Dynamics of encoding in neuron populations: Some general mathematical features

被引:88
作者
Knight, BW [1 ]
机构
[1] Rockefeller Univ, Biophys Lab, New York, NY 10021 USA
[2] NYU, Mt Sinai Sch Med, Lab Appl Math, New York, NY 10021 USA
关键词
D O I
10.1162/089976600300015673
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The use of a population dynamics approach promises efficient simulation of large assemblages of neurons. Depending on the issues addressed and the degree of realism incorporated in the simulated neurons, a wide range of different population dynamics formulations can be appropriate. Here we present a common mathematical structure that these various formulations share and that implies dynamical behaviors that they have in common. This underlying structure serves as a guide toward efficient means of simulation. As an example, we derive the general population firing-rate frequency-response and show how it may be used effectively to address a broad range of interacting-population response and stability problems. A few specific cases will be worked out. A summary of this work appears at the end, before the appendix.
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页码:473 / 518
页数:46
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