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Jansen-Rit Model

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Encyclopedia of Computational Neuroscience

Synonyms

Jansen model; Jansen-Zetterberg model

Definition

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.

Detailed Description

The Jansen-Rit model is a neural population model comprising three interconnected neural populations (see Fig. 1). It has been first described by Jansen and colleagues (Jansen et al. 1993; Jansen and Rit 1995) and goes back to earlier work by Lopes da Silva and colleagues (1974; 1976).

Fig. 1
figure 1

Schematic drawing of the Jansen-Rit model of a cortical area. Pyramidal cells (PC) send axons to other areas (output). Collaterals...

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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

    Article  PubMed  Google Scholar 

  • 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

    Article  PubMed  Google Scholar 

  • Freeman WJ (1975) Mass action in the nervous system: examination of the neurophysiological basis of adaptive behavior through the EEG. Academic, New York

    Google Scholar 

  • Garrido MI, Kilner JM, Kiebel SJ, Friston KJ (2009) Dynamic causal modeling of the response to frequency deviants. J Neurophysiol 101:2620–2631

    Article  PubMed Central  PubMed  Google Scholar 

  • Grimbert F, Faugeras O (2006) Bifurcation analysis of Jansen’s neural mass model. Neural Comput 18:3052–3068

    Article  PubMed  Google Scholar 

  • Jansen BH, Rit VG (1995) Electroencephalogram and visual evoked potential generation in a mathematical model of coupled columns. Biol Cybern 73:357–366

    Article  CAS  PubMed  Google Scholar 

  • Jansen BH, Zouridakis G, Brandt ME (1993) A neurophysiologically-based mathematical model of flash visual evoked potentials. Biol Cybern 68:275–283

    Article  CAS  PubMed  Google Scholar 

  • Liley DTJ, Cadusch PJ, Dafilis MP (2002) A spatially continuous mean field theory of electrocortical activity. Network 13:67–113

    Article  PubMed  Google Scholar 

  • 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

    Article  CAS  PubMed  Google Scholar 

  • 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

    Article  CAS  PubMed  Google Scholar 

  • 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

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Spiegler A (2011) Dynamics of biologically informed neural mass models of the brain. PhD Thesis, TU Ilmenau, Germany

    Google Scholar 

  • 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

    Article  PubMed  Google Scholar 

  • 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

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Touboul J, Wendling F, Chauvel P, Faugeras O (2011) Neural mass activity, bifurcations, and epilepsy. Neural Comput 23:3232–3286

    Article  PubMed  Google Scholar 

  • 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

    Article  CAS  PubMed  Google Scholar 

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Author information

Authors and Affiliations

  1. Max Planck Institute for Human Cognitive and Brain Sciences, Leipzig, Germany

    Dr. Thomas R. Knösche

Authors
  1. Dr. Thomas R. Knösche
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Correspondence to Thomas R. Knösche .

Editor information

Editors and Affiliations

  1. Atlanta, Georgia, USA

    Dieter Jaeger

  2. Department of Biomedical Engineering, Florida International University, Miami, Florida, USA

    Ranu Jung

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Knösche, T.R. (2014). Jansen-Rit Model. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_65-2

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  • DOI: https://doi.org/10.1007/978-1-4614-7320-6_65-2

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  • Online ISBN: 978-1-4614-7320-6

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Chapter history

  1. Latest

    Jansen-Rit Model
    Published:
    01 August 2014

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_65-2

  2. Original

    Jansen-Rit Model
    Published:
    13 February 2014

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_65-1

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