Cortical waves and post-stroke brain stimulation

被引：2

作者：

Bessonov, Nikolai ^{[1
]}

Beuter, Anne ^{[2
,3
]}

Trofimchuk, Sergei ^{[4
]}

Volpert, Vitaly ^{[5
,6
,7
,8
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

[2] Bordeaux INP, Bordeaux, France

[3] Equipage Innovat SARL, Plerin, France

[4] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[5] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

[6] INRIA Lyon Doua, INRIA Team Dracula, F-69603 Villeurbanne, France

[7] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia

[8] RAS, Marchuk Inst Numer Math, Ul Gubkina 8, Moscow 119333, Russia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 11期

关键词：

brain stimulation; integro-differential equation; neural field model; waves; SPATIALLY STRUCTURED ACTIVITY; COUPLED NEURONAL NETWORKS; TRAVELING-WAVES; ELECTRICAL-STIMULATION; FOLLOW-UP; STROKE; APHASIA; RECOVERY; CONNECTIVITY; CONNECTOME;

D O I：

10.1002/mma.5620

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3912 / 3928

页数：17

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