Analysis of Synchronization in a Neural Population by a Population Density Approach
HENRY, Jacques
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
TARNICERIU, Carmen Oana
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
HENRY, Jacques
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
TARNICERIU, Carmen Oana
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Leer menos
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Idioma
en
Article de revue
Este ítem está publicado en
Mathematical Modelling of Natural Phenomena. 2010-03, vol. 5, n° 2, p. 5-25
EDP Sciences
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Single neuron model
Population density approach
Synchronization
Orígen
Importado de HalCentros de investigación