Bifurcation analysis of Jansen's neural mass model

Neural Comput. 2006 Dec;18(12):3052-68. doi: 10.1162/neco.2006.18.12.3052.


We present a mathematical model of a neural mass developed by a number of people, including Lopes da Silva and Jansen. This model features three interacting populations of cortical neurons and is described by a six-dimensional nonlinear dynamical system. We address some aspects of its behavior through a bifurcation analysis with respect to the input parameter of the system. This leads to a compact description of the oscillatory behaviors observed in Jansen and Rit (1995) (alpha activity) and Wendling, Bellanger, Bartolomei, and Chauvel (2000) (spike-like epileptic activity). In the case of small or slow variation of the input, the model can even be described as a binary unit. Again using the bifurcation framework, we discuss the influence of other parameters of the system on the behavior of the neural mass model.

Publication types

  • Comparative Study
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Action Potentials / physiology
  • Alpha Rhythm*
  • Animals
  • Computer Simulation
  • Epilepsy / physiopathology
  • Models, Neurological*
  • Neurons / classification
  • Neurons / physiology*
  • Nonlinear Dynamics*