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Touboul J, Brette R (2008) Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. Biol Cybern 99:319-34 [PubMed]

   Brette-Gerstner model (Touboul and Brette 2008)

References and models cited by this paper

References and models that cite this paper

Angelino E, Brenner MP (2007) Excitability constraints on voltage-gated sodium channels. PLoS Comput Biol 3:1751-60 [Journal] [PubMed]
Badel L, Lefort S, Brette R, Petersen CC, Gerstner W, Richardson MJ (2008) Dynamic I-V curves are reliable predictors of naturalistic pyramidal-neuron voltage traces. J Neurophysiol 99:656-66 [Journal] [PubMed]
Brette R (2004) Dynamics of one-dimensional spiking neuron models. J Math Biol 48:38-56 [Journal] [PubMed]
   Phase locking in leaky integrate-and-fire model (Brette 2004) [Model]
Brette R, Gerstner W (2005) Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. J Neurophysiol 94:3637-42 [Journal] [PubMed]
   Adaptive exponential integrate-and-fire model (Brette & Gerstner 2005) [Model]
Clopath C, Jolivet R, Rauch A, Luscher HR, Gerstner W (2007) Predicting neuronal activity with simple models of the threshold type: adaptive exponential integrate-and-fire model with two compartments Neurocomput 70:1668-1673
Fourcaud-Trocmé N, Hansel D, van Vreeswijk C, Brunel N (2003) How spike generation mechanisms determine the neuronal response to fluctuating inputs. J Neurosci 23:11628-40 [PubMed]
Gerstner W, Kistler WM (2002) Spiking neuron models
Goodman D, Brette R (2008) Brian: a simulator for spiking neural networks in python. Front Neuroinform 2:5 [Journal] [PubMed]
Hille B (2001) Ion channels of excitable membranes (3rd Ed) :445-452
Izhikevich EM (2004) Which model to use for cortical spiking neurons? IEEE Trans Neural Netw 15:1063-70 [Journal] [PubMed]
   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]
Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W (2008) A benchmark test for a quantitative assessment of simple neuron models. J Neurosci Methods 169:417-24 [Journal] [PubMed]
   Spike Response Model simulator (Jolivet et al. 2004, 2006, 2008) [Model]
Lapicque L (1907) Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen 9:620-635 [Journal]
Markram H, Toledo-Rodriguez M, Wang Y, Gupta A, Silberberg G, Wu C (2004) Interneurons of the neocortical inhibitory system. Nat Rev Neurosci 5:793-807 [Journal] [PubMed]
Naud R, Marcille N, Clopath C, Gerstner W (2008) Firing patterns in the adaptive exponential integrate-and-fire model. Biol Cybern 99:335-47 [Journal] [PubMed]
Touboul J (2008) Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Siam Appl Math 68:1045-1079
Touboul J, Brette R (2008) Spiking dynamics of bidimensional integrate-and-fire neurons SIAM J Appl Dyn Syst 8(4):1462-1506 [Journal]
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