Motivated by some experimental results of C.F. Stevens and A.M. Zador, 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.
On a Generalized Leaky Integrate-and-Fire Model for Single Neuron Activity / Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Ricciardi, LUIGI MARIA. - STAMPA. - 5717:(2009), pp. BMZ81.152-BMZ81.158. (Intervento presentato al convegno 12th International Conference EUROCAST 2009 tenutosi a Las Palmas de Gran Canaria, Spain nel February 15-20, 2009) [10.1007/978-3-642-04772-5_21].
On a Generalized Leaky Integrate-and-Fire Model for Single Neuron Activity
BUONOCORE, ANIELLO;CAPUTO, LUIGIA;PIROZZI, ENRICA;RICCIARDI, LUIGI MARIA
2009
Abstract
Motivated by some experimental results of C.F. Stevens and A.M. Zador, 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
