 116, pp. 449–472, 1952. |
[2] | Hodgkin, A. L.; A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” J. Physiol., V. 117, pp. 500–544, 1952. |
[3] | Purves D, at all, Ed., “Neuroscience,” by Sinauer Associates, Inc. 2004. |
[4] | Heimburg T. and A. D. Jackson, “On soliton propagation in biomembranes and nerves,” PNAS, V. 102, no. 28, pp. 9790-9795, 2005. |
[5] | Heimburg Thomas, “Physical Properties of Biological Membranes. Chapter for "Encyclopedia of Applied Biophysics," in H. Bohr, Ed. Wiley-VCH, Weinheim, pp. 593-616, 2009. |
[6] | Kassahun B. T., A. K. Murashov, M. Bier, “A thermodynamic mechanism behind an action potential and behind anesthesia,” Biophysical Reviews and Letters Vol. 5, No. 1 pp. 35-41, 2010. |
[7] | Wu Di and A. K. Murashov, “MicroRNA-431 regulates axon regeneration in mature sensory neurons by targeting the Wnt antagonist Kremen 1,” Frontiers in Molecular Neuroscience, V. 6, Article 35, Oct. 2013. |
[8] | Lacroix J. J., F. V. Campos, L. Frezza, F. Bezanilla, “Molecular Bases for the Asynchronous Activation of Sodium and Potassium Channels Required for Nerve Impulse Generation,” Neuron, V. 79, no 4, pp. 651–657, 2013. |
[9] | Guixue Bu, H. Adams, E. J. Berbari, M. Rubart, “Uniform Action Potential Repolarization within the Sarcolemma of In Situ Ventricular Cardiomyocytes,” Biophysical Journal V. 96, pp. 2532–2546, 2009. |
[10] | Kaufmann, K. “On the role of the phospholipid membrane in free energy coupling,” Caruaru, Brazil 1989. |
[11] | Giering K., Minet O., Lamprecht I., Muller G. “Review of thermal properties of biological tissues,” in “Laser induced interstitial thermotherapy” Ed. by Muller G. J., Roggan A. SPIE, pp. 45 – 65. 1995. |
[12] | Al Martini, Frederic Et., “Anatomy and Physiology” 2007 Ed. 2007 Edition. Rex Bookstore, Inc. p. 288, 2007. |
[13] | Carslaw H. S., J. C. Jager, “Conduction of heat in solids”, Nauka, Moscow, 487p., 1964. |
[14] | Abranowitz M. and I. S. Stegun, ‘Handbook of mathematical function’, Nauka, Moscow, 830p., 1979. |
[15] | Filippov. A. P. “Vibrations of the deformed systems”, Mashinostroenie, Moscow, 734p., 1970. |
[16] | TTulaikova T., S. Amirova, Hannes Bleuler and Philippe Renaud “Optical-Mechanical Method for Measurements in Micro-Technologies,” Proc. of SPIE, V. 5553, pp. 338-347, 2004. |
[17] | Gurchonok G. A., I. A. Djodjua, S. R. Amirova, T. V. Tulaikova., “Using fiber gratings in the short-length sensors based on micromechanical vibrations,” Sensors and Actuators V. A93, pp. 197-203, 2001. |
[18] | Skudrzyk E., “The Foundations of Acoustics: Basic Mathematics and Basic Acoustics,” Springer,-Verlag Wien, New York, 1971. |
[19] | Seip R, P. VanBaren, C. A. Cain, E. S. Ebbini, “ Noninvasive real-time multipoint temperature control for ultrasound phased array treatments,” IEEE Trans. Ultrason. Ferroelec. Freq. Contr., V. 43, no 6, pp 1063-1073, 1996. |
[20] | Photo by UC Regents Davis campus (http://brainmaps.org) [CC BY 3.0 (http://creativecommons.org/licenses/by/3.0)], via Wikimedia Commons. |
[21] | Levenberg, K. “A Method for the Solution of Certain Non-Linear Problems in Least Squares,” Quarterly of Applied Mathematics, 2, pp. 164–168, 1944. |
[22] | Marquardt, D. W. “An Algorithm for Least-Squares Estimation of Nonlinear Parameters", Journal of the Society for Industrial and Applied Mathematics, V. 11, no. 2, pp. 431–440, 1963. |
[23] | Lamb H. “Hydrodynamics,” part. 2, Moscow, NITZ-press, 2003. |
[24] | A. D’Ausilio et al. “Grasping synergies: A motor-control approach to the mirror neuron mechanism”, Phys. Life Rev. March 2015. DOI: 10.1016/j.plrev.2014.11.002. |
[25] | M. M. Mariany et al. “Neuronally-directed effects of RXR activation in a mouse model of Alzheimer disaster”, Scientific reports 7: 42270, 2017. DOI: 10.1038/srep42270. |
[26] | G. C. Van de Bittner, “Nasal neuron PET imaging quantifies neuron generation and degeneration”, The Jour. Clin. Investig., 2017. https://doi.org/10.1172/JCI89162. |
APA Style
Svetlana Amirova, Tamara Tulaykova. (2017). Thermo - Acoustic Approach for Neuron Signals and New Hypothesis for Anesthetics Mechanisms. International Journal of Bioorganic Chemistry, 2(3), 94-101. https://doi.org/10.11648/j.ijbc.20170203.13
ACS Style
Svetlana Amirova; Tamara Tulaykova. Thermo - Acoustic Approach for Neuron Signals and New Hypothesis for Anesthetics Mechanisms. Int. J. Bioorg. Chem. 2017, 2(3), 94-101. doi: 10.11648/j.ijbc.20170203.13
@article{10.11648/j.ijbc.20170203.13, author = {Svetlana Amirova and Tamara Tulaykova}, title = {Thermo - Acoustic Approach for Neuron Signals and New Hypothesis for Anesthetics Mechanisms}, journal = {International Journal of Bioorganic Chemistry}, volume = {2}, number = {3}, pages = {94-101}, doi = {10.11648/j.ijbc.20170203.13}, url = {https://doi.org/10.11648/j.ijbc.20170203.13}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijbc.20170203.13}, abstract = {We consider axon as a cylinder that has acoustic waveguide regimes to concentrate the propagated signals with appropriate deformation of membrane areas. The highest temperature results near the cylinder axis that can cause low-frequency (0.1 - 10 kHz) longitudinal vibrations of axon due to thermal expansion of material. These frequency shifts are very sensitive to the changes in surrounding viscosity, calculations are presented. The same resonance frequencies of both parts of neuron (axon and Soma) were calculated based on structures sizes, but anaesthesia effect could be explained by different frequency changes for both neuron parts to anesthetics admixture in surrounding.}, year = {2017} }
TY - JOUR T1 - Thermo - Acoustic Approach for Neuron Signals and New Hypothesis for Anesthetics Mechanisms AU - Svetlana Amirova AU - Tamara Tulaykova Y1 - 2017/03/30 PY - 2017 N1 - https://doi.org/10.11648/j.ijbc.20170203.13 DO - 10.11648/j.ijbc.20170203.13 T2 - International Journal of Bioorganic Chemistry JF - International Journal of Bioorganic Chemistry JO - International Journal of Bioorganic Chemistry SP - 94 EP - 101 PB - Science Publishing Group SN - 2578-9392 UR - https://doi.org/10.11648/j.ijbc.20170203.13 AB - We consider axon as a cylinder that has acoustic waveguide regimes to concentrate the propagated signals with appropriate deformation of membrane areas. The highest temperature results near the cylinder axis that can cause low-frequency (0.1 - 10 kHz) longitudinal vibrations of axon due to thermal expansion of material. These frequency shifts are very sensitive to the changes in surrounding viscosity, calculations are presented. The same resonance frequencies of both parts of neuron (axon and Soma) were calculated based on structures sizes, but anaesthesia effect could be explained by different frequency changes for both neuron parts to anesthetics admixture in surrounding. VL - 2 IS - 3 ER -