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- Title:
Analysis of a mathematical model of oxygen transport in brain
- Document type:
- Proceedings Paper
- Author(s):
- Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Dekalchuk, Anastasiya A.; Botkin, Nikolai D.; Lampe, Renee
- 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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