TY - GEN
T1 - Analysis of a mathematical model of oxygen transport in brain
AU - Kovtanyuk, Andrey E.
AU - Chebotarev, Alexander Yu
AU - Dekalchuk, Anastasiya A.
AU - Botkin, Nikolai D.
AU - Lampe, Renée
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/11/29
Y1 - 2018/11/29
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85060027434&partnerID=8YFLogxK
U2 - 10.1109/DD.2018.8553338
DO - 10.1109/DD.2018.8553338
M3 - Conference contribution
AN - SCOPUS:85060027434
T3 - Proceedings of the International Conference Days on Diffraction, DD 2018
SP - 187
EP - 191
BT - Proceedings of the International Conference Days on Diffraction, DD 2018
A2 - Kazakov, A.Ya.
A2 - Kiselev, A.P.
A2 - Goray, L.I.
A2 - Motygin, O.V.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 International Conference Days on Diffraction, DD 2018
Y2 - 4 June 2018 through 8 June 2018
ER -