Modeling the Influence of a Steady Magnetic Field on Action Potential Generation in Neurons

Document Type : Power Article

Authors

1 Assistant Professor, Biomedical Engineering Department, Hamedan University of Technology, Hamedan, 65169-13733, Iran

2 Department of Electrical Engineering, Saveh Branch, Islamic Azad University, Saveh, Iran

Abstract

In spite of increasing public concern about the impact of magnetic fields on health, use of magnetic devices in the practice of clinical medicine is on the rise. However, the influence of a constant magnetic field on action potential generation and conduction in neurons is yet to be definitively explained. In this work a physical model is presented which accounts for the influence of a steady magnetic field on neuron excitability. The validity of the proposed model is verified based on simulations using a public-domain software known as HHSim, which implements the Hodgkin-Huxley model equations in MATLABTM. The proposed model accounting for the influence of a steady magnetic field on neuron excitability is in agreement with experimental observations as well as simulations based on the Hodgkin-Huxley model. Simulations using the HHSim software verified the reduction in the amplitude of the depolarizing excitation current in proportion to the magnitude of the magnetic flux density leading to action potential suppression. The separation of ionic charge resulting from the magnetic force acting on the mobile ions in the intracellular space was introduced as the origin of a Hall electric field in a direction perpendicular to action potential transmission along the axon. The current flow associated with this electric field, in turn, leads to the reduction of the ionic current available for discharging the membrane capacitance, thereby reducing the neuron excitability

Keywords

References

 
 
[1] مازیار دهقان، مصطفی میرزایی و آرش محمدزاده، «شبیه‌سازی عددی و ارائة روش حل برای جریان سیال غیرنیوتنی تحت تأثیر میدان مغناطیسی در لایة مرزی یک صفحة کشسان»، مجلة مدل‌سازی در مهندسی، دورة 11، شمارة 34، پاییز 1392، صفحة 77-85.
[2] سید سجاد جعفری و نوید فریدونی مهر، «بررسی تولید انتروپی در یک جریان لغزشی هیدرودینامیک مغناطیسی نانوسیال بر روی یک صفحة نفوذپذیر گسترش‌یافته»، مجلة مدل‌سازی در مهندسی، دورة 15، شمارة 49، تابستان 1396، صفحة 39-53.
[3] محمدیوسف ولی و نیما امجدی، «طراحی و ساخت موتور مغناطیسی خورشیدی برای خودروها»، مجلة مدل‌سازی در مهندسی، دورة 16، شمارة 52، بهار 1397، صفحة 149-161.
[4] S. Yamaguchi-Sekino, T. Nakai, S. Imai, S. Izawa and T. Okuno, "Occupational exposure levels of static magnetic field during routine MRI examination in 3 T MR system", Bioelectromagnetics, Vol. 35, No. 1, January 2014, pp. 70–75.
[5] C. Westbrook, Handbook of MRI Technique, 4th Edition. Wiley-Blackwell, UK, 2014.
[6] R. Leoci, G. Aiudi, F. Silvestre, E. Lissner and G.M. Lacalandra, "Effect of pulsed electromagnetic field therapy on prostate volume and vascularity in the treatment of benign prostatic hyperplasia: a pilot study in a canine model", Prostate, Vol. 74, No. 11, 2014, pp. 1132-1141.
[7] I. Nojima, S. Koganemaru, H. Fukuyama and T. Mima, "Static magnetic field can transiently alter the human intracortical inhibitory system", Clinical Neurophysiology, Vol. 126, No. 12, Dec. 2015, pp. 2314– 2319.
[8] H. Kirimoto, A. Asao, H. Tamaki and H. Onishi, "Non-invasive modulation of somatosensory evoked potentials by the application of static magnetic fields over the primary and supplementary motor cortices", Scientific Reports, Vol. 6, 2016, p. 34509.
[9] H. Kirimoto, H. Tamaki and H Onishik, "Transcranial static magnetic field stimulation - new non-invasive brain stimulation tool", The Journal of Physical Fitness and Sports Medicine, Vol. 5, No. 3, 2016, pp. 205-211.
[10] I. Nojima, A. Oliviero and M. Tatsuya, "Transcranial static magnetic stimulation -From bench to bedside and beyond-", Neuroscience Research, Vol. 156, July 2020, pp. 250-255.
[11] P. Arias, L. Adán-Arcay, B. Puerta-Catoira, A. Madrid and J. Cudeiro, "Transcranial static magnetic field stimulation of M1 reduces corticospinal excitability without distorting sensorimotor integration in humans", Brain Stimulation, vol. 10, no. 2, Mar. 2017, pp. 340–342.
[12] P. Davila-Pérez, A. Pascual-Leone and J. Cudeiro, "Effects of Transcranial Static Magnetic Stimulation on Motor Cortex Evaluated by Different TMS Waveforms and Current Directions", Neuroscience, Vol. 413, August 2019, pp. 22-30.
[13] K. Nakagawa and K. Nakazawa, "Static magnetic field stimulation applied over the cervical spinal cord can decrease corticospinal excitability in finger muscle", Clinical Neurophysiology Practice, Vol. 3, 2018, pp. 49–53.
[14] C. Zhang, F. Tang, P. Ma and Z. Gan, "A simplified HTc rf SQUID to analyze the human cardiac magnetic field", American Institute of Physics, AIP Advances, Vol. 4, 2014, pp. 127-131.
[15] J. Wikswo and J. Barach, "An estimate of the steady magnetic field strength required to influence nerve conduction", IEEE Transactions on Biomedical Engineering, Vol. 27, No. 12, December 1980, pp. 722-723.
[16] S. Çizmecioğulları, Y. Keskin, H. Saybasili and S. Paker, "Effects of Static Magnetic Field on Compound Action Potential of Isolated Frog Sciatic Nerve", Journal of Magnetics, Vol. 24, No.4, 2019, pp.668-673.
[17] S. Hashemi and A. Abdolali, "Three-Dimensional Analysis, Modeling, and Simulation of the Effect of Static Magnetic Fields on Neurons", Bioelectromagnetics, Vol. 38, No. 2, February 2017, pp. 128-136.
[18] A. Cavopol, A. Wamil, R. Holcomb and M. McLean, "Measurement and Analysis of Static magnetic fields that block action potentials in cultured neurons", Bioelectromagnetics, Vol. 16, No. 3, March 1995, pp. 197-206.
[19] S. Novikov, G. Maksimov, V. Volkov and A. Shalygin, "Influence of weakened constant magnetic fields on nerve cell excitability", Biophysics, Vol. 53, No. 3, March 2008, pp. 243-244.
[20] Ö. Coşkun, M. aziroğlu, S. Çömlekçi and S. Özkorucuklu, "Effects of 50 Hertz-1 mT magnetic field on action potential in isolated rat sciatic nerve", Toxicology & Industrial Health, Vol. 2, No. 2, February 2011, pp. 127-132.
[21] D. Touretzky, M. Albert, N. Daw, A. Ladsariya and M. Bonakdarpour,"HHsim: Graphical Hodgkin-Huxley Simulator", 2013, Available from: http://www.cs.cmu.edu/~dst/HHsim.
 
 
Journal of Modeling in Engineering
Volume 19, Issue 64
April 2021
Pages 87-93

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History

  • Receive Date: 30 January 2020
  • Revise Date: 03 November 2020
  • Accept Date: 15 November 2020

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