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Izhikevich EM (2003) Simple model of spiking neurons. IEEE Trans Neural Netw 14:1569-72[PubMed]

   Artificial neuron model (Izhikevich 2003, 2004, 2007)

References and models cited by this paper

References and models that cite this paper

Connors BW, Gutnick MJ (1990) Intrinsic firing patterns of diverse neocortical neurons. Trends Neurosci 13:99-104 [PubMed]

Ermentrout GB, Kopell N (1986) Parabolic bursting in an excitable system coupled with a slow oscillation. Siam J Appl Math 46:233-253

Gibson JR, Beierlein M, Connors BW (1999) Two networks of electrically coupled inhibitory neurons in neocortex. Nature 402:75-9 [PubMed]

Gray CM, McCormick DA (1996) Chattering cells: superficial pyramidal neurons contributing to the generation of synchronous oscillations in the visual cortex. Science 274:109-13 [PubMed]

Hoppensteadt FC, Izhikevich EM (1997) Weakly Connected Neural Networks :90

Hoppensteadt FC, Izhikevich EM (2002) Canonical neural models Brain Theory and Neural Networks, Arbib AM, ed.

Izhikevich EM () Resonate-and-fire neurons. Neural Netw 14:883-94 [PubMed]

Izhikevich EM (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266

Izhikevich EM (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting [Journal]

   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Izhikevich EM, Desai NS, Walcott EC, Hoppensteadt FC (2003) Bursts as a unit of neural information: selective communication via resonance. Trends Neurosci 26:161-7 [PubMed]

Abraham WC, Logan B, Wolff A, Benuskova L (2007) "Heterosynaptic" LTD in the dentate gyrus of anesthetized rat requires homosynaptic activity. J Neurophysiol 98:1048-51 [PubMed]

Anderson WS, Kudela P, Cho J, Bergey GK, Franaszczuk PJ (2007) Studies of stimulus parameters for seizure disruption using neural network simulations. Biol Cybern 97:173-94 [Journal] [PubMed]

   Network model with neocortical architecture (Anderson et al 2007,2012; Azhar et al 2012) [Model]
   Studies of stimulus parameters for seizure disruption using NN simulations (Anderson et al. 2007) [Model]

Balbi P, Massobrio P, Hellgren-Kotaleski J (2017) A single Markov-type kinetic model accounting for the macroscopic currents of all human voltage-gated sodium channel isoforms PLOS Computational Biology 13(9):e1005737 [Journal] [PubMed]

   A single kinetic model for all human voltage-gated sodium channels (Balbi et al, 2017) [Model]

Benuskova L, Abraham WC (2007) STDP rule endowed with the BCM sliding threshold accounts for hippocampal heterosynaptic plasticity. J Comput Neurosci 22:129-133 [Journal] [PubMed]

Brette R, Gerstner W (2005) Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. J Neurophysiol 94:3637-42 [Journal] [PubMed]

   Adaptive exponential integrate-and-fire model (Brette & Gerstner 2005) [Model]

Chavlis S, Petrantonakis PC, Poirazi P (2017) Dendrites of dentate gyrus granule cells contribute to pattern separation by controlling sparsity. Hippocampus 27:89-110 [Journal] [PubMed]

   Dentate Gyrus model including Granule cells with dendritic compartments (Chavlis et al 2017) [Model]

Cohen MX (2014) Fluctuations in oscillation frequency control spike timing and coordinate neural networks Journal of Neuroscience 34(27):8988-8998 [Journal]

   Input strength and time-varying oscillation peak frequency (Cohen MX 2014) [Model]

Dragly SA, Hobbi Mobarhan M, Våvang Solbrå A, Tennøe S, Hafreager A, Malthe-Sørenssen A, Fyhn M, Hafting T, Einevoll GT (2017) Neuronify: An Educational Simulator for Neural Circuits. eNeuro [Journal] [PubMed]

   Neuronify: An Educational Simulator for Neural Circuits (Dragly et al 2017) [Model]

Ermentrout B, Saunders D (2006) Phase resetting and coupling of noisy neural oscillators J Comput Neurosci 20:179-190 [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]

Ferguson KA, Huh CY, Amilhon B, Manseau F, Williams S, Skinner FK (2015) Network models provide insights into how oriens-lacunosum-moleculare and bistratified cell interactions influence the power of local hippocampal CA1 theta oscillations. Front Syst Neurosci 9:110 [Journal] [PubMed]

   CA1 SOM+ (OLM) hippocampal interneuron (Ferguson et al. 2015) [Model]

Ferguson KA, Huh CY, Amilhon B, Williams S, Skinner FK (2013) Experimentally constrained CA1 fast-firing parvalbumin-positive interneuron network models exhibit sharp transitions into coherent high frequency rhythms. Front Comput Neurosci 7:144 [Journal] [PubMed]

   CA1 PV+ fast-firing hippocampal interneuron (Ferguson et al. 2013) [Model]

Ferguson KA, Huh CY, Amilhon B, Williams S, Skinner FK (2014) Simple, biologically-constrained CA1 pyramidal cell models using an intact, whole hippocampus context. F1000Res 3:104 [Journal] [PubMed]

   CA1 pyramidal neuron (Ferguson et al. 2014) [Model]

Gewaltig MO, Cannon R (2014) Current practice in software development for computational neuroscience and how to improve it. PLoS Comput Biol 10:e1003376 [PubMed]

Gurney KN, Humphries MD, Redgrave P (2015) A new framework for cortico-striatal plasticity: behavioural theory meets in vitro data at the reinforcement-action interface. PLoS Biol 13:e1002034 [Journal] [PubMed]

   Cortico-striatal plasticity in medium spiny neurons (Gurney et al 2015) [Model]

Halfmann K, Crisp K (2011) A Kinematic Study of Pulsation in the Dorsal Blood Vessel of the blackworm, Lumbriculus variegatus IMPULSE-An Undergraduate Journal for Neuroscience :1-10 [Journal]

   Model of peristalsis in the dorsal blood vessel of Lumbriculus variegatus (Halfmann and Crisp 2011) [Model]

Horcholle-Bossavit G, Quenet B (2009) Neural model of frog ventilatory rhythmogenesis. Biosystems 97:35-43 [PubMed]

   Neural model of frog ventilatory rhythmogenesis (Horcholle-Bossavit and Quenet 2009) [Model]

Hummos A, Franklin CC, Nair SS (2014) Intrinsic mechanisms stabilize encoding and retrieval circuits differentially in a hippocampal network model. Hippocampus 24:1430-1448 [Journal] [PubMed]

   Role for short term plasticity and OLM cells in containing spread of excitation (Hummos et al 2014) [Model]

Hummos A, Nair SS (2017) An integrative model of the intrinsic hippocampal theta rhythm. PLoS One 12:e0182648 [Journal] [PubMed]

   Role for short term plasticity and OLM cells in containing spread of excitation (Hummos et al 2014) [Model]

Humphries MD, Gurney K (2007) Solution methods for a new class of simple model neurons. Neural Comput 19:3216-25 [PubMed]

Humphries MD, Lepora N, Wood R, Gurney K (2009) Capturing dopaminergic modulation and bimodal membrane behaviour of striatal medium spiny neurons in accurate, reduced models. Front Comput Neurosci 3:26 [Journal] [PubMed]

   Dopamine-modulated medium spiny neuron, reduced model (Humphries et al. 2009) [Model]

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]

Izhikevich EM (2005) Polychronization: Computation with Spikes Neural Comput 18:245-282 [Journal] [PubMed]

   Polychronization: Computation With Spikes (Izhikevich 2005) [Model]

Jolivet R, Gerstner W (2006) Predicting spike times of a detailed conductance-based neuron model driven by stochastic spike arrival. J Physiol Paris 98:442-51 [PubMed]

Jolivet R, Kobayashi R, Rauch A, Naud R, Shinomoto S, Gerstner W (2008) A benchmark test for a quantitative assessment of simple neuron models. J Neurosci Methods 169:417-24 [Journal] [PubMed]

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

Jolivet R, Rauch A, Luscher HR, Gerstner W (2006) Predicting spike timing of neocortical pyramidal neurons by simple threshold models. J Comput Neurosci 21:35-49 [PubMed]

Jovlivet R, Rauch A, Luscher HR, Gerstner W (2006) Predicting spike timing of neocortical pyramidal neurons by simple threshold models J Comput Neurosci 21:35-49 [Journal]

Kobayashi T, Shimada Y, Fujiwara K, Ikeguchi T (2017) Reproducing Infra-Slow Oscillations with Dopaminergic Modulation. Sci Rep 7:2411 [Journal] [PubMed]

   Reproducing infra-slow oscillations with dopaminergic modulation (Kobayashi et al 2017) [Model]

Kumaravelu K, Brocker DT, Grill WM (2016) A biophysical model of the cortex-basal ganglia-thalamus network in the 6-OHDA lesioned rat model of Parkinson's disease. J Comput Neurosci 40:207-29 [Journal] [PubMed]

   Cortex-Basal Ganglia-Thalamus network model (Kumaravelu et al. 2016) [Model]

Lepora NF, Overton PG,Gurney K (2012) Efficient fitting of conductance-based model neurons from somatic current clamp. J. Comp. Neuro. 32(1):1-24 [Journal] [PubMed]

   Parameter estimation for Hodgkin-Huxley based models of cortical neurons (Lepora et al. 2011) [Model]

Marasco A, Limongiello A, Migliore M (2013) Using Strahler`s analysis to reduce up to 200-fold the run time of realistic neuron model Sci. Rep. 3:2934 [Journal] [PubMed]

   Using Strahler`s analysis to reduce realistic models (Marasco et al, 2013) [Model]

Martinez L, Perez T, Mirasso CR, Manjarrez E (2007) Stochastic resonance in the motor system: effects of noise on the monosynaptic reflex pathway of the cat spinal cord. J Neurophysiol 97:4007-16 [PubMed]

Masuda N, Kori H (2007) Formation of feedforward networks and frequency synchrony by spike-timing-dependent plasticity. J Comput Neurosci 22:327-45 [Journal] [PubMed]

Matsubara T, Torikai H (2016) An Asynchronous Recurrent Network of Cellular Automaton-Based Neurons and Its Reproduction of Spiking Neural Network Activities. IEEE Trans Neural Netw Learn Syst 27:836-52 [Journal] [PubMed]

Mattioni M, Cohen U, Le Novere N (2012) Neuronvisio: A Graphical User Interface with 3D Capabilities for NEURON. Front Neuroinform 6:20 [Journal] [PubMed]

   Neuronvisio: a gui with 3D capabilities for NEURON (Mattioni et al. 2012) [Model]

Mattioni M, Le Novere N (2013) Integration of Biochemical and Electrical Signaling-Multiscale Model of the Medium Spiny Neuron of the Striatum. PLoS One 8:e66811 [Journal] [PubMed]

   Multiscale simulation of the striatal medium spiny neuron (Mattioni & Le Novere 2013) [Model]

Melozzi F, Woodman MM, Jirsa VK, Bernard C (2017) The Virtual Mouse Brain: A Computational Neuroinformatics Platform to Study Whole Mouse Brain Dynamics eNeuro [Journal]

   The Virtual Mouse Brain (TVMB) (Melozzi et al. 2017) [Model]

Muresan RC, Savin C (2007) Resonance or integration? Self-sustained dynamics and excitability of neural microcircuits. J Neurophysiol 97:1911-30 [PubMed]

Nandy AS, Nassi JJ, Reynolds JH (2017) Laminar Organization of Attentional Modulation in Macaque Visual Area V4. Neuron 93:235-246 [Journal] [PubMed]

Nicola W, Campbell SA (2013) Bifurcations of large networks of two-dimensional integrate and fire neurons. J Comput Neurosci [Journal] [PubMed]

   Mean Field Equations for Two-Dimensional Integrate and Fire Models (Nicola and Campbell, 2013) [Model]

Portfors CV, Roberts PD (2007) Temporal and frequency characteristics of cartwheel cells in the dorsal cochlear nucleus of the awake mouse. J Neurophysiol 98:744-56 [PubMed]

Prescott TJ, Montes Gonzalez 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]

Rudolph M, Destexhe A (2006) Analytical Integrate-and-Fire Neuron Models with Conductance-Based Dynamics for Event-Driven Simulation Strategies. Neural Comput 18:2146-210 [PubMed]

Rulkov NF, Timofeev I, Bazhenov M (2004) Oscillations in large-scale cortical networks: map-based model. J Comput Neurosci 17:203-23 [Journal] [PubMed]

   Large cortex model with map-based neurons (Rulkov et al 2004) [Model]

Sen-Bhattacharya B, Serrano-Gotarredona T, Balassa L, Bhattacharya A, Stokes AB, Rowley A, Sugiarto I, Furber S (2017) A Spiking Neural Network Model of the Lateral Geniculate Nucleus on the SpiNNaker Machine. Front Neurosci 11:454 [Journal] [PubMed]

   A spiking neural network model of the Lateral Geniculate Nucleus (Sen-Bhattacharya et al 2017) [Model]

Shanahan M (2008) A spiking neuron model of cortical broadcast and competition. Conscious Cogn 17:288-303 [Journal] [PubMed]

   A spiking model of cortical broadcast and competition (Shanahan 2008) [Model]

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]

Stewart TC, Tripp B, Eliasmith C (2009) Python scripting in the nengo simulator. Front Neuroinformatics 3:7 [Journal] [PubMed]

Takekawa T, Aoyagi T, Fukai T (2007) Synchronous and asynchronous bursting states: role of intrinsic neural dynamics. J Comput Neurosci 23:189-200 [Journal] [PubMed]

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]

Tonnelier A, Belmabrouk H, Martinez D (2007) Event-driven simulations of nonlinear integrate-and-fire neurons. Neural Comput 19:3226-38 [PubMed]

Tripp B, Eliasmith C (2007) Neural populations can induce reliable postsynaptic currents without observable spike rate changes or precise spike timing. Cereb Cortex 17:1830-40 [Journal] [PubMed]

   Neural transformations on spike timing information (Tripp and Eliasmith 2007) [Model]

Troyer TW (2006) Factors affecting phase synchronization in integrate-and-fire oscillators J Comput Neurosci 20:191-200 [Journal]

Versace M, Ames H, Leveille J, Fortenberry B, Gorchetchnikov A (2008) Kinness: a modular framework for computational neuroscience. Neuroinformatics 6(4):291-309 [Journal] [PubMed]

   KInNeSS : a modular framework for computational neuroscience (Versace et al. 2008) [Model]

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]

Zilli EA, Hasselmo ME (2010) Coupled Noisy Spiking Neurons as Velocity-Controlled Oscillators in a Model of Grid Cell Spatial Firing J. Neurosci. 30(41):13850-13860 [Journal]

   Grid cell oscillatory interference with noisy network oscillators (Zilli and Hasselmo 2010) [Model]

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