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Cortical waves and post‐stroke brain stimulation
Author(s) -
Bessonov Nikolai,
Beuter Anne,
Trofimchuk Sergei,
Volpert Vitaly
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5620
Subject(s) - homogeneous , stimulation , physics , brain waves , traveling wave , neuroscience , stroke (engine) , space (punctuation) , stability (learning theory) , mechanics , mathematical analysis , mathematics , computer science , statistical physics , electroencephalography , psychology , machine learning , thermodynamics , operating system
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.