Abstract
Experimental research on human phonation is negatively affected by the complexity of the process and the limiting anatomy of the larynx. Numerical simulation of the vocal folds and the formulation of an inverse problem is one way to remedy this. Several studies have explored this choosing different degrees of freedom (DOFs) in a biomechanical Two-Mass-Model (2MM). The selection of the DOFs in an inverse problem has a critical impact on the quality of possible solutions, but also affects the complexity of the problem and convergence speed in solving it.
This work compares previous DOF configurations with several new extended configurations in solving the inverse problem for vocal fold recordings of 20 healthy female subjects. Results indicate that, for the 2MM, uncoupled mass and stiffness, and variable collision strength and damping coefficients improve the matching capabilities. They match physiology and lead to up to 50% smaller errors even for a low number of model evaluations.
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Roy, N., Merrill, R.M., Gray, S.D., Smith, E.M.: Voice disorders in the general population: prevalence, risk factors, and occupational impact. Laryngoscope 115(11), 1988–1995 (2005)
Wilson, J., Deary, I., Millar, A., Mackenzie, K.: The quality of life impact of dysphonia. Clin. Otolaryngol. Allied Sci. 27(3), 179–182 (2002)
Patel, R.R., Dixon, A., Richmond, A., Donohue, K.D.: Pediatric high speed digital imaging of vocal fold vibration: a normative pilot study of glottal closure and phase closure characteristics. Int. J. Pediatr. Otorhinolaryngol. 76(7), 954–959 (2012)
Ishizaka, K., Flanagan, J.L.: Synthesis of voiced sounds from a two-mass model of the vocal cords. Bell Syst. Tech. J. 51(6), 1233–1268 (1972)
Alipour, F., Berry, D.A., Titze, I.R.: A finite-element model of vocal-fold vibration. J. Acoust.Soc. Am. 108(6), 3003–3012 (2000)
Yang, A., Lohscheller, J., Berry, D.A., Becker, S., Eysholdt, U., Voigt, D., Döllinger, M.: Biomechanical modeling of the three-dimensional aspects of human vocal fold dynamics. J. Acoust. Soc. Am. 127(2), 1014–1031 (2010)
Döllinger, M., Hoppe, U., Hettlich, F., Lohscheller, J., Schuberth, S., Eysholdt, U.: Vibration parameter extraction from endoscopic image series of the vocal folds. IEEE Trans. Biomed. Eng. 49(8), 773–781 (2002)
Tao, C., Zhang, Y., Jiang, J.J.: Extracting physiologically relevant parameters of vocal folds from high-speed video image series. IEEE Trans. Biomed. Eng. 54(5), 794–801 (2007)
Wurzbacher, T., Schwarz, R., Döllinger, M., Hoppe, U., Eysholdt, U., Lohscheller, J.: Model-based classification of nonstationary vocal fold vibrations. J. Acoust. Soc. Am. 120(2), 1012–1027 (2006)
Schwarz, R., Hoppe, U., Schuster, M., Wurzbacher, T., Eysholdt, U., Lohscheller, J.: Classification of unilateral vocal fold paralysis by endoscopic digital high-speed recordings and inversion of a biomechanical model. IEEE Trans. Biomed. Eng. 53(6), 1099–1108 (2006)
Yang, A., Stingl, M., Berry, D.A., Lohscheller, J., Voigt, D., Eysholdt, U., Döllinger, M.: Computation of physiological human vocal fold parameters by mathematical optimization of a biomechanical model. J. Acoust. Soc. Am. 130(2), 948–964 (2011)
Steinecke, I., Herzel, H.: Bifurcations in an asymmetric vocal-fold model. J. Acoust. Soc. Am. 97(3), 1874–1884 (1995)
Sommer, D.E., Erath, B.D., Zanartu, M., Peterson, S.D.: Corrected contact dynamics for the steinecke and herzel asymmetric two-mass model of the vocal folds. J. Acoust. Soc. Am. 132(4), EL271–EL276 (2012)
Fulcher, L.P., Scherer, R.C., Melnykov, A., Gateva, V., Limes, M.E.: Negative coulomb damping, limit cycles, and self-oscillation of the vocal folds. Am. J. Phys. 74(5), 386–393 (2006)
Schwarz, H.R., Köckler, N.: Numerische Mathematik. Springer, Heidelberg (2013)
Wittenberg, T., Moser, M., Tigges, M., Eysholdt, U.: Recording, processing, and analysis of digital high-speed sequences in glottography. Mach. Vis. Appl. 8(6), 399–404 (1995)
Storn, R., Price, K.: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11(4), 341–359 (1997)
Semmler, M., Kniesburges, S., Birk, V., Ziethe, A., Patel, R., Döllinger, M.: 3D reconstruction of human laryngeal dynamics based on endoscopic high-speed recordings. IEEE Trans. Med. Imaging 35(7), 1615–1624 (2016)
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This work was supported by German Research Foundation (DFG) research grants DO1247/8-1 and BO4399/2-1.
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Gómez, P., Kniesburges, S., Schützenberger, A., Bohr, C., Döllinger, M. (2017). Degrees of Freedom in a Vocal Fold Inverse Problem. In: Rojas, I., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2017. Lecture Notes in Computer Science(), vol 10208. Springer, Cham. https://doi.org/10.1007/978-3-319-56148-6_42
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DOI: https://doi.org/10.1007/978-3-319-56148-6_42
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