分数阶随机Hodgkin-Huxley模型
On a Fractional Stochastic Hodgkin-Huxley Model
摘要：
本文所研究的模型是Hodgkin和Huxley提出的神经元模型的随机扩展。在粗糙路径的意义下，该模型被分数布朗运动驱动的乘性噪声扰动，具有满足Coutin和Marie的$\mathbb R\times [0,1]^3$生存条件的向量场。提供了神经病变损伤的神经纤维的膜电位的建模的应用。
英文摘要：
The model studied in this paper is a stochastic extension of the so-called neuron model introduced by Hodgkin 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 Coutin and Marie for $\mathbb R\times [0,1]^3$. An application to the modeling of the membrane potential of nerve fibers damaged by a neuropathy is provided.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
