On a fractional stochastic Hodgkin-Huxley model

被引：4
|
作者：
Coutin, Laure [1 ]
Guglielmi, Jean-Marc [2 ]
Marie, Nicolas [3 ,4 ]
机构：
[1] Inst Math Toulouse, Toulouse, France
[2] Amer Hosp Paris, Neuilly Sur Seine, France
[3] Univ Paris 10, Lab ModalX, Nanterre, France
[4] ESME Sudria, Paris, France
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 05期
关键词：
Hodgkin-Huxley model; stochastic differential equations; fractional Brownian motion; viability theorem;
D O I：
10.1142/S1793524518500614
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The model studied in this paper is a stochastic extension of the so-called neuron model introduced by Ilodgkin and Huxley. In the sense of rough paths, the model is perturbed by a multiplicative noise driven by a fractional Brownian motion, with a vector field satisfying the viability condition of Ooutin and Marie for R x [0, 1](3). An application to the modeling of the membrane potential of nerve fibers damaged by a neuropathy is provided.
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页数：16
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