Numerical modeling of the pulse wave propagation in large blood vessels based on liquid and wall interaction

21st Fluid Mechanics Conference

物理学;力学

Rup, K.^1 ; Drózdz, A.^1,2

Faculty of Mechanical Engineering, Cracow University of Technology, al. Jana Pawla II 37, 31-864 Kraków, Poland^1

Jagiellonian Centre for Experimental Therapeutics, Jagiellonian University, ul. Bobrzyn´skiego 14, 30-348 Kraków, Poland^2

关键词: Boundary and initial conditions;    Equilibrium equation;    Momentum balance equations;    One-dimensional model;    Physicochemical property;    Pulse wave propagation;    Time-dependent deformation;    Viscous dissipation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/530/1/012010/pdf
DOI  :  10.1088/1742-6596/530/1/012010

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The purpose of this article is to develop a non-linear, one-dimensional model of pulse wave propagation in the arterial cardiovascular system. The model includes partial differential equations resulting from the balance of mass and momentum for the fluid-filled area and the balance equation for the area of the wall and vessels. The considered mathematical model of pulse wave propagation in the thoracic aorta section takes into account the viscous dissipation of fluid energy, realistic values of parameters describing the physicochemical properties of blood and vessel wall. Boundary and initial conditions contain the appropriate information obtained from in vivo measurements. As a result of the numerical solution of the mass and momentum balance equations for the blood and the equilibrium equation for the arterial wall area, time- dependent deformation, respective velocity profiles and blood pressure were determined.