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Fitzhugh R (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophys J 1:445-66 [PubMed]

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 9:390-403 [Journal]

Bhalla US (2017) Synaptic input sequence discrimination on behavioral time-scales mediated by reaction-diffusion chemistry in dendrites. Elife [Journal] [PubMed]

   Discrimination on behavioral time-scales mediated by reaction-diffusion in dendrites (Bhalla 2017) [Model]

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

Clewley R, Rotstein HG, Kopell N (2005) A Computational Tool for the Reduction of Nonlinear ODE Systems Possessing Multiple Scales Multiscale modeling & simulation 4(3):732-759 [Journal]

   Reduction of nonlinear ODE systems possessing multiple scales (Clewley et al. 2005) [Model]

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]

Doi S, Kumagai S (2005) Generation of Very Slow Neuronal Rhythms and Chaos Near the Hopf Bifurcation in Single Neuron Models J Comp Neurosci 19:325-356 [Journal]

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]

He Y, Keyes DE (2007) Reconstructing parameters of the FitzHugh-Nagumo system from boundary potential measurements. J Comput Neurosci 23:251-64 [Journal] [PubMed]

Hindmarsh JL, Rose RM (1984) A model of neuronal bursting using three coupled first order differential equations. Proc R Soc Lond B Biol Sci 221:87-102 [Journal] [PubMed]

   A model of neuronal bursting using three coupled first order diff. eqs. (Hindmarsh & Rose 1984) [Model]

Hong S, Aguera y Arcas B, Fairhall AL (2007) Single neuron computation: from dynamical system to feature detector. Neural Comput 19:3133-72 [PubMed]

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]

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. J Neurophysiol 92:959-76 [Journal] [PubMed]

   Spike Response Model simulator (Jolivet et al. 2004, 2006, 2008) [Model]

Kosmidis EK, Pakdaman K (2003) An Analysis of the Reliability Phenomenon in the FitzHugh-Nagumo Model Journal of Computational Neuroscience 14:5-22 [Journal]

Large EW, Crawford JD (2002) Auditory Temporal Computation: Interval Selectivity Based on Post-Inhibitory Rebound J Comput Neurosci 13:125-142 [Journal]

Lytton WW, Wathey JC (1992) Realistic single-neuron modeling Seminars In Neuroscience 4:15-25

Maia PD, Kutz JN (2014) Compromised axonal functionality after neurodegeneration, concussion and/or traumatic brain injury. J Comput Neurosci 37:317-32 [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]

Naze S, Bernard C, Jirsa V (2015) Computational modeling of seizure dynamics using coupled neuronal networks: factors shaping epileptiform activity. PLoS Comput Biol 11:e1004209 [Journal] [PubMed]

   Multiscale modeling of epileptic seizures (Naze et al. 2015) [Model]

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, Ratte 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 [PubMed]

Rall W, Shepherd GM (1968) Theoretical reconstruction of field potentials and dendrodendritic synaptic interactions in olfactory bulb. J Neurophysiol 31:884-915 [Journal] [PubMed]

   Theoretical reconstrucion of field potentials and dendrodendritic synaptic...(Rall & Shepherd 1968) [Model]

Rempe MJ, Best J, Terman D (2010) A mathematical model of the sleep-wake cycle J Mathematical Biology 60:615-44 [Journal] [PubMed]

   Human sleep/wake cycle (Rempe et al. 2010) [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 [PubMed]

Sterratt D, Graham B, Gillies A, Willshaw D (2011) Principles of Computational Modelling in Neuroscience, Cambridge University Press :1-401 [Journal]

   Principles of Computational Modelling in Neuroscience (Book) (Sterratt et al. 2011) [Model]

Stewart RD, Bair W (2009) Spiking neural network simulation: numerical integration with the Parker-Sochacki method. J Comput Neurosci [Journal] [PubMed]

   Numerical Integration of Izhikevich and HH model neurons (Stewart and Bair 2009) [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]

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

Van Pottelbergh T, Drion G, Sepulchre R (2018) Robust Modulation of Integrate-and-Fire Models. Neural Comput 30:987-1011 [Journal] [PubMed]

   Robust modulation of integrate-and-fire models (Van Pottelbergh et al 2018) [Model]

Veredas FJ, Vico FJ, Alonso JM (2005) Factors determining the precision of the correlated firing generated by a monosynaptic connection in the cat visual pathway. J Physiol 567:1057-78 [PubMed]

Via G, Faber J, Cavalheiro EA (2017) Computational Models for the Propagation of┬áSpreading Depression Waves Computational Neuroscience, Barone, Dante Augusto Couto and Teles, Eduardo Oliveira and Brackmann, Christian Puhlmann, ed. pp.49 [Journal]

Visser S, Van Gils SA (2014) Lumping Izhikevich neurons EPJ Nonlinear Biomedical Physics 25(12):6 [Journal]

   Norns - Neural Network Studio (Visser & Van Gils 2014) [Model]

Wang XJ (1994) Multiple dynamical modes of thalamic relay neurons: rhythmic bursting and intermittent phase-locking. Neuroscience 59(1):21-31 [Journal] [PubMed]

   Multiple dynamical modes of thalamic relay neurons (Wang XJ 1994) [Model]

Weaver CM, Wearne SL (2006) The role of action potential shape and parameter constraints in optimization of compartment models Neurocomputing 69:1053-1057 [Journal]

   AP shape and parameter constraints in optimization of compartment models (Weaver and Wearne 2006) [Model]

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