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| HAL: inria-00482420, version 1 |
| DOI: 10.1051/mmnp/20105201 |
| See detailed view |  BibTeX,EndNote,... |
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| Mathematical Modelling of Natural Phenomena 5, 2 (2010) 5-25 |
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| Analysis of Synchronization in a Neural Population by a Population Density Approach |
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André Garenne 1Jacques Henry 2, 3 |
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| (2010-03) |
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| In this paper we deal with a model describing the evolution in time of the density of a neural population in a state space, where the state is given by Izhikevich's two - dimensional single neuron model. The main goal is to mathematically describe the occurrence of a significant phenomenon observed in neurons populations, the synchronization. To this end, we are making the transition to phase density population, and use Malkin theorem to calculate the phase deviations of a weakly coupled population model. |
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| 1: | Laboratoire Mouvement Adaptation Cognition (MAC) |
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Université Victor Segalen - Bordeaux II – CNRS : UMR5227 |
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| 2: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 3: | ANUBIS (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR |
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| Domain | : | Mathematics/Analysis of PDEs Life Sciences/Neurons and Cognition/Neurobiology |
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| Single neuron model – Population density approach – Synchronization |
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| inria-00482420, version 1 | |
| http://hal.inria.fr/inria-00482420 | |
| oai:hal.inria.fr:inria-00482420 | |
| From: Jacques Henry | |
| Submitted on: Monday, 10 May 2010 14:29:15 | |
| Updated on: Sunday, 16 May 2010 11:15:34 | |
