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