Cortical waves and post‐stroke brain stimulation

• Published in: Mathematical 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
• Language: English
• 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

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...