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

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Standard

The Morris-Lecar neuron model embeds a leaky integrate-and-fire model. / Ditlevsen, Susanne; Greenwood, Priscilla.

I: Journal of Mathematical Biology, Bind 67, Nr. 2, 2013, s. 239-259.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Ditlevsen, S & Greenwood, P 2013, 'The Morris-Lecar neuron model embeds a leaky integrate-and-fire model', Journal of Mathematical Biology, bind 67, nr. 2, s. 239-259. https://doi.org/10.1007/s00285-012-0552-7

APA

Ditlevsen, S., & Greenwood, P. (2013). The Morris-Lecar neuron model embeds a leaky integrate-and-fire model. Journal of Mathematical Biology, 67(2), 239-259. https://doi.org/10.1007/s00285-012-0552-7

Vancouver

Ditlevsen S, Greenwood P. The Morris-Lecar neuron model embeds a leaky integrate-and-fire model. Journal of Mathematical Biology. 2013;67(2):239-259. https://doi.org/10.1007/s00285-012-0552-7

Author

Ditlevsen, Susanne ; Greenwood, Priscilla. / The Morris-Lecar neuron model embeds a leaky integrate-and-fire model. I: Journal of Mathematical Biology. 2013 ; Bind 67, Nr. 2. s. 239-259.

Bibtex

@article{432ce7a8e6db4b6a97fcbaa42e83048c,
title = "The Morris-Lecar neuron model embeds a leaky integrate-and-fire model",
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.",
author = "Susanne Ditlevsen and Priscilla Greenwood",
year = "2013",
doi = "10.1007/s00285-012-0552-7",
language = "English",
volume = "67",
pages = "239--259",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - The Morris-Lecar neuron model embeds a leaky integrate-and-fire model

AU - Ditlevsen, Susanne

AU - Greenwood, Priscilla

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

U2 - 10.1007/s00285-012-0552-7

DO - 10.1007/s00285-012-0552-7

M3 - Journal article

C2 - 22623224

VL - 67

SP - 239

EP - 259

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

SN - 0303-6812

IS - 2

ER -

ID: 47934163