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Rinzel J, Ermentrout GB (1989) Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks, Koch C:Segev I, ed. pp.135

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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 9:390-403 [Journal]
Balachandar A, Prescott SA (2018) Origin of heterogeneous spiking patterns from continuously distributed ion channel densities: a computational study in spinal dorsal horn neurons. J Physiol 596:1681-1697 [Journal] [PubMed]
   Origin of heterogeneous spiking patterns in spinal dorsal horn neurons (Balachandar & Prescott 2018) [Model]
Bernander O, Douglas RJ, Martin KA, Koch C (1991) Synaptic background activity influences spatiotemporal integration in single pyramidal cells. Proc Natl Acad Sci U S A 88:11569-73 [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. J Comput Neurosci 6:49-69 [PubMed]
   Midbrain dopamine neuron: firing patterns (Canavier 1999) [Model]
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. J Neurophysiol 66:2107-24 [Journal] [PubMed]
   Bursting activity of neuron R15 in Aplysia (Canavier et al 1991, Butera et al 1995) [Model]
Channell P, Fuwape I, Neiman AB, Shilnikov AL (2009) Variability of bursting patterns in a neuron model in the presence of noise. J Comput Neurosci 27:527-42 [Journal] [PubMed]
   Reduced leech heart interneuron (Channell et al. 2009) [Model]
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. J Comput Neurosci 26:159-70 [Journal] [PubMed]
   Single neuron with dynamic ion concentrations (Cressman et al. 2009) [Model]
Cymbalyuk G, Shilnikov A (2005) Coexistence of tonic spiking oscillations in a leech neuron model. J Comput Neurosci 18:255-63 [Journal] [PubMed]
Destexhe A, Babloyantz A, Sejnowski TJ (1993) Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. Biophys J 65:1538-52 [Journal] [PubMed]
   Thalamocortical Relay cell under current clamp in high-conductance state (Zeldenrust et al 2018) [Model]
Diekman CO, Thomas PJ, Wilson CG (2017) Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. J Neurophysiol 118:2194-2215 [Journal] [PubMed]
   Respiratory control model with brainstem CPG and sensory feedback (Diekman, Thomas, and Wilson 2017) [Model]
Doi S, Kumagai S (2005) Generation of very slow neuronal rhythms and chaos near the Hopf bifurcation in single neuron models. J Comput Neurosci 19:325-56 [Journal] [PubMed]
Doiron B, Noonan L, Lemon N, Turner RW (2003) Persistent Na+ current modifies burst discharge by regulating conditional backpropagation of dendritic spikes. J Neurophysiol 89:324-37 [Journal] [PubMed]
Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]
   Mathematical Foundations of Neuroscience (Ermentrout and Terman 2010) [Model]
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. J Neurosci 26:6153-62 [Journal] [PubMed]
Govaerts W, Sautois B (2005) The onset and extinction of neural spiking: a numerical bifurcation approach. J Comput Neurosci 18:265-74 [Journal] [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. J Neurophysiol 90:1095-114 [Journal] [PubMed]
   Spiny neuron model with dopamine-induced bistability (Gruber et al 2003) [Model]
Hahn PJ, Durand DM (2003) Bistability dynamics in simulations of neural activity in high-extracellular-potassium conditions. J Comput Neurosci 11:5-18 [Journal]
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]
Jin DZ, Ramazanoglu FM, Seung HS (2007) Intrinsic bursting enhances the robustness of a neural network model of sequence generation by avian brain area HVC. J Comput Neurosci 23:283-99 [Journal] [PubMed]
Kim CM, Nykamp DQ (2017) The influence of depolarization block on seizure-like activity in networks of excitatory and inhibitory neurons. J Comput Neurosci 43:65-79 [Journal] [PubMed]
   Modeling epileptic seizure induced by depolarization block (Kim & Dykamp 2017) [Model]
Lánský P, Rodriguez R, Sacerdote L (2004) Mean instantaneous firing frequency is always higher than the firing rate. Neural Comput 16:477-89 [PubMed]
LoFaro T, Kopell N (1999) Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. J Math Biol 38:479-533 [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. J Neurophysiol 80:2521-37 [Journal] [PubMed]
   Network model of the granular layer of the cerebellar cortex (Maex, De Schutter 1998) [Model]
   Cerebellar granular layer (Maex and De Schutter 1998) [Model]
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. J Neurophysiol 77:2736-52 [Journal] [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. J Comput Neurosci 31:419-40 [Journal] [PubMed]
   A four compartmental model for ABPD complex in crustacean pyloric network (Maran et al. 2011) [Model]
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 3496/2005:95-101 [Journal]
Platkiewicz J, Brette R (2010) A threshold equation for action potential initiation. PLoS Comput Biol 6:e1000850 [Journal] [PubMed]
   A threshold equation for action potential initiation (Platkiewicz & Brette 2010) [Model]
Rowat PF, Elson RC (2004) State-dependent effects of Na channel noise on neuronal burst generation. J Comput Neurosci 16:87-112 [Journal] [PubMed]
Sekerli M, Butera RJ (2005) Oscillations in a Simple Neuromechanical System: Underlying Mechanisms J Comp Neurosci 19:181-197 [Journal]
Shao J, Tsao TH, Butera R (2006) Bursting without slow kinetics: a role for a small world? Neural Comput 18:2029-35 [Journal] [PubMed]
Stiefel KM, Englitz B, Sejnowski TJ (2013) Origin of intrinsic irregular firing in cortical interneurons. Proc Natl Acad Sci U S A 110:7886-91 [Journal] [PubMed]
Stoop R, Blank D, Kern A, v d Vyver JJ, Christen M, Lecchini S, Wagner C (2002) Collective bursting in layer IV. Synchronization by small thalamic inputs and recurrent connections. Brain Res Cogn Brain Res 13:293-304 [PubMed]
Szalisznyó K (2006) Role of hyperpolarization-activated conductances in the lateral superior olive: a modeling study. J Comput Neurosci 20:137-52 [Journal] [PubMed]
Wu HY, Baer SM (1998) Analysis of an excitable dendritic spine with an activity-dependent stem conductance. J Math Biol 36:569-92 [PubMed]
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