Abstract
A firing rate (FR) model for a population of adaptive leaky integrate-and-fire neurons has been proposed. Unlike known FR models, it describes more precisely the unsteady firing regimes and takes into account the effect of slow potassium currents of spike adaptation. Approximations of the adaptive channel conductances are rewritten from voltage-dependent to spike-dependent and then to rate-dependent ones. The proposed FR model is compared with a very detailed population model, namely, the conductance-based Refractory Density model. This comparison shows the coincidence of the first peak of activity after the start of stimulation as well as of the stationary state. As an example of simulation of coupled adaptive neuronal populations, a ring model has been constructed, which reproduces a visual illusion known as tilt after-effect. The FR model is recommended for mathematical analysis of neuronal population activity as well as for computationally expensive large-scale network simulations.
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Abbreviations
- (A)LIF:
-
(adaptive) leaky integrate-and-fire
- HH:
-
Hodgkin-Huxley
- FR:
-
firing-rate
- RD:
-
refractory density (model)
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Original Russian Text © A.Yu. Buchin, A.V. Chizhov, 2010, published in Biofizika, 2010, Vol. 55, No. 4, pp. 664–673.
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Buchin, A.Y., Chizhov, A.V. Firing-rate model of a population of adaptive neurons. BIOPHYSICS 55, 592–599 (2010). https://doi.org/10.1134/S0006350910040135
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DOI: https://doi.org/10.1134/S0006350910040135