ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Akchurin G. G., Seliverstov G. A., Akchurin G. G. Nonlinear dynamic response оf axons ensemble excited by regular sequence оf electrical impulses EX VIVO. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 4, pp. 74-79. DOI: 10.18500/0869-6632-2003-11-4-74-79

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2003-4-5_akchurin-etal.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
612.822:577.37
DOI: 
10.18500/0869-6632-2003-11-4-74-79

Nonlinear dynamic response оf axons ensemble excited by regular sequence оf electrical impulses EX VIVO

Autors: 
Akchurin Garif Gazizovich, Saratov State University
Seliverstov Georgiy Aleksandrovich, Saratov State Medical University named after V. I. Razumovsky
Akchurin Georgiy Garifovich, Saratov State University
Abstract: 

In axons ensemble of somatic nerve of the frog a scenario of period-doubling bifurcations was discovered from the frog nerve response. Complex dynamics оf compound асtion potential is observed when on-line time of stimulatory electrical impulses is comparable with refractory period of the nerve.

Key words: 
-
Acknowledgments: 
This work was supported by RFBR (grant № 01-02-16709) and CRDF (REC-006).
Reference: 
  1. Pikovsky А, Kurths J. Coherent resonance in а noise-driven excitable system. Phys.Rev.Lett. 1997;78(5):775-778. DOI: 10.1103/PhysRevLett.78.775.
  2. Lее S, Neiman А, Kim S. Coherence resonance in Hodgkin-Huxley neuron. Phys.Rev.E. 1998;57(3):3292-3297. DOI: 10.1103/PhysRevE.57.3292.
  3. Anishchenko VS, Neiman AB, Moss F, Shimansky-Geier L. Stochastic resonance: noise-enhanced order. Phys. Usp.1999;42(1):7–36. DOI: 10.1070/PU1999v042n01ABEH000444.
  4. Mosekilde E, Maistrenko Y, Postnov D. Chaotic Synchronization. Application to Living Systems. Singapore: World Scientific; 2002. 440 p. DOI: 10.1142/4845.
  5. Goldman DE. Potential, impedance and rectification in membranes. J. Gen. Physiol. 1943;27(1):37-60. DOI: 10.1085/jgp.27.1.37.
  6. Plonsey R, Barr R. Bioelectricity: A Quantitative Approach. Springer Science & Business Media; 2000. 389 p.
  7. Hodgkin AL, Huxley AF. A quantitative description оf membrane currents and its application to conduction and excitation in nerve. J.Physiol. 1952;117(4):500-544. DOI: 10.1113/jphysiol.1952.sp004764.
  8. Nozdrachev AD, editor. Beginnings of Physiology. Saint Petersburg: Lan’; 2001. 464 p. (in Russian).
  9. Huho F. Neurochemistry: Fundamentals and Concepts. VCH; 1986. 326 p.
  10. Akchurin GG, Seliverstov GA, Akchurin GG Jr. Dynamic and fluctuation processes in ensemble of neurons at pulsed electrical excitation EX VIVO. In: International Conference SYNCHRO 2002. Book оf Abstracts. P. 14.
  11. Akchurin GG, Seliverstov GA, Kamenskih TG, Akchurin GG Jr. Dynamic and fluctuation processes in ensemble of neurons аt pulsed electrical and optical excitation in vivo. In: Proc.SPIE. 2001. Vol. 4707. P. 309-314.
  12. McNamara JO. Drugs effective in thе therapy оf the epilepsies. In: Hardman JC, Gilman AG, Limbird LE, editors. Goodman & Gilman’s «The Pharmacological Basis оf Therapeutics». 9th. McGraw-Hill Companies Inc.; 1997. Р. 461-487.
  13. Mandel WJ. Cardiac Arrhythmias: Their Mechanisms, Diagnosis, and Management. 3rd Edition. Lippincott Williams & Wilkins; 1995. 860 p.
Received: 
28.02.2003
Accepted: 
10.04.2003
Available online: 
30.11.2023
Published: 
31.12.2003
  • 335 reads