Math Biosci
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne 69622, France; INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex 69200, France; Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow 117198, Russian Federation; Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow 119002, Russian Federation. Electronic address:
Published: November 2018
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.
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http://dx.doi.org/10.1016/j.mbs.2018.08.014 | DOI Listing |
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