The research work outlined in the present note highlights the essential role played by the simulation procedures implemented by us on CINECA supercomputers to complement the mathematical investigations concerning neuronal activity modeling, carried within our group over the past several years. The ultimate target of our research is the understanding of certain crucial features of the information processing and transmission by single neurons embedded in complex networks. More specifically, here we provide a bird’s eye look of some analytical, numerical and simulation results on the asymptotic behavior of first passage time densities for Gaussian processes, both of a Markov and of a non-Markov type. Significant similarities or diversities between computational and simulated results are pointed out.

Gaussian processes and neuronal modeling

DI NARDO, Elvira;
2005-01-01

Abstract

The research work outlined in the present note highlights the essential role played by the simulation procedures implemented by us on CINECA supercomputers to complement the mathematical investigations concerning neuronal activity modeling, carried within our group over the past several years. The ultimate target of our research is the understanding of certain crucial features of the information processing and transmission by single neurons embedded in complex networks. More specifically, here we provide a bird’s eye look of some analytical, numerical and simulation results on the asymptotic behavior of first passage time densities for Gaussian processes, both of a Markov and of a non-Markov type. Significant similarities or diversities between computational and simulated results are pointed out.
2005
10th International Conference on Computer Aided Systems Theory
Las Palmas de Gran Canaria, Spain
February 24-28, 1997
Computer Aided Systems Theory - EUROCAST 2005
Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229
3561
176
185
9783540262985
http://www.springerlink.com/content/xdu2gqrne574wg6n/
neuronal model; gaussian process
E. DI NARDO; A. NOBILE; E. PIROZZI; L.M. RICCIARDI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1561370
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