Abstract
Motivated by some experimental results of [13], the standard stochastic Leaky Integrate-and-Fire model for single neuron firing activity is generalized in a way to include evolutionary instantaneous time constant and resting potential. The main features of the ensuing Gauss-diffusion process are disclosed by making use of a space-time transformation leading to the Ornstein-Uhlenbeck process. On the grounds of simulations of the time course of the membrane potential, we are led to conclude that our generalized model well accounts for a variety of experimental recordings that appear to indicate that the standard model is inadequate to reproduce statistically reliable features of spike trains generated by certain types of cortical neurons.
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Buonocore, A., Caputo, L., Pirozzi, E., Ricciardi, L.M. (2009). On a Generalized Leaky Integrate–and–Fire Model for Single Neuron Activity. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_21
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DOI: https://doi.org/10.1007/978-3-642-04772-5_21
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