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
Balachandar A, Prescott SA. (2018). Origin of heterogeneous spiking patterns from continuously distributed ion channel densities: a computational study in spinal dorsal horn neurons. The Journal of physiology. 596 [PubMed]
Bernander O, Douglas RJ, Martin KA, Koch C. (1991). Synaptic background activity influences spatiotemporal integration in single pyramidal cells. Proceedings of the National Academy of Sciences of the United States of America. 88 [PubMed]
Canavier CC. (1999). Sodium dynamics underlying burst firing and putative mechanisms for the regulation of the firing pattern in midbrain dopamine neurons: a computational approach. Journal of computational neuroscience. 6 [PubMed]
Canavier CC, Clark JW, Byrne JH. (1991). Simulation of the bursting activity of neuron R15 in Aplysia: role of ionic currents, calcium balance, and modulatory transmitters. Journal of neurophysiology. 66 [PubMed]
Channell P, Fuwape I, Neiman AB, Shilnikov AL. (2009). Variability of bursting patterns in a neuron model in the presence of noise. Journal of computational neuroscience. 27 [PubMed]
Cressman JR, Ullah G, Ziburkus J, Schiff SJ, Barreto E. (2009). The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics. Journal of computational neuroscience. 26 [PubMed]
Cymbalyuk G, Shilnikov A. (2005). Coexistence of tonic spiking oscillations in a leech neuron model. Journal of computational neuroscience. 18 [PubMed]
Destexhe A, Babloyantz A, Sejnowski TJ. (1993). Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. Biophysical journal. 65 [PubMed]
Diekman CO, Thomas PJ, Wilson CG. (2017). Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. Journal of neurophysiology. 118 [PubMed]
Doi S, Kumagai S. (2005). Generation of very slow neuronal rhythms and chaos near the Hopf bifurcation in single neuron models. Journal of computational neuroscience. 19 [PubMed]
Doiron B, Noonan L, Lemon N, Turner RW. (2003). Persistent Na+ current modifies burst discharge by regulating conditional backpropagation of dendritic spikes. Journal of neurophysiology. 89 [PubMed]
Durand DM, Hahn PJ. (2003). Bistability dynamics in simulations of neural activity in high-extracellular-potassium conditions. J Comput Neurosci. 11
Ermentrout GB, Terman DH. (2010). Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics. 35
Fröhlich F, Bazhenov M, Timofeev I, Steriade M, Sejnowski TJ. (2006). Slow state transitions of sustained neural oscillations by activity-dependent modulation of intrinsic excitability. The Journal of neuroscience : the official journal of the Society for Neuroscience. 26 [PubMed]
Govaerts W, Sautois B. (2005). The onset and extinction of neural spiking: a numerical bifurcation approach. Journal of computational neuroscience. 18 [PubMed]
Gruber AJ, Solla SA, Surmeier DJ, Houk JC. (2003). Modulation of striatal single units by expected reward: a spiny neuron model displaying dopamine-induced bistability. Journal of neurophysiology. 90 [PubMed]
Izhikevich EM. (2004). Which model to use for cortical spiking neurons? IEEE transactions on neural networks. 15 [PubMed]
Jin DZ, Ramazanoğlu FM, Seung HS. (2007). Intrinsic bursting enhances the robustness of a neural network model of sequence generation by avian brain area HVC. Journal of computational neuroscience. 23 [PubMed]
Kim CM, Nykamp DQ. (2017). The influence of depolarization block on seizure-like activity in networks of excitatory and inhibitory neurons. Journal of computational neuroscience. 43 [PubMed]
LoFaro T, Kopell N. (1999). Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. Journal of mathematical biology. 38 [PubMed]
Lánský P, Rodriguez R, Sacerdote L. (2004). Mean instantaneous firing frequency is always higher than the firing rate. Neural computation. 16 [PubMed]
Maex R, De Schutter E. (1998). Synchronization of golgi and granule cell firing in a detailed network model of the cerebellar granule cell layer. Journal of neurophysiology. 80 [PubMed]
Manor Y, Rinzel J, Segev I, Yarom Y. (1997). Low-amplitude oscillations in the inferior olive: a model based on electrical coupling of neurons with heterogeneous channel densities. Journal of neurophysiology. 77 [PubMed]
Maran SK, Sieling FH, Demla K, Prinz AA, Canavier CC. (2011). Responses of a bursting pacemaker to excitation reveal spatial segregation between bursting and spiking mechanisms. Journal of computational neuroscience. 31 [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
Platkiewicz J, Brette R. (2010). A threshold equation for action potential initiation. PLoS computational biology. 6 [PubMed]
Pospischil M et al. (2008). Minimal Hodgkin-Huxley type models for different classes of cortical and thalamic neurons. Biological cybernetics. 99 [PubMed]
Rowat PF, Elson RC. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of computational neuroscience. 16 [PubMed]
Sekerli M, Butera RJ. (2005). Oscillations in a Simple Neuromechanical System: Underlying Mechanisms J Comp Neurosci. 19
Shao J, Tsao TH, Butera R. (2006). Bursting without slow kinetics: a role for a small world? Neural computation. 18 [PubMed]
Stiefel KM, Englitz B, Sejnowski TJ. (2013). Origin of intrinsic irregular firing in cortical interneurons. Proceedings of the National Academy of Sciences of the United States of America. 110 [PubMed]
Stoop R et al. (2002). Collective bursting in layer IV. Synchronization by small thalamic inputs and recurrent connections. Brain research. Cognitive brain research. 13 [PubMed]
Szalisznyó K. (2006). Role of hyperpolarization-activated conductances in the lateral superior olive: a modeling study. Journal of computational neuroscience. 20 [PubMed]
Wu HY, Baer SM. (1998). Analysis of an excitable dendritic spine with an activity-dependent stem conductance. Journal of mathematical biology. 36 [PubMed]