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Updated: Mar 22, 2026

Studying the Integration of Adult-born Neurons
Published on: March 25, 2011
A new firing paradigm for integrate and fire stochastic neuronal models
Roberta Sirovich1, Luisa Testa
1Department of Mathematics 'G. Peano', University of Torino, Via Carlo Alberto 10, 10123 Torino, Italy.
Abstract:
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.
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