TY - JOUR

T1 - Asymptotic Models of the Blood Flow in Arteries and Veins

AU - Kozlov, V.A.

AU - Nazarov, S.A.

PY - 2013

Y1 - 2013

N2 - Asymptotic analysis is applied for obtaining one-dimensional models of the blood flow in narrow, thin-walled, elastic vessels. The models for arteries and veins essentially distinguish from each other, and the reason for this is the structure of their walls, as well as the operationing conditions. Although the obtained asymptotic models are simple, they explain various effects known in medical practice, in particular, describe the mechanism of vein-muscle pumping of blood. Bibliography: 18 titles. © 2013 Springer Science+Business Media New York.

AB - Asymptotic analysis is applied for obtaining one-dimensional models of the blood flow in narrow, thin-walled, elastic vessels. The models for arteries and veins essentially distinguish from each other, and the reason for this is the structure of their walls, as well as the operationing conditions. Although the obtained asymptotic models are simple, they explain various effects known in medical practice, in particular, describe the mechanism of vein-muscle pumping of blood. Bibliography: 18 titles. © 2013 Springer Science+Business Media New York.

U2 - 10.1007/s10958-013-1505-4

DO - 10.1007/s10958-013-1505-4

M3 - Article

VL - 194

SP - 44

EP - 57

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -