Quantitative investigations of electrical nerve excitation treated as polarization, Biological Cybernetics, vol.35, issue.35, pp.341-349, 2007. ,
DOI : 10.1007/s00422-007-0189-6
A Review of the Integrate-and-fire Neuron Model: I. Homogeneous Synaptic Input, Biological Cybernetics, vol.68, issue.1, pp.1-19, 2006. ,
DOI : 10.1007/s00422-006-0068-6
Analysis of Nonlinear Noisy Integrate&Fire Neuron Models: blow-up and steady states, The Journal of Mathematical Neuroscience, vol.1, issue.1, 2011. ,
DOI : 10.1007/s11118-008-9093-5
Kinetic theory for neuronal network dynamics, Communications in Mathematical Sciences, vol.4, issue.1, pp.97-127, 2006. ,
DOI : 10.4310/CMS.2006.v4.n1.a4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.5844
Synchrony and Asynchrony in a Fully Stochastic Neural Network, Bulletin of Mathematical Biology, vol.10, issue.6, pp.1608-1633, 2008. ,
DOI : 10.1007/s11538-008-9311-8
Dynamics of Stochastic Neuronal Networks and the Connections to Random Graph Theory, Mathematical Modelling of Natural Phenomena, vol.5, issue.2, pp.26-66, 2010. ,
DOI : 10.1051/mmnp/20105202
Mathematical foundations of neuroscience, 2010. ,
DOI : 10.1007/978-0-387-87708-2
Dynamics of the Firing Probability of Noisy Integrate-and-Fire Neurons, Neural Computation, vol.19, issue.9, pp.2057-2110, 2002. ,
DOI : 10.1111/j.1469-7793.1998.715bv.x
Analysis of Synchronization in a Neural Population by a Population Density Approach, Mathematical Modelling of Natural Phenomena, vol.5, issue.2, pp.5-25, 2010. ,
DOI : 10.1051/mmnp/20105201
URL : https://hal.archives-ouvertes.fr/inria-00482420
Spiking neuron models, 2002. ,
DOI : 10.1017/cbo9780511815706
Dynamical Systems in Neuroscience, 2007. ,
A Simple and Stable Numerical Solution for the Population Density Equation, Neural Computation, vol.15, issue.9, pp.2129-2146, 2003. ,
DOI : 10.1007/BF00335237
Dynamical models of interacting neuron populations in visual cortex, pp.4-8, 1996. ,
The Approach of a Neuron Population Firing Rate to a New Equilibrium: An Exact Theoretical Result, Neural Computation, vol.12, issue.5, pp.1045-1055, 2000. ,
DOI : 10.1007/BF00335237
Critical Analysis of Dimension Reduction by a Moment Closure Method in a Population Density Approach to Neural Network Modeling, Neural Computation, vol.20, issue.8, pp.2032-92, 2007. ,
DOI : 10.1016/S0006-3495(72)86068-5
Synchronization of Pulse-Coupled Biological Oscillators, SIAM Journal on Applied Mathematics, vol.50, issue.6, pp.1645-1662, 1990. ,
DOI : 10.1137/0150098
Cascade-induced synchrony in stochastically driven neuronal networks, Physical Review E, vol.82, issue.4, 2010. ,
DOI : 10.1103/PhysRevE.82.041903
Dynamics of current-based, poisson driven, integrate-and-fire neuronal networks, Communications in Mathematical Sciences, vol.8, pp.541-600, 2010. ,
A population density appraoch that facilitates large-scale modeling of neural networks : analysis and an application to orientation tuning, Journal of Computational Neuroscience, vol.8, issue.1, pp.19-50, 2000. ,
DOI : 10.1023/A:1008912914816
On the simulation of large population of neurons, Journal of computational, vol.8, pp.51-63, 2000. ,
Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities, Journal of Computational Neuroscience, vol.97, issue.3, pp.369-392, 2009. ,
DOI : 10.1007/s10827-008-0117-3
Dynamics of a structured neuron population, Nonlinearity, vol.23, issue.1, pp.23-55, 2009. ,
DOI : 10.1088/0951-7715/23/1/003
URL : https://hal.archives-ouvertes.fr/hal-00387413
Transport equation in biology, 2007. ,
Nonlinear Renewal Equations, Mathematics Statistics, vol.1, pp.1-32, 2008. ,
DOI : 10.1007/978-0-8176-4713-1_4
Dynamics of neuronal populations : The equilibrium solution, Journal on Applied Mathematics, vol.60, pp.2009-2028, 2000. ,
Dynamics of neural populations: Stability and synchrony, Network: Computation in Neural Systems, vol.66, issue.1, pp.3-29, 2006. ,
DOI : 10.1007/BF00335237