An outline of theoretical and algorithmic approaches to first passage time problems for systems dynamics modelling

A DI CRESCENZO, V Giorno, AG Nobile, LM Ricciardi - 1995 - iris.unisa.it
The role of stochastic diffusion processes for modeling purposes is discussed. Special
emphasis is put on neuronal firing problems and on the description of population dynamics,
for which the first passage time distribution and its statistics carry a fundamental relevance,
being representative of the firing mechanism and of extinction or survival, respectively.
Methods to solve the first passage time problems, both of a theoretical and of a
computational nature, are outlined and a number of accessory results are also presented …

[PDF][PDF] An outline of theoretical and algorithmic approaches to first passage time problems with applications to biological modeling

LM Ricciardi, AD Crescenzo, V Giorno… - Mathematica …, 1999 - researchgate.net
The role of stochastic diffusion processes for modeling purposes is discussed. Special
emphasis is put on neuronal firing problems and on the description of popula tion dynamics,
for which the first passage ti me distribution and its statistics carry a fundamental relevance,
being representative of the firing mechanism and of extinction or survival, respectively.
Methods to solve the first passage time problems, both of a theoretical and of a
computational nature, are outlined and a number of accessory results are also presented …
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