On the phase reduction and response dynamics of neural oscillator populations

被引:393
作者
Brown, E [1 ]
Moehlis, J
Holmes, P
机构
[1] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA
[2] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA
关键词
D O I
10.1162/089976604322860668
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We undertake a probabilistic analysis of the response of repetitively firing neural populations to simple pulselike stimuli. Recalling and extending results from the literature, we compute phase response curves (PRCs) valid near bifurcations to periodic firing for Hindmarsh-Rose, Hodgkin-Huxley, FitzHugh-Nagumo, and Morris-Lecar models, encompassing the four generic (codimension one) bifurcations. Phase density equations are then used to analyze the role of the bifurcation, and the resulting PRC, in responses to stimuli. In particular, we explore the interplay among stimulus duration, baseline firing frequency, and population-level response patterns. We interpret the results in terms of the signal processing measure of gain and discuss further applications and experimentally testable predictions.
引用
收藏
页码:673 / 715
页数:43
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