Yu. V. Vassilevski, V. U. Salamatova, S. S. Simakov, “On the elasticity of blood vessels in one-dimensional problems of hemodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 9,Pages <nobr>1599

This article is cited in 43 papers

On the elasticity of blood vessels in one-dimensional problems of hemodynamics

Yu. V. Vassilevski^ab, V. U. Salamatova^ab, S. S. Simakov^abc

^a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
^b Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333, Russia
^c Institute of Computer-Aided Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 19/18, Moscow, 123056, Russia

Abstract: One-dimensional models of hemodynamics proved to be effective in the analysis of blood flow in humans in the normal and pathological states. A key factor contributing to the successful simulation using one-dimensional models is the inclusion of elastic properties of blood vessel walls. This paper is devoted to the comparative analysis of various mathematical descriptions of elastic properties of vessel walls in modern one-dimensional models of hemodynamics.

Key words: mathematical modeling, hemodynamics, blood vessel, constitutive equations.

UDC: 519.634

Received: 26.02.2015

DOI: 10.7868/S004446691509015X