Geodesic
Asymptotic models of the blood flow in arterias and veins
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 80-106

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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. 
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     author = {V. A. Kozlov and S. A. Nazarov},
     title = {Asymptotic models of the blood flow in arterias and veins},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a5/}
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V. A. Kozlov; S. A. Nazarov. Asymptotic models of the blood flow in arterias and veins. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 80-106. http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a5/