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.

Авторы
Bessonov N.1 , Beuter A.2 , Trofimchuk S.3 , Volpert V. 4, 5, 6, 7
Издательство
John Wiley and Sons Ltd
Номер выпуска
11
Язык
Английский
Страницы
3912-3928
Статус
Опубликовано
Том
42
Год
2019
Организации
  • 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
Ключевые слова
brain stimulation; integro-differential equation; neural field model; waves
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