A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

被引：4
|
作者：
Huang, Huaxiong [1 ,2 ]
Miura, Robert M. [2 ,3 ]
Yao, Wei [4 ]
机构：
[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
[2] New Jersey Inst Technol, Ctr Appl Math & Stat, Newark, NJ 07102 USA
[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
[4] Fudan Univ, Dept Engn Sci & Mech, Shanghai 200433, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2011年 / 3卷 / 06期
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
Cortical spreading depression; neuronal model; network; numerical simulation; CEREBRAL-CORTEX; TRANSMISSION; MECHANISMS;
D O I：
10.4208/aamm.10-m1052
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons. This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.
引用
收藏
页码：759 / 773
页数：15
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