Model-based inverse estimation for active contraction stresses of tongue muscles using 3D surface shape in speech production |
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| Affiliation: | 1. Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan;2. Division of Dental Informatics, Osaka University Dental Hospital, 1-8 Yamadaoka, Suita, Osaka 565-0871, Japan;1. Institute of Environmental Engineering, ETH Zurich, Zurich, Switzerland;2. Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland;1. Radboud University Medical Center, Radboud Institute for Health Sciences, Nijmegen, The Netherlands;2. Department of Orthopedic Surgery, State University of New York, Upstate Medical University, Syracuse, NY, USA;3. University of Twente, Laboratory for Biomechanical Engineering, Faculty of Engineering Technology, Enschede, The Netherlands;1. Department of Mechanical & Industrial Engineering, Montana State University, United States;2. Department of Cell Biology & Neurosciences, Montana State University, United States;3. Department of Orthopaedics & Sports Medicine, University of Washington, United States;1. Department of Medicine (DIMED), Geriatrics Division, University of Padova, Italy;2. Department of Geriatrics, Azienda Sanitaria dell''Alto Adige, Bolzano, Italy;3. Emergency Department, Azienda Sanitaria dell''Alto Adige, Bolzano, Italy;4. National Research Council, Institute of Neuroscience, Aging Branch, Padova, Italy;1. Division of Biomedical Engineering, The Chinese University of Hong Kong, Hong Kong;2. School of Biomedical Sciences, The Chinese University of Hong Kong, Hong Kong |
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| Abstract: | This paper presents a novel inverse estimation approach for the active contraction stresses of tongue muscles during speech. The proposed method is based on variational data assimilation using a mechanical tongue model and 3D tongue surface shapes for speech production. The mechanical tongue model considers nonlinear hyperelasticity, finite deformation, actual geometry from computed tomography (CT) images, and anisotropic active contraction by muscle fibers, the orientations of which are ideally determined using anatomical drawings. The tongue deformation is obtained by solving a stationary force-equilibrium equation using a finite element method. An inverse problem is established to find the combination of muscle contraction stresses that minimizes the Euclidean distance of the tongue surfaces between the mechanical analysis and CT results of speech production, where a signed-distance function represents the tongue surface. Our approach is validated through an ideal numerical example and extended to the real-world case of two Japanese vowels, /ʉ/ and /ɯ/. The results capture the target shape completely and provide an excellent estimation of the active contraction stresses in the ideal case, and exhibit similar tendencies as in previous observations and simulations for the actual vowel cases. The present approach can reveal the relative relationship among the muscle contraction stresses in similar utterances with different tongue shapes, and enables the investigation of the coordination of tongue muscles during speech using only the deformed tongue shape obtained from medical images. This will enhance our understanding of speech motor control. |
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| Keywords: | Tongue muscle Active contraction stress Inverse analysis Variational data assimilation Speech production Nonlinear deformation |
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