Experimental evidence of shear waves in fractional viscoelastic rheological models
Metadatos
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Nature
Date
2022-05-06Referencia bibliográfica
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]
Patrocinador
Talentia 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-1653Résumé
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.