Modeling Arterial Wave Reflection with Difference Equations

Distal shift of arterial pressure wave reflection sites with aging.

An early return of reflected waves, the backward propagation of the arterial pressure wave from the periphery to the heart, is associated with the augmentation of central pulse pressure and cardiovascular risks. The locations of arterial pressure wave reflection, along with arterial stiffening, have a major influence on the timing of the reflected wave. To determine the influence of aging on th...

Difference Methods with Boundary and Interface Treatment for Wave Equations

Wave motion in acoustic and elastic media is highly influenced by the presence of outer boundaries and media interfaces. The solutions to the equations governing the wave motion at any point in the domain as a function of time can be sought either through analytical or numerical techniques. This thesis proposes provably stable finite difference schemes to accurately simulate wave interaction wi...

Arterial Stiffness Arterial Stiffness and Wave Reflection Sex Differences and Relationship With Left Ventricular Diastolic Function

Increased arterial stiffness and wave reflection have been reported in heart failure with normal ejection fraction (HFNEF) and in asymptomatic left ventricular (LV) diastolic dysfunction, a precursor of HFNEF. It is unclear whether women, who have higher frequency of HFNEF, are more vulnerable than men to the deleterious effects of arterial stiffness on LV diastolic function. We investigated, i...

Uncertainties in estimating the site of arterial wave reflection.

Optimized high-order finite difference wave equations modeling on reconfigurable computing platform

Finite difference (FD) methods are the most prevalent numerical modeling algorithms for simulating linear wave propagation phenomena in geophysics, electromagnetics, and aeroor marine-acoustics applications. Unfortunately, evaluating time evolution for waves in large-scale 2D or 3D domains is computationally demanding and data-intensive. As such, its programs are often exclusively executed on h...