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A Population Study of Integrate-and-Fire-or-Burst Neurons

arc{at}camelot.mssm.edu, Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

A. Omurtag

ahmet{at}camelot.mssm.edu, Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

A. Sornborger

ats{at}camelot.mssm.edu, Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

E. Kaplan

kaplane{at}mail.rockefeller.edu, Laboratory of Applied Mathematics and Department of Ophthalmology, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

B. Knight

knight{at}rockvax.rockefeller.edu, Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

J. Victor

jdvicto{at}med.cornell.edu, Department of Neurology and Neuroscience, Weill Medical College of Cornell University, New York, NY 10021, U.S.A.

L. Sirovich

chico{at}camelot.mssm.edu, Laboratory of Applied Mathematics, Mount Sinai School of Medicine, New York, NY 10029, U.S.A.

Any realistic model of the neuronal pathway from the retina to the visual cortex (V1) must account for the bursting behavior of neurons in the lateral geniculate nucleus (LGN). A robust but minimal model, the integrate-and-fire-or-burst (IFB) model, has recently been proposed for individual LGN neurons. Based on this, we derive a dynamic population model and study a population of such LGN cells. This population model, the first simulation of its kind evolving in a two-dimensional phase space, is used to study the behavior of bursting populations in response to diverse stimulus conditions.

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