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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: The Morris-Lecar neuron model embeds the leaky integrate-and-fire model

Presented by Susanne Ditlevsen, Department of Mathematical Sciences, University of Copenhagen

20 May 2010 15:15 in CM221

We analyse the stochastic-dynamical process produced by the Morris-Lecar
neuron model, where the randomness arises from channel noise. Using
stochastic averaging, we show that in a neighborhood of the stable
point, representing subthreshold fluctuations of the neuron, this
two-dimensional stochastic process can be approximated by a
two-dimensional Ornstein-Uhlenbeck modulation of a constant
circular motion. The firing of the Morris-Lecar neuron corresponds to
this Ornstein-Uhlenbeck process crossing a boundary, which is equivalent
to the crossing of a one-dimensional leaky integrate-and-fire model with
state dependent noise. This model is the Feller neuron model where an
inhibitory reversal potential is accounted for. The result justifies the
large amount of attention paid to the stochastic leaky integrate-and
fire models. A more detailed picture emerges from simulation studies.

Joint work with Priscilla Greenwood

Host: Umberto Picchini

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