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Nonstationary Model of Oxygen Transport in Brain Tissue
Joint Authors
Turova, Varvara
Kovtanyuk, Andrey E.
Chebotarev, Alexander Yu.
Sidorenko, Irina N.
Botkin, Nikolai
Lampe, Renée
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper addresses the mathematical study of a nonstationary continuum model describing oxygen propagation in cerebral substance.
The model allows to estimate the rate of oxygen saturation and stabilization of oxygen concentration in relatively large parts of cerebral tissue.
A theoretical and numerical analysis of the model is performed.
The unique solvability of the underlying initial-boundary value problem for a system of coupled nonlinear parabolic equations is proved.
In the numerical experiment, the tissue oxygen saturation after hypoxia is analyzed for the case when a sufficient amount of oxygen begins to flow into the capillary network.
A fast stabilization of the tissue oxygen concentration is demonstrated.
The reliability of the results of the numerical simulation is discussed.
American Psychological Association (APA)
Kovtanyuk, Andrey E.& Chebotarev, Alexander Yu.& Botkin, Nikolai& Turova, Varvara& Sidorenko, Irina N.& Lampe, Renée. 2020. Nonstationary Model of Oxygen Transport in Brain Tissue. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1139452
Modern Language Association (MLA)
Kovtanyuk, Andrey E.…[et al.]. Nonstationary Model of Oxygen Transport in Brain Tissue. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1139452
American Medical Association (AMA)
Kovtanyuk, Andrey E.& Chebotarev, Alexander Yu.& Botkin, Nikolai& Turova, Varvara& Sidorenko, Irina N.& Lampe, Renée. Nonstationary Model of Oxygen Transport in Brain Tissue. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1139452
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139452