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Excitation of an Electromagnetic Field in a Compact Nerve Fiber by a System of Filamentary Electric Currents

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Radiophysics and Quantum Electronics Aims and scope

We study the excitation of an electromagnetic field in a compact nerve fiber by a system of given filamentary electric currents, which are aligned with the fiber. In the case of a fiber consisting of several myelinated axons, equations for the scattering coefficients of the electromagnetic waves excited by such currents are obtained. On the basis of the solution of the corresponding equations, the total field due to these sources is found in the case of their location around the fiber. An approach is proposed for determining the filamentary-current amplitudes such that it ensures the formation of the required field pattern inside the nerve fiber. Numerical results demonstrating the possibility of selective field excitation in individual axons are presented.

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References

  1. M. Plaksin, S. Shoham, and E. Kimmel, Phys. Rev. X, 4, No. 1, 011004 (2014).

    Google Scholar 

  2. P. J. Basser and B. J. Roth, Med. Biol. Eng. Comput., 29, No. 3, 261 (1991).

    Article  Google Scholar 

  3. A. H. Marblestone, B. M. Zamft, Y. G. Maguire, et al., Front. Comput. Neurosci ., 7, 137 (2013).

    Article  Google Scholar 

  4. R. L. Fork, Science, 171, No. 3974, 907 (1971).

    Article  ADS  Google Scholar 

  5. V. Poher, N. Grossman, G.T.Kennedy, et al., J. Phys. D: Appl. Phys., 41, No. 9, 094014 (2008).

    Article  ADS  Google Scholar 

  6. M. G. Shapiro, K. Homma, S. Villarreal, et al., Nat. Commun., 3, 736 (2012).

    Article  ADS  Google Scholar 

  7. E. J. Peterson and D. J. Tyler, J. Neural. Eng., 11, No. 1, 016001 (2014).

    Article  ADS  Google Scholar 

  8. T. V. F. Abaya, S. Blair, P. Tathireddy, et al., Biomed. Opt. Express, 3, No. 12, 3087 (2012).

    Article  Google Scholar 

  9. J.B. Ford, M.W. Jenkins, H.J. Chiel, et al., Proc. SPIE BiOS, 10052, 100520B (2017).

    Article  Google Scholar 

  10. E. H. Lothet, K.M. Shaw, H. Lu, et al., Sci. Rep., 7, No. 1, 3275 (2017).

    Article  ADS  Google Scholar 

  11. A.R. Duke, M.W. Jenkins, H. Lu, et al., Sci. Rep., 3, 2600 (2013).

    Article  Google Scholar 

  12. G. G. Siegel, Basic Neurochemistry: Molecular, Cellular, and Medical Aspects, Lippincott-Raven Publishers, New York (1999).

    Google Scholar 

  13. Y. Min, K. Kristiansen, J. M. Boggs, et al., Proc. Natl. Acad. Sci. USA, 106, No. 9, 3154 (2009).

    Article  ADS  Google Scholar 

  14. M. Abramowitz and I.A. Steagun, eds., Handbook of Special Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York (1972).

  15. D. J. Segelstein, “The complex refractive index of water,” M. Sc. thesis, University of Missouri, Kansas City (1981).

  16. I.P. Antonov, A. V. Goroshkov, V. M. Kalyunov, et al., J. Appl. Spectrosc., 39, No. 1, 822 (1983).

    Article  ADS  Google Scholar 

  17. M.K. Gilson and B.H.Honig, Biopolymers, 25, No. 11, 2097 (1986).

    Article  Google Scholar 

  18. S. Law, V. Podolskiy, and D. Wasserman, Nanophotonics, 2, No. 2, 103 (2013).

    Article  ADS  Google Scholar 

  19. D. Jung, S. Bank, M. L. Lee, et al., J. Opt ., 19, No. 12, 123001 (2017).

    Article  ADS  Google Scholar 

  20. A. E. Krasnok, I. S. Maksymov, A. I. Denisyuk, et al., Physics—Uspekhi, 56, No. 6, 539 (2013).

    ADS  Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 62, No. 1, pp. 72–84, January 2019.

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Es’kin, V.A., Kudrin, A.V. & Popova, A.A. Excitation of an Electromagnetic Field in a Compact Nerve Fiber by a System of Filamentary Electric Currents. Radiophys Quantum El 62, 65–76 (2019). https://doi.org/10.1007/s11141-019-09954-1

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  • DOI: https://doi.org/10.1007/s11141-019-09954-1

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