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Document type:
Proceedings Paper
Author(s):
Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Dekalchuk, Anastasiya A.; Botkin, Nikolai D.; Lampe, Renee
Title:
Analysis of a mathematical model of oxygen transport in brain
Abstract:
A continuum two-compartment model of oxygen transport in brain is studied. The model comprises two coupled, highly nonlinear partial differential equations describing the oxygen concentration in the blood and tissue compartments. A priori estimates of solutions are obtained, and a simple iteration procedure for finding them is proposed. The convergence of this method is proven. A numerical example illustrates the theoretical analysis.
Editor:
Motygin, OV; Kiselev, AP; Goray, LI; Kazakov, AY; Kirpichnikova, AS; Perel, MV
Book / Congress title:
2018 DAYS ON DIFFRACTION (DD)
Congress (additional information):
International Conference on Days on Diffraction (DD), St Petersburg, RUSSIA, JUN 04-08, 2018
Organization:
Russian Fdn Basic Res; ITMO Univ; Euler Int Math Inst; V A Steklov Inst Math, St Petersburg Dept; St Petersburg State Univ; IEEE Russia NW Sect AP ED MTT Joint Chapter; Simons Fdn
Publisher:
IEEE
Publisher address:
345 E 47TH ST, NEW YORK, NY 10017 USA
Year:
2018
Pages:
187-191
Print-ISBN:
978-1-7281-0313-6
Language:
English
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