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The Jansen-Rit model is a neural population model of a local cortical circuit. It contains three interconnected neural populations: one for the pyramidal projection neurons and two for excitatory and inhibitory interneurons forming feedback loops. Each neural population is described by a second-order differential operator transforming the mean incoming spike rate to the mean membrane potential and a nonlinear function transforming the mean membrane potential to a mean output spike rate.
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References
David O, Friston KJ (2003) A neural mass model for MEG/EEG: coupling and neuronal dynamics. Neuroimage 20:1743–1755
David O, Kiebel SJ, Harrison LM, Mattout J, Kilner JM et al (2006) Dynamic causal modeling of evoked responses in EEG and MEG. Neuroimage 30:1255–1272
Freeman WJ (1975) Mass action in the nervous system: examination of the neurophysiological basis of adaptive behavior through the EEG. Academic, New York
Garrido MI, Kilner JM, Kiebel SJ, Friston KJ (2009) Dynamic causal modeling of the response to frequency deviants. J Neurophysiol 101:2620–2631
Grimbert F, Faugeras O (2006) Bifurcation analysis of Jansen’s neural mass model. Neural Comput 18:3052–3068
Jansen BH, Rit VG (1995) Electroencephalogram and visual evoked potential generation in a mathematical model of coupled columns. Biol Cybern 73:357–366
Jansen BH, Zouridakis G, Brandt ME (1993) A neurophysiologically-based mathematical model of flash visual evoked potentials. Biol Cybern 68:275–283
Liley DTJ, Cadusch PJ, Dafilis MP (2002) A spatially continuous mean field theory of electrocortical activity. Network 13:67–113
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
Lopes da Silva FH, van Rotterdam A, Barts P, van Heusden E, Burr W (1976) Models of neuronal populations: the basic mechanisms of rhythmicity. Prog Brain Res 45:281–308
Moran RJ, Stephan KE, Seidenbecher T, Pape HC, Dolan RJ, Friston KJ (2009) Dynamic causal models of steady-state responses. Neuroimage 44(3):796–811
Spiegler A (2011) Dynamics of biologically informed neural mass models of the brain. PhD Thesis, TU Ilmenau, Germany
Spiegler A, Kiebel SJ, Atay FM, Knösche TR (2010) Bifurcation analysis of neural mass models: impact of extrinsic inputs and dendritic time constants. Neuroimage 52:1041–1058
Spiegler A, Knösche TR, Schwab K, Haueisen J, Atay FM (2011) Modeling brain resonance phenomena using a neural mass model. PLoS Comput Biol 7:e1002298
Touboul J, Wendling F, Chauvel P, Faugeras O (2011) Neural mass activity, bifurcations, and epilepsy. Neural Comput 23:3232–3286
Wendling F, Bellanger JJ, Bartolomei F, Chauvel P (2000) Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol Cybern 83:367–378
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Knösche, T.R. (2015). Jansen-Rit Model. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6675-8_65
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DOI: https://doi.org/10.1007/978-1-4614-6675-8_65
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