MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK

Title:: MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK
Document type:: Article; Proceedings Paper
Author(s):: Kovtanyuk, Andrey; Chebotarev, Alexander; Botkin, Nikolai; Turova, Varvara; Sidorenko, Irina; Lampe, Renee
Abstract:: A boundary value problem for the Poisson's equation with unknown intensities of sources is studied in context of mathematical modeling the pressure distribution in cerebral capillary networks. The problem is formulated as an inverse problem with finite-dimensional overdetermination. The unique solvability of the problem is proven. A numerical algorithm is proposed and implemented.
Keywords:: Inverse problem for the Poisson equation; unique solvability; cerebral blood flow circulation
Journal title:: Math. Control Relat. Fields
Year:: 2021
Journal volume:: 11
Month:: SEP
Journal issue:: 3
Pages contribution:: 643-652
Language:: English
Fulltext / DOI:: doi:10.3934/mcrf.2021016
Publisher:: AMER INST MATHEMATICAL SCIENCES-AIMS
Print-ISSN:: 2156-8472
Notes:: 28th IFIP TC7 Conference on System Modeling and Optimization, Univ Duisburg Essen, Essen, GERMANY, JUL 23-27, 2018
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