Pulse wave propagation along human aorta: a model study

Abstract

In the study, wave propagation along aorta is studied for different normal and pathological conditions in distal arteries. The mathematical model is based on the axisymmetric incompressible Navier-Stokes equations for blood and momentum equations for an incompressible viscoelastic arterial wall. The solution has been found as a superposition of forward and backward running waves. The blood pressure and flow curves measured by ultrasound in larger systemic arteries of ten healthy volunteers have been used for identification of the model parameters. It is shown that individual geometry plays an essential role in the location of positive and negative wave reflection sites along the aorta and, thus, in the pressure and flow patterns as well as blood distribution into the side branches. The model is validated by comparative study with the same dependencies computed previously on a 55-tube model as well as on the measurement data. The model can be used for determination of the individual parameters for patient-specific cardiovascular models and further in silico modeling of the outcomes of surgical and therapeutic procedures.

Experimental observation of distributed pulse wave velocity with a noncontact portable shearing-speckle interferometer

“…One key parameter in this field is vascular stiffness, which depends on blood flow velocity [2,3]. If the velocity is over 12 m/s, the vascular is not healthy [4]. Blood flow velocity is typically calculated by measuring the time difference between pulse wave fluctuations at the ankle and wrist.…”

Computationally efficient finite element formulation for blood flow analysis in multi‐layered aorta modeled as viscoelastic material

“…However, most of the 1D wave propagation models of the blood flow consider elastic constitutive relation 4,6,7,21,34‐40 to model the arterial wall. There are a only few literature available on the one‐dimensional blood flow study considering viscoelastic arterial model 2,23,41‐43 . Viscoelasticity is one of the important features of blood vessels regulating their physical damping and significantly affecting the clinically important information of the blood flow such as pressure variation and flow rate.…”