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

Yi Dong, Stefan Mihalas, Ernst Niebur

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)421-434
Number of pages14
JournalNeural Computation
Volume23
Issue number2
DOIs
StatePublished - Feb 2011

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Cognitive Neuroscience

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