Kopell N, Ermentrout GB. (1986). Parabolic bursting in an excitable system coupled with a slow oscillation. Siam J Appl Math. 46

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References and models cited by this paper
References and models that cite this paper

Alidousti J, Ghaziani RK. (2017). Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model Mathematical Models and Computer Simulations. 9

Badel L et al. (2008). Dynamic I-V curves are reliable predictors of naturalistic pyramidal-neuron voltage traces. Journal of neurophysiology. 99 [PubMed]

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

Brette R. (2006). Exact simulation of integrate-and-fire models with synaptic conductances. Neural computation. 18 [PubMed]

Brette R et al. (2007). Simulation of networks of spiking neurons: a review of tools and strategies. Journal of computational neuroscience. 23 [PubMed]

Brunel N, Hansel D. (2006). How noise affects the synchronization properties of recurrent networks of inhibitory neurons. Neural computation. 18 [PubMed]

Börgers C, Kopell N. (2005). Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural computation. 17 [PubMed]

Börgers C, Kopell NJ. (2008). Gamma oscillations and stimulus selection. Neural computation. 20 [PubMed]

Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35

Gutkin B, Ermentrout GB, Rudolph M. (2003). Spike generating dynamics and the conditions for spike-time precision in cortical neurons. Journal of computational neuroscience. 15 [PubMed]

Hansel D, Mato G. (2003). Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons. Neural computation. 15 [PubMed]

Izhikevich EM. (2003). Simple model of spiking neurons. IEEE transactions on neural networks. 14 [PubMed]

Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]

Jolivet R, Lewis TJ, Gerstner W. (2004). Generalized integrate-and-fire models of neuronal activity approximate spike trains of a detailed model to a high degree of accuracy. Journal of neurophysiology. 92 [PubMed]

Kanamaru T. (2006). Analysis of synchronization between two modules of pulse neural networks with excitatory and inhibitory connections. Neural computation. 18 [PubMed]

Kömek K, Bard Ermentrout G, Walker CP, Cho RY. (2012). Dopamine and gamma band synchrony in schizophrenia--insights from computational and empirical studies. The European journal of neuroscience. 36 [PubMed]

La Camera G, Rauch A, Lüscher HR, Senn W, Fusi S. (2004). Minimal models of adapted neuronal response to in vivo-like input currents. Neural computation. 16 [PubMed]

Latham PE, Nirenberg S. (2004). Computing and stability in cortical networks. Neural computation. 16 [PubMed]

Marinazzo D, Kappen HJ, Gielen SC. (2007). Input-driven oscillations in networks with excitatory and inhibitory neurons with dynamic synapses. Neural computation. 19 [PubMed]

Marpeau F, Barua A, Josić K. (2009). A finite volume method for stochastic integrate-and-fire models. Journal of computational neuroscience. 26 [PubMed]

Mishra D, Yadav A, Ray S, Kalra PK. (2005). Nonlinear Dynamical Analysis on Coupled Modified Fitzhugh-Nagumo Neuron Model Advances in Neural Network - ISNN 2005 , Lecture notes in Computer Science. 3496/2005

Mondal A, Upadhyay RK. (2018). Diverse neuronal responses of a fractional-order Izhikevich model: journey from chattering to fast spiking Nonlinear Dynamics. 91

Naundorf B, Geisel T, Wolf F. (2005). Action potential onset dynamics and the response speed of neuronal populations. Journal of computational neuroscience. 18 [PubMed]

Paninski L. (2006). The most likely voltage path and large deviations approximations for integrate-and-fire neurons. Journal of computational neuroscience. 21 [PubMed]

Pfeuty B, Mato G, Golomb D, Hansel D. (2003). Electrical synapses and synchrony: the role of intrinsic currents. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]

Pfeuty B, Mato G, Golomb D, Hansel D. (2005). The combined effects of inhibitory and electrical synapses in synchrony. Neural computation. 17 [PubMed]

Rubin JE, Hayes JA, Mendenhall JL, Del Negro CA. (2009). Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations. Proceedings of the National Academy of Sciences of the United States of America. 106 [PubMed]

Tonnelier A, Belmabrouk H, Martinez D. (2007). Event-driven simulations of nonlinear integrate-and-fire neurons. Neural computation. 19 [PubMed]

Versace M, Ames H, Léveillé J, Fortenberry B, Gorchetchnikov A. (2008). KInNeSS: a modular framework for computational neuroscience. Neuroinformatics. 6 [PubMed]

Vich C, Berg RW, Guillamon A, Ditlevsen S. (2017). Estimation of Synaptic Conductances in Presence of Nonlinear Effects Caused by Subthreshold Ionic Currents. Frontiers in computational neuroscience. 11 [PubMed]

Wu HY, Baer SM. (1998). Analysis of an excitable dendritic spine with an activity-dependent stem conductance. Journal of mathematical biology. 36 [PubMed]

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