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...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 42; no. 11; pp. 3912 - 3928
Main Authors Bessonov, Nikolai, Beuter, Anne, Trofimchuk, Sergei, Volpert, Vitaly
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.07.2019
Wiley
Subjects
Analysis of PDEs
Brain
brain stimulation
Computer simulation
integro‐differential equation
Mathematics
neural field model
Response functions
Stability analysis
Stimulation
Traveling waves
Wave propagation
waves
brain stimulation
waves
neural field model
integro-differential equation
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5620