Brette-Gerstner model (Touboul and Brette 2008)

Angelino E, Brenner MP. (2007). Excitability constraints on voltage-gated sodium channels. PLoS computational biology. 3 [PubMed]

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Brette R. (2004). Dynamics of one-dimensional spiking neuron models. Journal of mathematical biology. 48 [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. Journal of neurophysiology. 94 [PubMed]

• Adaptive exponential integrate-and-fire model (Brette & Gerstner 2005) [Model]

Brette R, Touboul J. (2008). Spiking dynamics of bidimensional integrate-and-fire neurons SIAM J Appl Dyn Syst. 8(4)

Fourcaud-Trocmé N, Hansel D, van Vreeswijk C, Brunel N. (2003). How spike generation mechanisms determine the neuronal response to fluctuating inputs. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

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Hille B. (2001). Ion channels of excitable membranes (3rd Ed).

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• Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Jolivet R et al. (2008). A benchmark test for a quantitative assessment of simple neuron models. Journal of neuroscience methods. 169 [PubMed]

• Spike Response Model simulator (Jolivet et al. 2004, 2006, 2008) [Model]

Kistler WM, Gerstner W. (2002). Spiking neuron models.

Lapicque L. (1907). Recherches quantitatives sur lexcitation electrique des nerfs traitee comme une polarisation J Physiol Pathol Gen. 9

Luscher HR, Gerstner W, Rauch A, Jolivet R, Clopath C. (2007). Predicting neuronal activity with simple models of the threshold type: adaptive exponential integrate-and-fire model with two compartments Neurocomput. 70

Markram H et al. (2004). Interneurons of the neocortical inhibitory system. Nature reviews. Neuroscience. 5 [PubMed]

Naud R, Marcille N, Clopath C, Gerstner W. (2008). Firing patterns in the adaptive exponential integrate-and-fire model. Biological cybernetics. 99 [PubMed]

Touboul J. (2008). Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Siam Appl Math. 68

Buchin A, Rieubland S, Häusser M, Gutkin BS, Roth A. (2016). Inverse Stochastic Resonance in Cerebellar Purkinje Cells. PLoS computational biology. 12 [PubMed]

• Inverse stochastic resonance of cerebellar Purkinje cell (Buchin et al. 2016) [Model]

Fardet T, Levina A. (2020). Simple Models Including Energy and Spike Constraints Reproduce Complex Activity Patterns and Metabolic Disruptions PLoS computational biology. 16 [PubMed]

• eLIF and mAdExp: energy-based integrate-and-fire neurons (Fardet and Levina 2020) [Model]

Malerba P, Krishnan GP, Fellous JM, Bazhenov M. (2016). Hippocampal CA1 Ripples as Inhibitory Transients. PLoS computational biology. 12 [PubMed]

• CA1 pyramidal cells, basket cells, ripples (Malerba et al 2016) [Model]