Inverse problem for a linearized model of oxygen transport in brain

Andrey Kovtanyuk, Alexander Chebotarev, Varvara Turova, Irina Sidorenko, Renee Lampe

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

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.

Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction 2020, DD 2020
EditorsO.V. Motygin, A.P. Kiselev, L.I. Goray, T.M. Zaboronkova, A.Ya. Kazakov, A.S. Kirpichnikova
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages44-49
Number of pages6
ISBN (Electronic)9781665404563
DOIs
StatePublished - 25 May 2020
Event2020 International Conference Days on Diffraction, DD 2020 - St. Petersburg, Russian Federation
Duration: 25 May 202029 May 2020

Publication series

NameProceedings of the International Conference Days on Diffraction 2020, DD 2020

Conference

Conference2020 International Conference Days on Diffraction, DD 2020
Country/TerritoryRussian Federation
CitySt. Petersburg
Period25/05/2029/05/20

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