Microscopic approach of a time elapsed neural model

Abstract : The spike trains are the main components of the information processing in the brain. To model spike trains several point processes have been investigated in the literature. And more macroscopic approaches have also been studied, using partial differential equation models. The main aim of the present article is to build a bridge between several point processes models (Poisson, Wold, Hawkes) that have been proved to statistically fit real spike trains data and age-structured partial differential equations as introduced by Pakdaman, Perthame and Salort.
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Article dans une revue
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2015, http://www.worldscientific.com/doi/10.1142/S021820251550058X. 〈10.1142/S021820251550058X〉
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Contributeur : Marie Doumic <>
Soumis le : dimanche 7 juin 2015 - 21:08:36
Dernière modification le : mardi 13 décembre 2016 - 15:44:25

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Julien Chevallier, Maria J. Caceres, Marie Doumic, Patricia Reynaud-Bouret. Microscopic approach of a time elapsed neural model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2015, http://www.worldscientific.com/doi/10.1142/S021820251550058X. 〈10.1142/S021820251550058X〉. 〈hal-01159215〉

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