Neural Comput - Improved integral equation solution for the first passage time of leaky integrate-and-fire neurons.

Tópicos

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Resumo

An accurate calculation of the first passage time probability density (FPTPD) is essential for computing the likelihood of solutions of the stochastic leaky integrate-and-fire model. The previously proposed numerical calculation of the FPTPD based on the integral equation method discretizes the probability current of the voltage crossing the threshold. While the method is accurate for high noise levels, we show that it results in large numerical errors for small noise. The problem is solved by analytically computing, in each time bin, the mean probability current. Efficiency is further improved by identifying and ignoring time bins with negligible mean probability current.

Resumo Limpo

accur calcul first passag time probabl densiti fptpd essenti comput likelihood solut stochast leaki integrateandfir model previous propos numer calcul fptpd base integr equat method discret probabl current voltag cross threshold method accur high nois level show result larg numer error small nois problem solv analyt comput time bin mean probabl current effici improv identifi ignor time bin neglig mean probabl current

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