Citation Relationships



Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition, Segev I, Koch C, ed. pp.251

References and models cited by this paper

References and models that cite this paper

Ashida G, Abe K, Funabiki K, Konishi M (2007) Passive soma facilitates submillisecond coincidence detection in the owl's auditory system. J Neurophysiol 97:2267-82 [Journal] [PubMed]

Beer RD (2006) Parameter space structure of continuous-time recurrent neural networks. Neural Comput 18:3009-51 [Journal] [PubMed]

Bendels MH, Leibold C (2007) Generation of theta oscillations by weakly coupled neural oscillators in the presence of noise. J Comput Neurosci 22:173-89 [Journal] [PubMed]

Bertram R, Rhoads J, Cimbora WP (2008) A phantom bursting mechanism for episodic bursting. Bull Math Biol 70:1979-93 [Journal] [PubMed]

  • A phantom bursting mechanism for episodic bursting (Bertram et al 2008) [Model]

Bogaard A, Parent J, Zochowski M, Booth V (2009) Interaction of cellular and network mechanisms in spatiotemporal pattern formation in neuronal networks. J Neurosci 29:1677-87 [Journal] [PubMed]

  • Small world networks of Type I and Type II Excitable Neurons (Bogaard et al. 2009) [Model]

Börgers C, Kopell N (2005) Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comput 17:557-608 [Journal] [PubMed]

Bose A, Booth V, Recce M (2000) A temporal mechanism for generating the phase precession of hippocampal place cells. J Comput Neurosci 9:5-30 [PubMed]

Brown E, Moehlis J, Holmes P (2004) On the phase reduction and response dynamics of neural oscillator populations. Neural Comput 16:673-715 [Journal] [PubMed]

Brunel N, Hansel D (2006) How noise affects the synchronization properties of recurrent networks of inhibitory neurons. Neural Comput 18:1066-110 [Journal] [PubMed]

Buchin A, Rieubland S, Häusser M, Gutkin BS, Roth A (2016) Inverse Stochastic Resonance in Cerebellar Purkinje Cells. PLoS Comput Biol 12:e1005000 [Journal] [PubMed]

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

Christodoulou C, Bugmann G, Clarkson T (2002) A Spiking Neuron Model: Applications and Learning. Neural Networks 15:891-908

Coggan JS, Ocker GK, Sejnowski TJ, Prescott SA (2011) Explaining pathological changes in axonal excitability through dynamical analysis of conductance-based models. J Neural Eng 8:065002 [Journal] [PubMed]

  • Explaining pathological changes in axonal excitability by dynamical analysis (Coggan et al. 2011) [Model]

Coggan JS, Prescott SA, Bartol TM, Sejnowski TJ (2010) Imbalance of ionic conductances contributes to diverse symptoms of demyelination. Proc Natl Acad Sci U S A 107:20602-9 [Journal] [PubMed]

Coskren PJ, Luebke JI, Kabaso D, Wearne SL, Yadav A, Rumbell T, Hof PR, Weaver CM (2015) Functional consequences of age-related morphologic changes to pyramidal neurons of the rhesus monkey prefrontal cortex. J Comput Neurosci 38:263-83 [Journal] [PubMed]

  • Rhesus Monkey Layer 3 Pyramidal Neurons: Young vs aged PFC (Coskren et al. 2015) [Model]

Doiron B, Laing C, Longtin A, Maler L (2002) Ghostbursting: a novel neuronal burst mechanism. J Comput Neurosci 12:5-25 [PubMed]

Doiron B, Oswald AM, Maler L (2007) Interval coding. II. Dendrite-dependent mechanisms. J Neurophysiol 97:2744-57 [Journal] [PubMed]

Durstewitz D, Gabriel T (2007) Dynamical basis of irregular spiking in NMDA-driven prefrontal cortex neurons. Cereb Cortex 17:894-908 [Journal] [PubMed]

  • Irregular spiking in NMDA-driven prefrontal cortex neurons (Durstewitz and Gabriel 2006) [Model]

Fernandez FR, Engbers JD, Turner RW (2007) Firing dynamics of cerebellar purkinje cells. J Neurophysiol 98:278-94 [Journal] [PubMed]

Fernandez FR, Mehaffey WH, Turner RW (2005) Dendritic Na+ current inactivation can increase cell excitability by delaying a somatic depolarizing afterpotential. J Neurophysiol 94:3836-48 [Journal] [PubMed]

  • Dendritic Na inactivation drives a decrease in ISI (Fernandez et al 2005) [Model]

Galán RF, Ermentrout GB, Urban NN (2005) Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. Phys Rev Lett 94:158101 [Journal] [PubMed]

Goldwyn JH, Shea-Brown E (2011) The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS Comput Biol 7:e1002247 [Journal] [PubMed]

  • Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) (pylab) [Model]
  • Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) [Model]

Golomb D, Donner K, Shacham L, Shlosberg D, Amitai Y, Hansel D (2007) Mechanisms of firing patterns in fast-spiking cortical interneurons. PLoS Comput Biol 3:e156 [Journal] [PubMed]

  • Fast-spiking cortical interneuron (Golomb et al. 2007) [Model]

Golomb D, Shedmi A, Curtu R, Ermentrout GB (2006) Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: a modeling study. J Neurophysiol 95:1049-67 [Journal] [PubMed]

  • Persistent synchronized bursting activity in cortical tissues (Golomb et al 2005) [Model]

Golomb D, Yue C, Yaari Y (2006) Contribution of persistent Na+ current and M-type K+ current to somatic bursting in CA1 pyramidal cells: combined experimental and modeling study. J Neurophysiol 96:1912-26 [Journal] [PubMed]

  • CA1 pyramidal cell: I_NaP and I_M contributions to somatic bursting (Golomb et al 2006) [Model]

Gottschalk A, Haney P (2003) Computational aspects of anesthetic action in simple neural models. Anesthesiology 98:548-64 [PubMed]

Grimbert F, Faugeras O (2006) Bifurcation analysis of Jansen's neural mass model. Neural Comput 18:3052-68 [Journal] [PubMed]

Gutkin B, Ermentrout GB, Rudolph M (2003) Spike generating dynamics and the conditions for spike-time precision in cortical neurons. J Comput Neurosci 15:91-103 [Journal] [PubMed]

Harish O, Golomb D (2010) Control of the firing patterns of vibrissa motoneurons by modulatory and phasic synaptic inputs: a modeling study. J Neurophysiol 103:2684-99 [Journal] [PubMed]

  • Control of vibrissa motoneuron firing (Harish and Golomb 2010) [Model]

Hayut I, Fanselow EE, Connors BW, Golomb D (2011) LTS and FS inhibitory interneurons, short-term synaptic plasticity, and cortical circuit dynamics. PLoS Comput Biol 7:e1002248 [Journal] [PubMed]

  • Rate model of a cortical RS-FS-LTS network (Hayut et al. 2011) [Model]

Jalil S, Grigull J, Skinner FK (2004) Novel bursting patterns emerging from model inhibitory networks with synaptic depression. J Comput Neurosci 17:31-45 [Journal] [PubMed]

Jeong HY, Gutkin B (2007) Synchrony of neuronal oscillations controlled by GABAergic reversal potentials. Neural Comput 19:706-29 [Journal] [PubMed]

Komendantov AO, Komendantova OG, Johnson SW, Canavier CC (2004) A modeling study suggests complementary roles for GABAA and NMDA receptors and the SK channel in regulating the firing pattern in midbrain dopamine neurons. J Neurophysiol 91:346-57 [Journal] [PubMed]

  • Regulation of the firing pattern in dopamine neurons (Komendantov et al 2004) [Model]

Kosmidis EK, Pakdaman K (2003) An analysis of the reliability phenomenon in the FitzHugh-Nagumo model. J Comput Neurosci 14:5-22 [PubMed]

Laing CR, Doiron B, Longtin A, Noonan L, Turner RW, Maler L (2003) Type I burst excitability. J Comput Neurosci 14:329-42 [PubMed]

Loewenstein Y, Mahon S, Chadderton P, Kitamura K, Sompolinsky H, Yarom Y, Häusser M (2005) Bistability of cerebellar Purkinje cells modulated by sensory stimulation. Nat Neurosci 8:202-11 [Journal] [PubMed]

Lundstrom BN, Famulare M, Sorensen LB, Spain WJ, Fairhall AL (2009) Sensitivity of firing rate to input fluctuations depends on time scale separation between fast and slow variables in single neurons J Comput Neurosci [Journal]

  • Hodgkin-Huxley simplifed 2D and 3D models (Lundstrom et al. 2009) [Model]

Maex R, De Schutter E (2003) Resonant synchronization in heterogeneous networks of inhibitory neurons. J Neurosci 23:10503-14 [Journal] [PubMed]

  • Fast oscillations in inhibitory networks (Maex, De Schutter 2003) [Model]

Mandelblat Y, Etzion Y, Grossman Y, Golomb D (2001) Period doubling of calcium spike firing in a model of a Purkinje cell dendrite. J Comput Neurosci 11:43-62 [PubMed]

Masuda N, Doiron B, Longtin A, Aihara K (2005) Coding of temporally varying signals in networks of spiking neurons with global delayed feedback. Neural Comput 17:2139-75 [Journal] [PubMed]

Mehaffey WH, Fernandez FR, Maler L, Turner RW (2007) Regulation of burst dynamics improves differential encoding of stimulus frequency by spike train segregation. J Neurophysiol 98:939-51 [Journal] [PubMed]

Oh M, Matveev V (2009) Loss of phase-locking in non-weakly coupled inhibitory networks of type-I model neurons. J Comput Neurosci 26:303-20 [Journal] [PubMed]

  • Loss of phase-locking in non-weakly coupled inhib. networks of type-I neurons (Oh and Matveev 2009) [Model]

Osan R, Ermentrout GB (2002) The evolution of synaptically generated waves in one- and two-dimensional domains Physica D 163:217-235

Pfeuty B, Mato G, Golomb D, Hansel D (2003) Electrical synapses and synchrony: the role of intrinsic currents. J Neurosci 23:6280-94 [PubMed]

Prescott SA, De Koninck Y, Sejnowski TJ (2008) Biophysical basis for three distinct dynamical mechanisms of action potential initiation. PLoS Comput Biol 4:e1000198 [Journal] [PubMed]

  • Dynamics of Spike Initiation (Prescott et al. 2008) [Model]

Prescott SA, Ratté S, De Koninck Y, Sejnowski TJ (2006) Nonlinear interaction between shunting and adaptation controls a switch between integration and coincidence detection in pyramidal neurons. J Neurosci 26:9084-97 [Journal] [PubMed]

Prescott SA, Ratté S, De Koninck Y, Sejnowski TJ (2008) Pyramidal neurons switch from integrators in vitro to resonators under in vivo-like conditions. J Neurophysiol 100:3030-42 [Journal] [PubMed]

  • Pyramidal neurons switch from integrators to resonators (Prescott et al. 2008) [Model]

Prescott TJ, Montes González FM, Gurney K, Humphries MD, Redgrave P (2006) A robot model of the basal ganglia: behavior and intrinsic processing. Neural Netw 19:31-61 [Journal] [PubMed]

  • A contracting model of the basal ganglia (Girard et al. 2008) [Model]

Rho YA, Prescott SA (2012) Identification of molecular pathologies sufficient to cause neuropathic excitability in primary somatosensory afferents using dynamical systems theory. PLoS Comput Biol 8:e1002524 [Journal] [PubMed]

  • Dorsal root ganglion (primary somatosensory) neurons (Rho & Prescott 2012) [Model]

Rowat P (2007) Interspike interval statistics in the stochastic Hodgkin-Huxley model: coexistence of gamma frequency bursts and highly irregular firing. Neural Comput 19:1215-50 [Journal] [PubMed]

Rubin JE (2005) Surprising effects of synaptic excitation. J Comput Neurosci 18:333-42 [Journal] [PubMed]

Santamaria F, Jaeger D, De Schutter E, Bower JM (2002) Modulatory effects of parallel fiber and molecular layer interneuron synaptic activity on purkinje cell responses to ascending segment input: a modeling study. J Comput Neurosci 13:217-35 [PubMed]

Saraga F, Ng L, Skinner FK (2006) Distal gap junctions and active dendrites can tune network dynamics. J Neurophysiol 95:1669-82 [Journal] [PubMed]

  • Hippocampal basket cell gap junction network dynamics (Saraga et al. 2006) [Model]

Schultheiss NW, Edgerton JR, Jaeger D (2010) Phase response curve analysis of a full morphological globus pallidus neuron model reveals distinct perisomatic and dendritic modes of synaptic integration. J Neurosci 30:2767-82 [Journal] [PubMed]

  • GP Neuron, somatic and dendritic phase response curves (Schultheiss et al. 2011) [Model]

Segev I, Rall W (1998) Excitable dendrites and spines: earlier theoretical insights elucidate recent direct observations. Trends Neurosci 21:453-60 [PubMed]

Shao J, Lai D, Meyer U, Luksch H, Wessel R (2009) Generating oscillatory bursts from a network of regular spiking neurons without inhibition. J Comput Neurosci 27:591-606 [Journal] [PubMed]

  • Generating oscillatory bursts from a network of regular spiking neurons (Shao et al. 2009) [Model]

Sim CK, Forger DB (2007) Modeling the electrophysiology of suprachiasmatic nucleus neurons. J Biol Rhythms 22:445-53 [Journal] [PubMed]

Tabak J, O'Donovan MJ, Rinzel J (2006) Differential control of active and silent phases in relaxation models of neuronal rhythms. J Comput Neurosci 21:307-28 [Journal] [PubMed]

Tabak J, Toporikova N, Freeman ME, Bertram R (2007) Low dose of dopamine may stimulate prolactin secretion by increasing fast potassium currents. J Comput Neurosci 22:211-22 [Journal] [PubMed]

  • Low dose of dopamine may stimulate prolactin secretion by increasing K currents (Tabak et al. 2006) [Model]

Teka W, Tabak J, Vo T, Wechselberger M, Bertram R (2011) The dynamics underlying pseudo-plateau bursting in a pituitary cell model. J Math Neurosci [Journal] [PubMed]

  • The dynamics underlying pseudo-plateau bursting in a pituitary cell model (Teka et al. 2011) [Model]

Tikidji-Hamburyan RA, Canavier CC (2020) Shunting Inhibition Improves Synchronization in Heterogeneous Inhibitory Interneuronal Networks with Type 1 Excitability Whereas Hyperpolarizing Inhibition is Better for Type 2 Excitability. eNeuro [Journal] [PubMed]

  • Cycle skipping in ING Type 1 / Type 2 networks (Tikidji-Hamburyan & Canavier 2020) [Model]

Tikidji-Hamburyan RA, Martínez JJ, White JA, Canavier CC (2015) Resonant Interneurons Can Increase Robustness of Gamma Oscillations. J Neurosci 35:15682-95 [Journal] [PubMed]

  • PIR gamma oscillations in network of resonators (Tikidji-Hamburyan et al. 2015) [Model]

Tikidji-Hamburyan RA, Narayana V, Bozkus Z, El-Ghazawi TA (2017) Software for Brain Network Simulations: A Comparative Study Front. Neuroinform. [Journal]

  • Brain networks simulators - a comparative study (Tikidji-Hamburyan et al 2017) [Model]

Tobin AE, Van Hooser SD, Calabrese RL (2006) Creation and reduction of a morphologically detailed model of a leech heart interneuron. J Neurophysiol 96:2107-20 [Journal] [PubMed]

Tonnelier A (2005) Categorization of neural excitability using threshold models. Neural Comput 17:1447-55 [PubMed]

Venugopal S, Travers JB, Terman DH (2007) A computational model for motor pattern switching between taste-induced ingestion and rejection oromotor behaviors. J Comput Neurosci 22:223-38 [Journal] [PubMed]

Vo T, Bertram R, Tabak J, Wechselberger M (2010) Mixed mode oscillations as a mechanism for pseudo-plateau bursting. J Comput Neurosci 28:443-58 [Journal] [PubMed]

  • Mixed mode oscillations as a mechanism for pseudo-plateau bursting (Vo et al. 2010) [Model]

Xu J, Clancy CE (2008) Ionic mechanisms of endogenous bursting in CA3 hippocampal pyramidal neurons: a model study. PLoS One 3:e2056 [Journal] [PubMed]

  • Ionic mechanisms of bursting in CA3 pyramidal neurons (Xu and Clancy 2008) [Model]

Zeldenrust F, Chameau PJ, Wadman WJ (2013) Reliability of spike and burst firing in thalamocortical relay cells. J Comput Neurosci 35:317-34 [Journal] [PubMed]

  • Reliability of Morris-Lecar neurons with added T, h, and AHP currents (Zeldenrust et al. 2013) [Model]

(68 refs)