A leaky integrate-and-fire model with adaptation for the generation of a spike train.
A model is proposed to describe the spike-frequency adaptation observed in many neuronal systems. We assume that adaptation is mainly due to a calcium-activated potassium current, and we consider two coupled stochastic differential equations for which an analytical approach combined with simulation techniques and numerical methods allow to obtain both qualitative and quantitative results about asymptotic mean firing rate, mean calcium concentration and the firing probability density. A related algorithm, based on the Hazard Rate Method, is also devised and described.
Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Universita di Napoli Federico II, Via Cintia, 80126 Napoli, Italy. email:aniello.buonocore@unina.it.
Aniello
A
Buonocore
Luigia
L
Caputo
Enrica
E
Pirozzi
Maria Francesca
MF
Carfora
D000222:Adaptation, Physiological; D000465:Algorithms; D003198:Computer Simulation; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*