MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK

Titel:: MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK
Dokumenttyp:: Article; Proceedings Paper
Autor(en):: 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.
Stichworte:: Inverse problem for the Poisson equation; unique solvability; cerebral blood flow circulation
Zeitschriftentitel:: Math. Control Relat. Fields
Jahr:: 2021
Band / Volume:: 11
Monat:: SEP
Heft / Issue:: 3
Seitenangaben Beitrag:: 643-652
Sprache:: English
Volltext / DOI:: doi:10.3934/mcrf.2021016
Verlag / Institution:: AMER INST MATHEMATICAL SCIENCES-AIMS
Print-ISSN:: 2156-8472
Hinweise:: 28th IFIP TC7 Conference on System Modeling and Optimization, Univ Duisburg Essen, Essen, GERMANY, JUL 23-27, 2018
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