Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons

Journal of Mathematical Neuroscience

Volumn 2, Issue 1, 2012, Pages

  Baladron, Javier ^a   Fasoli, Diego ^a   Faugeras, Olivier ^a,b   Touboul, Jonathan ^a,c  

^a INRIA   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c CNRS   (France)

Author keywords

Fitzhugh nagumo neurons; Fokker planck equations; Hodgkin huxley neurons; Mckean vlasov equations; Mean field limits; Neural assemblies; Neural networks; Propagation of chaos; Stochastic differential equations

Indexed keywords

VOLTAGE GATED SODIUM CHANNEL;

ARTICLE; CONDUCTANCE; FITZHUGH NAGUMO MODEL; HODGKIN HYXLEY MODEL; MATHEMATICAL MODEL; NERVE CELL; NERVE CELL MEMBRANE; NERVE CELL MEMBRANE POTENTIAL; NERVE CELL NETWORK; PRIORITY JOURNAL; PROBABILITY; STOCHASTIC MODEL; SYNAPSE;

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; FOKKER PLANCK EQUATION; NEURAL NETWORKS; NEURONS; PROBABILITY DISTRIBUTIONS; STOCHASTIC SYSTEMS; TIMING JITTER; VLASOV EQUATION;

FITZHUGH NAGUMO NEURONS; HODGKIN-HUXLEY NEURON; MCKEAN-VLASOV EQUATIONS; MEAN FIELD LIMITS; STOCHASTIC DIFFERENTIAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 84861896478     PISSN: None     EISSN: 21908567     Source Type: Journal    
DOI: 10.1186/2190-8567-2-10     Document Type: Article

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