Citation Relationships



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

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

References and models cited by this paper

References and models that cite this paper

Abbott LF, van Vreeswijk C (1993) Asynchronous states in networks of pulse-coupled oscillators. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 48:1483-1490 [PubMed]

Amari S (1977) Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 27:77-87 [PubMed]

Bressloff PC (2011) Spatiotemporal dynamics of continuum neural fields J Phys A Math Theor 45(3):033001

Dhooge A, Govaerts W, Kuznetsov YA (2003) MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs Acm Trans Math Softw 29:141-164

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

Freeman WJ (1975) Mass Action In The Nervous System

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

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

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

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

Lopes da Silva FH, Hoeks A, Smits H, Zetterberg LH (1974) Model of brain rhythmic activity. The alpha-rhythm of the thalamus. Kybernetik 15:27-37 [PubMed]

Ly C, Tranchina D (2007) Critical analysis of dimension reduction by a moment closure method in a population density approach to neural network modeling. Neural Comput 19:2032-92 [Journal] [PubMed]

Morris C, Lecar H (1981) Voltage oscillations in the barnacle giant muscle fiber. Biophys J 35:193-213 [Journal] [PubMed]

   Morris-Lecar model of the barnacle giant muscle fiber (Morris, Lecar 1981) [Model]

Nagumo J, Arimoto S, Yoshizawa S (1962) An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE 50:2061-2070 [Journal]

Nicola W, Campbell SA (2013) Bifurcations of large networks of two-dimensional integrate and fire neurons. J Comput Neurosci 35:87-108 [Journal] [PubMed]

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

Nykamp DQ, Tranchina D (2000) A population density approach that facilitates large-scale modeling of neural networks: analysis and an application to orientation tuning. J Comput Neurosci 8:19-50 [PubMed]

Omurtag A, Knight BW, Sirovich L (2000) On the simulation of large populations of neurons. J Comput Neurosci 8:51-63 [PubMed]

Shlizerman E, Holmes P (2012) Neural dynamics, bifurcations, and firing rates in a quadratic integrate-and-fire model with a recovery variable. I: Deterministic behavior. Neural Comput 24:2078-118

Touboul J (2008) Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons. Siam Appl Math 68:1045-1079

Touboul J, Brette R (2008) Spiking dynamics of bidimensional integrate-and-fire neurons SIAM J Appl Dyn Syst 8(4):1462-1506 [Journal]

Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24 [Journal] [PubMed]

   Excitatory and inhibitory interactions in populations of model neurons (Wilson and Cowan 1972) [Model]

Wilson HR, Cowan JD (1973) A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13:55-80 [PubMed]

Zandt BJ, Visser S, van Putten MJ, Ten Haken B (2014) A neural mass model based on single cell dynamics to model pathophysiology. J Comput Neurosci 37:549-68 [Journal] [PubMed]

   Neural mass model based on single cell dynamics to model pathophysiology (Zandt et al 2014) [Model]

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