Continuum model of oxygen transport in brain

Andrey E. Kovtanyuk; Alexander Yu Chebotarev; Nikolai D. Botkin; Varvara L. Turova; Irina N. Sidorenko; Renée Lampe

doi:10.1016/j.jmaa.2019.02.020

Continuum model of oxygen transport in brain

Andrey E. Kovtanyuk
, Alexander Yu Chebotarev
, Nikolai D. Botkin
, Varvara L. Turova
, Irina N. Sidorenko
, Renée Lampe

Associate Professorship of Paediatric Neuroorthopaedics, Main Research: Cerebral Palsy

Technical University of Munich
Far Eastern Federal University
Institute of Applied Mathematics FEB RAS

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	1352-1363
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	474
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2019.02.020
State	Published - 15 Jun 2019

Keywords

Iterative procedure
Nonlinear boundary-value problem
Oxygen transport in the brain
Unique solvability

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10.1016/j.jmaa.2019.02.020

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title = "Continuum model of oxygen transport in brain",

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.",

keywords = "Iterative procedure, Nonlinear boundary-value problem, Oxygen transport in the brain, Unique solvability",

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AU - Chebotarev, Alexander Yu

AU - Botkin, Nikolai D.

AU - Turova, Varvara L.

AU - Sidorenko, Irina N.

AU - Lampe, Renée

PY - 2019/6/15

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N2 - 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.

AB - 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.

KW - Iterative procedure

KW - Nonlinear boundary-value problem

KW - Oxygen transport in the brain

KW - Unique solvability

UR - https://www.scopus.com/pages/publications/85061375926

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JF - Journal of Mathematical Analysis and Applications

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ER -

Continuum model of oxygen transport in brain

Abstract

Keywords

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