TY - JOUR
T1 - Modelling of Propagating Shear Waves in Biotissue Employing an Internal Variable Approach to Dissipation
AU - H. T. Banks & Nicholas S. Luke
JO - Communications in Computational Physics
VL - 3
SP - 603
EP - 640
PY - 2008
DA - 2008/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7867.html
KW - 
AB - <p style="text-align: justify;">The ability to reliably detect coronary artery disease based on the acoustic
noises produced by a stenosis can provide a simple, non-invasive technique for diagnosis. Current research exploits the shear wave fields in body tissue to detect and
analyze coronary stenoses. The methods and ideas outlined in earlier efforts [6] including a mathematical model utilizing an internal strain variable approximation to
the quasi-linear viscoelastic constitutive equation proposed by Fung in [19] is extended
here. As an initial investigation, a homogeneous two-dimensional viscoelastic geometry is considered. Being uniform in θ, this geometry behaves as a one dimensional
model, and the results generated from it are compared to the one dimensional results
from [6]. To allow for different assumptions on the elastic response, several variations
of the model are considered. A statistical significance test is employed to determine if
the more complex models are significant improvements. After calibrating the model
with a comparison to previous findings, more complicated geometries are considered.
Simulations involving a heterogeneous geometry with a uniform ring running through
the original medium, a θ-dependent model which considers a rigid partial occlusion
formed along the inner radius of the geometry, and a model which combines the ring
and occlusion are presented.</p>