期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 67, 期 2, 页码 239-259出版社
SPRINGER
DOI: 10.1007/s00285-012-0552-7
关键词
Stochastic dynamics; Diffusions; Interspike intervals; Conditional firing probability
资金
- Danish Council for Independent Research\Natural Sciences
- Statistical and Applied Mathematical Sciences Institute, Research Triangle Park, N.C.
- Mathematical, Computational and Modeling Sciences Center at Arizona State University
We show that the stochastic Morris-Lecar neuron, in a neighborhood of its stable point, can be approximated by a two-dimensional Ornstein-Uhlenbeck (OU) modulation of a constant circular motion. The associated radial OU process is an example of a leaky integrate-and-fire (LIF) model prior to firing. A new model constructed from a radial OU process together with a simple firing mechanism based on detailed Morris-Lecar firing statistics reproduces the Morris-Lecar Interspike Interval (ISI) distribution, and has the computational advantages of a LIF. The result justifies the large amount of attention paid to the LIF models.
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