For citation:
Zayko Y. N. Signal Propagation in Nerve Fiber. Izvestiya of Saratov University. Physics , 2009, vol. 9, iss. 1, pp. 33-38. DOI: 10.18500/1817-3020-2009-9-1-33-38
Signal Propagation in Nerve Fiber
In this article a problem of signal propagation in nerve fiber is considered. Ohm’s losses and heat processes are taken into account. These permit to join two stages (metabolic and non-metabolic) of propagation and Na+ and K+ ions transmission through cell membrane connected with propagation. Electrodynamics of nerve fiber is described by telegraph equations with losses. Heat processes in fiber are described by an equation of entropy transfer. Ion motion at metabolic stage against the electro-chemical potential is described by negative conductance, responsible for the escape flow. A runningwave type solutions of these equations are studied. An integral and explicit solution of given system are received. A solution of series of quasi-harmonic pulses is investigated numerically. This proves the possibility of telegraph equation implementation to considered problem. Different types of solitary waves corresponding to various types of conductivity are investigated also.
- Hodjkin A.L., Haxley A.F. The dual effect of membrane potential on sodium conductance in the giant axon of Loligo.// J. Physiol. 1952. Vol. 116. P. 497−551.
- Скотт Э. Волны в активных и нелинейных средах с приложением к электронике / Пер. с англ. под ред. Л.А. Островского и М.И. Рабиновича. М.: Сов. радио, 1977. 368 с.
- Леннинджер А. Биохимия./ пер. с англ. М.: Мир, 1974. 483 с.
- Зайко Ю.Н. Второе начало термодинамики и неоднородные системы: приложение к космологии и биофизике. // Биомедицинские технологии и радиоэлектроника. 2003. № 2. C.69–72.
- Румер Ю.Б., Рывкин М.Ш. Термодинамика, статистическая физика и кинетика. М.: Наука, 1972. 400 с.
- Роу Дж. Теория нелинейных явлений в приборах сверхвысоких частот/пер. с англ. Под ред. З.С. Чернова. М.: Сов. радио. 1969. 615 с.
- Шредингер Э. Что такое жизнь. С точки зрения физики / пер. с англ. под ред. А.А. Малиновского и Г.Г. Порошенко. М.: Атомиздат, 1972. 88 с.
- Николс Дж. Г. и др. От нейрона к мозгу/ пер. с англ. Под ред. П.М. Балабана и Р.А. Гиниатуллина. М.: УРСС, 2003. 671 с.
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