Bayesian Inference of Vocal Fold Material Properties from Glottal Area Waveforms Using a 2D Finite Element Model

Bayesian estimation has been previously demonstrated as a viable method for developing subject-specific vocal fold models from observations of the glottal area waveform. These prior efforts, however, have been restricted to lumped-element fitting models and synthetic observation data. The indirect r...

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Published inApplied sciences Vol. 9; no. 13; p. 2735
Main Authors Hadwin, Paul J., Motie-Shirazi, Mohsen, Erath, Byron D., Peterson, Sean D.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2019
Subjects
Artificial intelligence
Bayesian analysis
Bayesian inverse analysis
Estimates
finite element analysis
Geometry
Kinematics
Machine learning
Optimization techniques
patient-specific modeling
Random variables
silicone vocal fold models
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Summary:Bayesian estimation has been previously demonstrated as a viable method for developing subject-specific vocal fold models from observations of the glottal area waveform. These prior efforts, however, have been restricted to lumped-element fitting models and synthetic observation data. The indirect relationship between the lumped-element parameters and physical tissue properties renders extracting the latter from the former difficult. Herein we propose a finite element fitting model, which treats the vocal folds as a viscoelastic deformable body comprised of three layers. Using the glottal area waveforms generated by self-oscillating silicone vocal folds we directly estimate the elastic moduli, density, and other material properties of the silicone folds using a Bayesian importance sampling approach. Estimated material properties agree with the “ground truth” experimental values to within 3 % for most parameters. By considering cases with varying subglottal pressure and medial compression we demonstrate that the finite element model coupled with Bayesian estimation is sufficiently sensitive to distinguish between experimental configurations. Additional information not available experimentally, namely, contact pressures, are extracted from the developed finite element models. The contact pressures are found to increase with medial compression and subglottal pressure, in agreement with expectation.
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Author Contributions: P.J.H. and S.D.P. conceived and designed the research; P.J.H. developed the numerical model and performed all simulations, M.M.-S. performed all physical experiments; P.J.H. and M.M.-S. analyzed the data; P.J.H., M.M.-S., B.D.E., and S.D.P. interpreted results; P.J.H. and S.D.P. drafted the manuscript; P.J.H., M.M.-S., B.D.E., and S.D.P. edited, revised, and approved the final version of the manuscript.
ISSN:2076-3417
2076-3417
DOI:10.3390/app9132735