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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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
Pospischil M, Toledo-Rodriguez M, Monier C, Piwkowska Z, Bal T, Frégnac Y, Markram H, Destexhe A (2008) Minimal Hodgkin-Huxley type models for different classes of cortical and thalamic neurons. Biol Cybern 99:427-41 [Journal] [PubMed]
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] |