Modeling of post-stroke stimulation of cortical tissue

Following a stroke, cortical networks in the penumbra area become fragmented and partly deactivated. We develop a model to study the propagation of waves of electric potential in the cortical tissue with integro-differential equations arising in neural field models. The wave speed is characterized by the tissue excitability and connectivity determined through parameters of the model. Post-stroke tissue damage in the penumbra area creates a hypoconnectivity and decreases the speed of wave propagation. It is proposed that external stimulation could restore the wave speed in the penumbra area under certain conditions of the parameters. Model guided cortical stimulation could be used to improve the functioning of cortical networks. © 2018

Authors
Beuter A.1 , Balossier A.2 , Trofimchuk S.3 , Volpert V. 4, 5, 6, 7
Journal
Mathematical Biosciences
Publisher
Elsevier Inc.
Language
English
Status
Published
Link
External link
DOI
10.1016/j.mbs.2018.08.014
Year
2018
Organizations
  • 1 Bordeaux INP, Bordeaux, France, Equipage Innovation SARL, Plérin, France
  • 2 Neurochirurgie fonctionnelle et stéréotaxique, AP-HM La Timone, Aix-Marseille University, Marseille, France
  • 3 Instituto de Matematica y Fisica, Universidad de Talca, Casilla 747, Talca, Chile
  • 4 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 5 INRIA, Université de Lyon Université Lyon 1, Institut Camille Jordan 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 6 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
  • 7 Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow, 119002, Russian Federation
Keywords
Brain tissue; Stroke; Wave speed
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/7400/
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