Volume 3, Issue 3
Modelling of Propagating Shear Waves in Biotissue Employing an Internal Variable Approach to Dissipation

H. T. Banks & Nicholas S. Luke

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Commun. Comput. Phys., 3 (2008), pp. 603-640.

Published online: 2008-03

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  • Abstract

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 viscoelasticconstitutive equationproposedby 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 witha uniformring 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.

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@Article{CiCP-3-603, author = {H. T. Banks and Nicholas S. Luke}, title = {Modelling of Propagating Shear Waves in Biotissue Employing an Internal Variable Approach to Dissipation}, journal = {Communications in Computational Physics}, year = {2008}, volume = {3}, number = {3}, pages = {603--640}, abstract = {

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 viscoelasticconstitutive equationproposedby 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 witha uniformring 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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7867.html} }
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://dor.org/ UR - https://global-sci.org/intro/cicp/7867.html KW - AB -

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 viscoelasticconstitutive equationproposedby 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 witha uniformring 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.

H. T. Banks & Nicholas S. Luke. (1970). Modelling of Propagating Shear Waves in Biotissue Employing an Internal Variable Approach to Dissipation. Communications in Computational Physics. 3 (3). 603-640. doi:
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