Continuum model of oxygen transport in brain

A continuum steady-state model of oxygen transport in the brain is studied. The unique solvability of the corresponding nonlinear boundary-value problem is proven. The convergence of a simple iterative procedure for finding solutions of the boundary-value problem is established. Numerical experiment...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2019-06, Vol.474 (2), p.1352-1363
Main Authors: Kovtanyuk, Andrey E., Chebotarev, Alexander Yu, Botkin, Nikolai D., Turova, Varvara L., Sidorenko, Irina N., Lampe, Renée
Format: Article
Language:English
Subjects:
Iterative procedure
Nonlinear boundary-value problem
Oxygen transport in the brain
Unique solvability
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Summary:A continuum steady-state model of oxygen transport in the brain is studied. The unique solvability of the corresponding nonlinear boundary-value problem is proven. The convergence of a simple iterative procedure for finding solutions of the boundary-value problem is established. Numerical experiments showing the consistency of the model are conducted.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.02.020