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- Title:
Inverse problem for a linearized model of oxygen transport in brain
- Document type:
- Proceedings Paper
- Author(s):
- Kovtanyuk, Andrey; Chebotarev, Alexander; Turova, Varvara; Sidorenko, Irina; Lampe, Renee
- Abstract:
- A continuum steady-state model of oxygen transport in brain with unknown intensities of the sources describing the oxygen inflow and its outflow via the arterioles and venules is studied. The corresponding boundary value problem is reduced to an inverse problem with finite overdetermination. The unique solvability of the inverse problem is proved, and a numerical approach to find a solution is proposed.
- Editor:
- Motygin, OV; Kiselev, AP; Goray, LI; Zaboronkova, TM; Kazakov, AY; Kirpichnikova, AS
- Book / Congress title:
- PROCEEDINGS OF THE 2020 INTERNATIONAL CONFERENCE DAYS ON DIFFRACTION (DD)
- Congress (additional information):
- International Conference on Days on Diffraction (DD), St Petersburg, RUSSIA, MAY 25-29, 2020
- Organization:
- V A Steklov Inst Math, St Petersburg Dept; St etersburg State Univ; Euler Int Math Inst; IEEE Russia NW Sect AP ED MTT Joint Chapter; Govt Russian Federat; Simons Fdn
- Publisher:
- IEEE
- Publisher address:
- 345 E 47TH ST, NEW YORK, NY 10017 USA
- Year:
- 2020
- Pages:
- 44-49
- Print-ISBN:
- 978-0-7381-4279-1
- Language:
- English
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