Are biological neurons that vicious ? Or only their models ?

Thierry Viéville; Bruno Cessac

hal-00176200, version 1

Are biological neurons that vicious ? Or only their models ?

Thierry Viéville () ^1, 2, 3, Bruno Cessac () ⁴

(2007-09-28)

Résumé : With care, and keeping in mind that the biological plausibility of neuronal models with respect to the real brain activity is still an open question, we revisit some mathematical and numerical aspects of generalized Integrate and Fire (gIF) models and propose to eliminate assumptions related to spurious discontinuities. This concerns both the fire regime and then the integrate regime of the neuron. With this new point of view, some ``biological'' results obtained on ``models'' are to be reconsidered. This has also positive consequences. It allows us to reduce the bio-physical membrane equation to a very simple but powerful gIF numerical model. This also dramatically reduces the algorithmic complexity of event-based network simulations, as experimented here.

1 : INRIA Sophia Antipolis (INRIA Sophia Antipolis)
INRIA
2 : Université Nice Sophia Antipolis (UNS)
Université Nice Sophia Antipolis [UNS] – PRES Euro-Méditerranéen
3 : CORTEX (INRIA Lorraine - LORIA)
INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
4 : Institut Non Linéaire de Nice Sophia-Antipolis (INLN)
CNRS : UMR6618 – Université Nice Sophia Antipolis [UNS]

hal-00176200, version 1
http://hal.archives-ouvertes.fr/hal-00176200
oai:hal.archives-ouvertes.fr:hal-00176200
Contributeur : Katy Remy <>
Soumis le : Mardi 2 Octobre 2007, 18:44:37
Dernière modification le : Mardi 17 Mars 2009, 18:15:33

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arXiv : 0709.4367

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