Cortical waves and post-stroke brain stimulation

A neural field model with different activation and inhibition connectivity and response functions is considered. Stability analysis of a homogeneous in space solution determines the conditions of the emergence of stationary periodic solutions and of periodic travelling waves. Various regimes of wave propagation are illustrated in numerical simulations. The influence of external stimulation on the wave properties is investigated. © 2019 John Wiley & Sons, Ltd.

Authors
Bessonov N.1 , Beuter A.2 , Trofimchuk S.3 , Volpert V. 4, 5, 6, 7
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Number of issue
11
Language
English
Pages
3912-3928
Status
Published
Link
External link
DOI
10.1002/mma.5620
Volume
42
Year
2019
Organizations
  • 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
  • 2 Bordeaux INP, Bordeaux, France, Equipage Innovation SARLPlérin, France
  • 3 Instituto de Matematica y Fisica, Universidad de Talca, Talca, Casilla, 747, Chile
  • 4 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 5 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 6 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 7 Marchuk Institute of Numerical Mathematics of the RAS, ul. Gubkina 8, Moscow, 119333, Russian Federation
Keywords
brain stimulation; integro-differential equation; neural field model; waves
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38555/
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