An Investigation of the Modified Nerve Impulse Saltatore Conduction Model
Abstract
In the article it is considered the Nerve Impulse Saltatore Conduction model in which the Impulse Neuron model modification is used for describing Ranvier Interruptions dynamics. The model contains ordinary differential equations and delay differential equations. The system is investigated by the asymptotic step-by-step integration method. All results were obtained analytically.
About the Authors
V. V. Mayorov
Ярославский государственный университет
Russian Federation
Russian Federation
S. E. Anufrienko
Ярославский государственный университет
Russian Federation
Russian Federation
References
1. Майоров, В.В. Математическое моделирование нейронов сети на основе уравнений с запаздыванием / В.В. Майоров, И.Ю. Мышкин // Математическое моделирование. - 1990. - Т. 2, №11. - С. 64 - 76.
2. Hodgkin, A. A quantitative description of membranew current and its application to conduction and excitation in nerve / A. Hodgkin, A. Huxley //J. Physiol., - 1952, - 117, - p. 500-544.
3. Тасаки, И. Нервное возбуждение / И. Тасаки. - М.: Мир, 1971.
4. Николлз, Дж. От нейрона к мозгу / Дж. Николлз, А.Р. Мартин, Б.Дж. Валлас, П.А. Фукс. - М.: УРСС, 2003.
5. Шаде, Дж. Основы неврологии / Дж. Шаде, Д. Форд. - М.: Мир, 1976.
Review
For citations:
Mayorov V.V., Anufrienko S.E. An Investigation of the Modified Nerve Impulse Saltatore Conduction Model. Modeling and Analysis of Information Systems. 2007;14(4):3-6. (In Russ.)
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