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- Document type:
- Article; Proceedings Paper
- Author(s):
- Kovtanyuk, Andrey; Chebotarev, Alexander; Botkin, Nikolai; Turova, Varvara; Sidorenko, Irina; Lampe, Renee
- Title:
- MODELING THE PRESSURE DISTRIBUTION IN A SPATIALLY AVERAGED CEREBRAL CAPILLARY NETWORK
- 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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