Recovery of material parameters of soft hyperelastic tissue by an inverse spectral technique

Handle URI:
http://hdl.handle.net/10754/599472
Title:
Recovery of material parameters of soft hyperelastic tissue by an inverse spectral technique
Authors:
Gou, Kun; Joshi, Sunnie; Walton, Jay R.
Abstract:
An inverse spectral method is developed for recovering a spatially inhomogeneous shear modulus for soft tissue. The study is motivated by a novel use of the intravascular ultrasound technique to image arteries. The arterial wall is idealized as a nonlinear isotropic cylindrical hyperelastic body. A boundary value problem is formulated for the response of the arterial wall within a specific class of quasistatic deformations reflective of the response due to imposed blood pressure. Subsequently, a boundary value problem is developed via an asymptotic construction modeling intravascular ultrasound interrogation which generates small amplitude, high frequency time harmonic vibrations superimposed on the static finite deformation. This leads to a system of second order ordinary Sturm-Liouville boundary value problems that are then employed to reconstruct the shear modulus through a nonlinear inverse spectral technique. Numerical examples are demonstrated to show the viability of the method. © 2012 Elsevier Ltd. All rights reserved.
Citation:
Gou K, Joshi S, Walton JR (2012) Recovery of material parameters of soft hyperelastic tissue by an inverse spectral technique. International Journal of Engineering Science 56: 1–16. Available: http://dx.doi.org/10.1016/j.ijengsci.2012.03.002.
Publisher:
Elsevier BV
Journal:
International Journal of Engineering Science
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
Jul-2012
DOI:
10.1016/j.ijengsci.2012.03.002
Type:
Article
ISSN:
0020-7225
Sponsors:
This article is partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGou, Kunen
dc.contributor.authorJoshi, Sunnieen
dc.contributor.authorWalton, Jay R.en
dc.date.accessioned2016-02-28T05:51:46Zen
dc.date.available2016-02-28T05:51:46Zen
dc.date.issued2012-07en
dc.identifier.citationGou K, Joshi S, Walton JR (2012) Recovery of material parameters of soft hyperelastic tissue by an inverse spectral technique. International Journal of Engineering Science 56: 1–16. Available: http://dx.doi.org/10.1016/j.ijengsci.2012.03.002.en
dc.identifier.issn0020-7225en
dc.identifier.doi10.1016/j.ijengsci.2012.03.002en
dc.identifier.urihttp://hdl.handle.net/10754/599472en
dc.description.abstractAn inverse spectral method is developed for recovering a spatially inhomogeneous shear modulus for soft tissue. The study is motivated by a novel use of the intravascular ultrasound technique to image arteries. The arterial wall is idealized as a nonlinear isotropic cylindrical hyperelastic body. A boundary value problem is formulated for the response of the arterial wall within a specific class of quasistatic deformations reflective of the response due to imposed blood pressure. Subsequently, a boundary value problem is developed via an asymptotic construction modeling intravascular ultrasound interrogation which generates small amplitude, high frequency time harmonic vibrations superimposed on the static finite deformation. This leads to a system of second order ordinary Sturm-Liouville boundary value problems that are then employed to reconstruct the shear modulus through a nonlinear inverse spectral technique. Numerical examples are demonstrated to show the viability of the method. © 2012 Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipThis article is partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology.en
dc.publisherElsevier BVen
dc.subjectArterial wallen
dc.subjectAtherosclerosisen
dc.subjectInverse spectral problemen
dc.subjectShear modulusen
dc.subjectShooting methoden
dc.subjectSturm Liouville problemen
dc.titleRecovery of material parameters of soft hyperelastic tissue by an inverse spectral techniqueen
dc.typeArticleen
dc.identifier.journalInternational Journal of Engineering Scienceen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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