ArticleJournal of mathematical biology2013
The Morris-Lecar neuron model embeds a leaky integrate-and-fire model.
Article in Journal of mathematical biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- The stochastic Fitzhugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model.Journal of mathematical biology · 2019Article
- Minimal time spiking in various ChR2-controlled neuron models.Journal of mathematical biology · 2018Article
- The ISI distribution of the stochastic Hodgkin-Huxley neuron.Frontiers in computational neuroscience · 2014Article
- Why noise is useful in functional and neural mechanisms of interval timing?BMC neuroscience · 2013Article
- Sustained oscillations for density dependent Markov processes.Journal of mathematical biology · 2011Article
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2 authors.
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Abstract
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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