Acta Scientific Applied Physics (ASAP)

Short Communication Volume 1 Issue 2

Study of Propagation of Electric Impulses in Nerve Fibers of Living Organisms

Vasily Yu Belashov1* and Olga N Kruchinina2

1Kazan Federal University, Kazan, Russia
2Orsk State Technical Institute, Orsk, Russia

*Corresponding Author: Vasily Yu Belashov, Kazan Federal University, Kazan, Russia.

Received: January 08, 2020; Published: January 31, 2020

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Abstract

  The propagation of solitary electric impulses in nerve fiber of living organisms is considered on the basis of the model of the generalized KdVB equation. It is shown that the nonlinear dependence of the membrane permeability on pulse amplitude leads to increasing of a steepness of the pulse front, the diffusion processes, which level the concentration on both sides of the membrane, make the front flatter, and dispersion causes the pulse to blur due to the difference in the propagation velocities of the harmonics composing the pulse. It is found that if these competing processes balance each other, then the pulse propagates through the fiber with the constant velocity without changing its shape looking like a soliton. The case when a single electric impulse can transform to a sequence of solitary pulses is noted, and that can be perceived by a living organism as another signal different from that at the input of system.

Keywords: Electric Impulse; Amplitude; Pulse

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References

  1. Hodgkin AL and Huxley AF. “A quantitative description of membrane current and its application to conduction and excitation in nerve”. Journal of Physiology 117.4 (1952): 500-544.
  2. Karpman VI. “Non-linear waves in dispersive media”. Pergamon, Oxford (1975): 175.
  3. Kruchinina ON. “Study of propagation of electric impulses in nerve fibers of living organisms”. Proc. IV Intern. Youth Sci. Conf. "Tinchurinsky Readings", Kazan, Kazan State Power Eng. Univ., Russia, Apr. 22-24; 1 (2009): 266-268.
  4. Belashov VYu and Vladimirov SV. “Solitary Waves in Dispersive Complex Media”. Theory, Simulation, Applications. Springer Verlag GmbH and Co KG Berlin-Heidelberg-New York-Tokyo (2005): 303.
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Citation

Citation: Vasily Yu Belashov and Olga N Kruchinina. “Study of Propagation of Electric Impulses in Nerve Fibers of Living Organisms". Acta Scientific Agriculture 1.2 (2020): 01-02.



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