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Open AccessArticle

Kelvin–Voigt Parameters Reconstruction of Cervical Tissue-Mimicking Phantoms Using Torsional Wave Elastography

1
Department of Structural Mechanics, University of Granada, 18071 Granada, Spain
2
Instituto de Investigación Biosanitaria, ibs.GRANADA, 18012 Granada, Spain
3
Department of Mechanical Engineering, University College London, London WC1E 6BT, UK
4
Excellence Research Unit, “Modelling Nature” (MNat), University of Granada, 18071 Granada, Spain
*
Author to whom correspondence should be addressed.
Sensors 2019, 19(15), 3281; https://doi.org/10.3390/s19153281
Received: 3 May 2019 / Revised: 16 July 2019 / Accepted: 22 July 2019 / Published: 25 July 2019
(This article belongs to the Special Issue Sensors for Biomechanics Application)

The reconstruction of viscous properties of soft tissues, and more specifically, of cervical tissue is a challenging problem. In this paper, a new method is proposed to reconstruct the viscoelastic parameters of cervical tissue-mimicking phantoms by a Torsional Wave Elastography (TWE) technique. The reconstruction method, based on a Probabilistic Inverse Problem (PIP) approach, is presented and experimentally validated against Shear Wave Elastography (SWE). The anatomy of the cervical tissue has been mimicked by means of a two-layer gelatine phantom that simulates the epithelial and connective layers. Five ad hoc oil-in-gelatine phantoms were fabricated at different proportion to test the new reconstruction technique. The PIP approach was used for reconstructing the Kelvin-Voigt (KV) viscoelastic parameters by comparing the measurements obtained from the TWE technique with the synthetic signals from a Finite Difference Time Domain (FDTD) KV wave propagation model. Additionally, SWE tests were realized in order to characterize the viscoelastic properties of each batch of gelatine. Finally, validation was carried out by comparing the KV parameters inferred from the PIP with those reconstructed from the shear wave dispersion curve obtained from the SWE measurements. In order to test the degree of agreement between both techniques, a Student’s T-test and a Pearson’s correlation study were performed. The results indicate that the proposed method is able to reconstruct the KV viscoelastic properties of the cervical tissue, for both the epithelial and connective layers, as well as the thickness of the first layer with acceptable accuracy. View Full-Text
Keywords: Torsional Wave Elastography; Shear Wave Elastography; tissue-mimicking phantom; viscoelasticity; Kelvin-Voigt model; cervical biomechanics Torsional Wave Elastography; Shear Wave Elastography; tissue-mimicking phantom; viscoelasticity; Kelvin-Voigt model; cervical biomechanics
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Callejas, A.; Gomez, A.; Faris, I.H.; Melchor, J.; Rus, G. Kelvin–Voigt Parameters Reconstruction of Cervical Tissue-Mimicking Phantoms Using Torsional Wave Elastography. Sensors 2019, 19, 3281.

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