Continuum model of oxygen transport in brain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Kovtanyuk, Audrey E.^1,2  Chebotarev, Alexander Yu.^2,3  Botkin, Nikolai D.⁴  Turova, Varvara L.¹  Sidorenko, Irina N.⁴  Lampe, Renee¹ 

[1] Tech Univ Munich, Klinikum Rechts Isar, Ismaningerstr 22, D-81675 Munich, Germany

[2] Far Eastern Fed Univ, Sukhanova St 8, Vladivostok 690950, Russia

[3] Inst Appl Math FEB RAS, Radio St 7, Vladivostok 690041, Russia

[4] Tech Univ Munich, Fak Math, Boltzmannstr 3, D-85747 Garching, Germany

关键词: Nonlinear boundary-value problem;    Unique solvability;    Iterative procedure;    Oxygen transport in the brain;   

DOI  :  10.1016/j.jmaa.2019.02.020

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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