The Morris-Lecar neuron model embeds a leaky integrate-and-fire model

Susanne Ditlevsen; Priscilla Greenwood

doi:10.1007/s00285-012-0552-7

The Morris-Lecar neuron model embeds a leaky integrate-and-fire model

Susanne Ditlevsen, Priscilla Greenwood

Department of Mathematical Sciences

38 Citations (Scopus)

Abstract

We showthat 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 detailedMorris–Lecar firing statistics reproduces theMorris–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.

Original language	English
Journal	Journal of Mathematical Biology
Volume	67
Issue number	2
Pages (from-to)	239-259
ISSN	0303-6812
DOIs	https://doi.org/10.1007/s00285-012-0552-7
Publication status	Published - Aug 2013

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10.1007/s00285-012-0552-7

Cite this

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abstract = "We showthat 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 detailedMorris–Lecar firing statistics reproduces theMorris–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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