Experimental evidence of shear waves in fractional viscoelastic rheological models
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Gomez, A... [et al.]. Experimental evidence of shear waves in fractional viscoelastic rheological models. Sci Rep 12, 7448 (2022). [https://doi.org/10.1038/s41598-022-11490-4]
SponsorshipTalentia scholarship from the regional government of Andalusia, Spain C2012H-75146405T-1; Mechanical Engineering Department of University College London, United Kingdom; Spanish Government DPI2017-83859-R EQC2018-004508-P UNGR15-CE3664 PID2020-115372RB-I00 PDC2021-120945-I00; Junta de Andalucia SOMM17/6109/UGR B-TEP-026-UGR18 IE2017-5537 P18-RT-1653
Fractional viscoelastic rheological models, such as the Kelvin Voigt Fractional Derivative model, have been proposed in the literature for modelling shear wave propagation in soft tissue. In this article, our previously developed wave propagation model for transluminal propagation based on a Kelvin Voigt Fractional Derivative wave equation is experimentally validated. The transluminal procedure uses the transmission and detection of shear waves through the luminal wall. The model was compared against high-speed camera observations in translucent elastography phantoms with similar viscoelastic properties to prostate tissue. An ad hoc cross-correlation procedure was used to reconstruct the angular displacement from the high-speed camera observations. Rheometry and shear wave elastography were used for characterising the shear wave velocity dispersion curve for the phantoms. Fractional viscoelastic properties were derived after fitting the dispersion curve to its analytical expression. Propagation features and amplitude spectra from simulations and high-speed camera observations were compared. The obtained results indicate that the model replicates the experimental observations with acceptable accuracy. The model presented here provides a useful tool to model transluminal procedures based on wave propagation and its interaction with the mechanical properties of the tissue outside the lumen.