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- Title:
Continuum model of oxygen transport in brain
- Document type:
- Article
- Author(s):
- Kovtanyuk, Audrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Turova, Varvara L.; Sidorenko, Irina N.; Lampe, Renee
- Abstract:
- 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. (C) 2019 Elsevier Inc. All rights reserved.
- Keywords:
- Nonlinear boundary-value problem; Unique solvability; Iterative procedure; Oxygen transport in the brain
- Journal title:
- J. Math. Anal. Appl.
- Year:
- 2019
- Journal volume:
- 474
- Month:
- JUN 15
- Journal issue:
- 2
- Pages contribution:
- 1352-1363
- Language:
- English
- Fulltext / DOI:
- doi:10.1016/j.jmaa.2019.02.020
- Publisher:
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Print-ISSN:
- 0022-247X
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