Open AccessA new firing paradigm for integrate and fire stochastic neuronal models
Author(s) -
Roberta Sirovich,
Luisa Testa
Publication year - 2016
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2016010
Subject(s) - integrator , process (computing) , computer science , control theory (sociology) , biological system , statistical physics , physics , artificial intelligence , biology , computer network , control (management) , bandwidth (computing) , operating system
A new definition of firing time is given in the framework of Integrate and Fire neuronal models. The classical absorption condition at the threshold is relaxed and the firing time is defined as the first time the membrane potential process lies above a fixed depolarisation level for a sufficiently long time. The mathematical properties of the new firing time are investigated both for the Perfect Integrator and the Leaky Integrator. In the latter case, a simulation study is presented to complete the analysis where analytical results are not yet achieved.