Mathematical neuroscience: from neurons to circuits to systems

被引：40

作者：

Gutkin, B ^{[1
]}

Pinto, D ^{[1
]}

Ermentrout, B ^{[1
]}

机构：

[1] Brown Univ, Div Biol & Med, Dept Neurosci, Providence, RI 02912 USA

来源：

JOURNAL OF PHYSIOLOGY-PARIS | 2003年 / 97卷 / 2-3期

关键词：

mathematical models; non-linear dynamics; barrel cortex; spike-time statistics; hallucinations;

D O I：

10.1016/j.jphysparis.2003.09.005

中图分类号：

Q189 [神经科学];

学科分类号：

071006 ;

摘要：

Applications of mathematics and computational techniques to Our understanding Of neuronal systems are provided. Reduction of membrane models to simplified canonical models demonstrates how neuronal spike-time statistics follow from simple properties of neurons. Averaging over space allows one to derive a simple model for the whisker barrel circuit. and use this to explain and suggest several experiments. Spatio-temporal pattern formation methods are applied to explain the patterns seen in the early stages of drug-induced visual hallucinations. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：209 / 219

页数：11

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