On the Performance of Voltage Stepping for the Simulation of Adaptive, Nonlinear Integrate-and-Fire Neuronal Networks
Identifieur interne : 000154 ( PascalFrancis/Corpus ); précédent : 000153; suivant : 000155On the Performance of Voltage Stepping for the Simulation of Adaptive, Nonlinear Integrate-and-Fire Neuronal Networks
Auteurs : MOHAMED GHAITH KAABI ; Arnaud Tonnelier ; Dominique MartinezSource :
- Neural computation [ 0899-7667 ] ; 2011.
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- Pascal (Inist)
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Abstract
In traditional event-driven strategies, spike timings are analytically given or calculated with arbitrary precision (up to machine precision). Exact computation is possible only for simplified neuron models, mainly the leaky integrate-and-fire model. In a recent paper, Zheng, Tonnelier, and Martinez (2009) introduced an approximate event-driven strategy, named voltage stepping, that allows the generic simulation of nonlinear spiking neurons. Promising results were achieved in the simulation of single quadratic integrate-and-fire neurons. Here, we assess the performance of voltage stepping in network simulations by considering more complex neurons (quadratic integrate-and-fire neurons with adaptation) coupled with multiple synapses. To handle the discrete nature of synaptic interactions, we recast voltage stepping in a general framework, the discrete event system specification. The efficiency of the method is assessed through simulations and comparisons with a modified time-stepping scheme of the Runge-Kutta type. We demonstrated numerically that the original order of voltage stepping is preserved when simulating connected spiking neurons, independent of the network activity and connectivity.
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Format Inist (serveur)
NO : | PASCAL 11-0202710 INIST |
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ET : | On the Performance of Voltage Stepping for the Simulation of Adaptive, Nonlinear Integrate-and-Fire Neuronal Networks |
AU : | MOHAMED GHAITH KAABI; TONNELIER (Arnaud); MARTINEZ (Dominique) |
AF : | Unité Mixte de Recherche 7503, LORIA, CNRS/54506 Vandoeuvre-lès-Nancy/France (1 aut.); INRIA/38334 Saint Ismier/France (2 aut.); Unité Mixte de Recherche 7503, LORIA, CNRS, 54506 Unndoeamre-lès-Narvcy, France, and Unité Mixte de Recherche 1272, Physiologie de l'Insecte Signalisation et Communication, Institut National de la Recherche Agronomique/78026 Versailles/France (3 aut.) |
DT : | Publication en série; Niveau analytique |
SO : | Neural computation; ISSN 0899-7667; Etats-Unis; Da. 2011; Vol. 23; No. 5; Pp. 1187-1204; Bibl. 1 p.1/4 |
LA : | Anglais |
EA : | In traditional event-driven strategies, spike timings are analytically given or calculated with arbitrary precision (up to machine precision). Exact computation is possible only for simplified neuron models, mainly the leaky integrate-and-fire model. In a recent paper, Zheng, Tonnelier, and Martinez (2009) introduced an approximate event-driven strategy, named voltage stepping, that allows the generic simulation of nonlinear spiking neurons. Promising results were achieved in the simulation of single quadratic integrate-and-fire neurons. Here, we assess the performance of voltage stepping in network simulations by considering more complex neurons (quadratic integrate-and-fire neurons with adaptation) coupled with multiple synapses. To handle the discrete nature of synaptic interactions, we recast voltage stepping in a general framework, the discrete event system specification. The efficiency of the method is assessed through simulations and comparisons with a modified time-stepping scheme of the Runge-Kutta type. We demonstrated numerically that the original order of voltage stepping is preserved when simulating connected spiking neurons, independent of the network activity and connectivity. |
CC : | 001D02C07; 001D02C02; 002A01B |
FD : | Réseau neuronal; Calcul neuronal; Neurone impulsionnel; Adaptation; Synapse; Système événement discret; Spécification; Méthode Runge Kutta; Connectivité graphe; Potentiel action; Timing; Neurone integrate-and-fire |
ED : | Neural network; Neural computation; Spiking neuron; Adaptation; Synapse; Discrete event system; Specification; Runge Kutta method; Graph connectivity; Spike; Timing; Integrate-and-fire neuron |
SD : | Red neuronal; computación neuronal; Neurona pulsante; Adaptación; Sinapsis; Sistema acontecimiento discreto; Especificación; Método Runge Kutta; Conectividad grafo |
LO : | INIST-22595.354000192931180030 |
ID : | 11-0202710 |
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Pascal:11-0202710Le document en format XML
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<front><div type="abstract" xml:lang="en">In traditional event-driven strategies, spike timings are analytically given or calculated with arbitrary precision (up to machine precision). Exact computation is possible only for simplified neuron models, mainly the leaky integrate-and-fire model. In a recent paper, Zheng, Tonnelier, and Martinez (2009) introduced an approximate event-driven strategy, named voltage stepping, that allows the generic simulation of nonlinear spiking neurons. Promising results were achieved in the simulation of single quadratic integrate-and-fire neurons. Here, we assess the performance of voltage stepping in network simulations by considering more complex neurons (quadratic integrate-and-fire neurons with adaptation) coupled with multiple synapses. To handle the discrete nature of synaptic interactions, we recast voltage stepping in a general framework, the discrete event system specification. The efficiency of the method is assessed through simulations and comparisons with a modified time-stepping scheme of the Runge-Kutta type. We demonstrated numerically that the original order of voltage stepping is preserved when simulating connected spiking neurons, independent of the network activity and connectivity.</div>
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