Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.

The identifiability of the two damping components of a Generalized Rayleigh Damping model is investigated through analysis of the continuum equilibrium equations as well as a simple spring-mass system. Generalized Rayleigh Damping provides a more diversified attenuation model than pure Viscoelastici...

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Autor principal:	Elijah E W Van Houten
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2014
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/3f3f57c73d844442b4bfb6848499f577
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spelling	oai:doaj.org-article:3f3f57c73d844442b4bfb6848499f5772021-11-18T08:25:29ZParameter identification in a generalized time-harmonic Rayleigh damping model for elastography.1932-620310.1371/journal.pone.0093080https://doaj.org/article/3f3f57c73d844442b4bfb6848499f5772014-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/24691213/?tool=EBIhttps://doaj.org/toc/1932-6203The identifiability of the two damping components of a Generalized Rayleigh Damping model is investigated through analysis of the continuum equilibrium equations as well as a simple spring-mass system. Generalized Rayleigh Damping provides a more diversified attenuation model than pure Viscoelasticity, with two parameters to describe attenuation effects and account for the complex damping behavior found in biological tissue. For heterogeneous Rayleigh Damped materials, there is no equivalent Viscoelastic system to describe the observed motions. For homogeneous systems, the inverse problem to determine the two Rayleigh Damping components is seen to be uniquely posed, in the sense that the inverse matrix for parameter identification is full rank, with certain conditions: when either multi-frequency data is available or when both shear and dilatational wave propagation is taken into account. For the multi-frequency case, the frequency dependency of the elastic parameters adds a level of complexity to the reconstruction problem that must be addressed for reasonable solutions. For the dilatational wave case, the accuracy of compressional wave measurement in fluid saturated soft tissues becomes an issue for qualitative parameter identification. These issues can be addressed with reasonable assumptions on the negligible damping levels of dilatational waves in soft tissue. In general, the parameters of a Generalized Rayleigh Damping model are identifiable for the elastography inverse problem, although with more complex conditions than the simpler Viscoelastic damping model. The value of this approach is the additional structural information provided by the Generalized Rayleigh Damping model, which can be linked to tissue composition as well as rheological interpretations.Elijah E W Van HoutenPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 4, p e93080 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Elijah E W Van Houten Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
description	The identifiability of the two damping components of a Generalized Rayleigh Damping model is investigated through analysis of the continuum equilibrium equations as well as a simple spring-mass system. Generalized Rayleigh Damping provides a more diversified attenuation model than pure Viscoelasticity, with two parameters to describe attenuation effects and account for the complex damping behavior found in biological tissue. For heterogeneous Rayleigh Damped materials, there is no equivalent Viscoelastic system to describe the observed motions. For homogeneous systems, the inverse problem to determine the two Rayleigh Damping components is seen to be uniquely posed, in the sense that the inverse matrix for parameter identification is full rank, with certain conditions: when either multi-frequency data is available or when both shear and dilatational wave propagation is taken into account. For the multi-frequency case, the frequency dependency of the elastic parameters adds a level of complexity to the reconstruction problem that must be addressed for reasonable solutions. For the dilatational wave case, the accuracy of compressional wave measurement in fluid saturated soft tissues becomes an issue for qualitative parameter identification. These issues can be addressed with reasonable assumptions on the negligible damping levels of dilatational waves in soft tissue. In general, the parameters of a Generalized Rayleigh Damping model are identifiable for the elastography inverse problem, although with more complex conditions than the simpler Viscoelastic damping model. The value of this approach is the additional structural information provided by the Generalized Rayleigh Damping model, which can be linked to tissue composition as well as rheological interpretations.
format	article
author	Elijah E W Van Houten
author_facet	Elijah E W Van Houten
author_sort	Elijah E W Van Houten
title	Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
title_short	Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
title_full	Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
title_fullStr	Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
title_full_unstemmed	Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
title_sort	parameter identification in a generalized time-harmonic rayleigh damping model for elastography.
publisher	Public Library of Science (PLoS)
publishDate	2014
url	https://doaj.org/article/3f3f57c73d844442b4bfb6848499f577
work_keys_str_mv	AT elijahewvanhouten parameteridentificationinageneralizedtimeharmonicrayleighdampingmodelforelastography
_version_	1718421796827430912

Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.

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