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PreprintarXiv licencearXiv

evaluating local viscoelastic properties of artery-mimicking phantoms using high-resolution flexural wavenumber analysis

Abstract

The measurement of guided wave propagation is an effective approach for evaluating arterial wall stiffness. A more comprehensive characterization of viscoelastic material properties could yield more informative biomarkers; however, this additionally requires estimation of wave attenuation. Furthermore, spatially local estimation is necessary for localized pathologies, such as atherosclerotic plaques. To this end, we propose an original two-stage high-resolution method to recover local viscoelastic properties from guided waves in artery-like soft tubes. First, the local frequency-wavenumber dispersion relation including losses is estimated using a high-resolution complex wavenumber identification method. Second, assuming a fractional Kelvin-Voigt rheological model for the tube wall, we estimate the viscoelastic material parameters by fitting the dispersion relation computed with a spectral element method to this estimate. We experimentally validate the proposed approach on flexural wave propagation along water-filled soft tubes, measured with a high-speed camera coupled with digital image correlation. Owing to the high resolution of the method, the axial modulus variation of a graded phantom is recovered. Finally, a Cramér-Rao analysis indicates that the complex wavenumber estimator operates near its theoretical limit, and reveals why local attenuation is intrinsically difficult to recover.

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BibTeX
@misc{gattin2026evaluating,
  title = {{evaluating local viscoelastic properties of artery-mimicking phantoms using high-resolution flexural wavenumber analysis}},
  author = {Max Gattin and Julien de Rosny},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26075},
  eprint = {2610.26075},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26075},
}
RIS
TY  - UNPB
TI  - evaluating local viscoelastic properties of artery-mimicking phantoms using high-resolution flexural wavenumber analysis
AU  - Max Gattin
AU  - Julien de Rosny
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26075
UR  - https://arxiv.org/abs/2610.26075
AB  - The measurement of guided wave propagation is an effective approach for evaluating arterial wall stiffness. A more comprehensive characterization of viscoelastic material properties could yield more informative biomarkers; however, this additionally requires estimation of wave attenuation. Furthermore, spatially local estimation is necessary for localized pathologies, such as atherosclerotic plaques. To this end, we propose an original two-stage high-resolution method to recover local viscoelastic properties from guided waves in artery-like soft tubes. First, the local frequency-wavenumber dispersion relation including losses is estimated using a high-resolution complex wavenumber identification method. Second, assuming a fractional Kelvin-Voigt rheological model for the tube wall, we estimate the viscoelastic material parameters by fitting the dispersion relation computed with a spectral element method to this estimate. We experimentally validate the proposed approach on flexural wave propagation along water-filled soft tubes, measured with a high-speed camera coupled with digital image correlation. Owing to the high resolution of the method, the axial modulus variation of a graded phantom is recovered. Finally, a Cramér-Rao analysis indicates that the complex wavenumber estimator operates near its theoretical limit, and reveals why local attenuation is intrinsically difficult to recover.
ER  -