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      Biomechanical simulation of vocal fold dynamics in adults based on laryngeal high-speed videoendoscopy

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          Abstract

          Motivation

          Human voice is generated in the larynx by the two oscillating vocal folds. Owing to the limited space and accessibility of the larynx, endoscopic investigation of the actual phonatory process in detail is challenging. Hence the biomechanics of the human phonatory process are still not yet fully understood. Therefore, we adapt a mathematical model of the vocal folds towards vocal fold oscillations to quantify gender and age related differences expressed by computed biomechanical model parameters.

          Methods

          The vocal fold dynamics are visualized by laryngeal high-speed videoendoscopy (4000 fps). A total of 33 healthy young subjects (16 females, 17 males) and 11 elderly subjects (5 females, 6 males) were recorded. A numerical two-mass model is adapted to the recorded vocal fold oscillations by varying model masses, stiffness and subglottal pressure. For adapting the model towards the recorded vocal fold dynamics, three different optimization algorithms (Nelder–Mead, Particle Swarm Optimization and Simulated Bee Colony) in combination with three cost functions were considered for applicability. Gender differences and age-related kinematic differences reflected by the model parameters were analyzed.

          Results and conclusion

          The biomechanical model in combination with numerical optimization techniques allowed phonatory behavior to be simulated and laryngeal parameters involved to be quantified. All three optimization algorithms showed promising results. However, only one cost function seems to be suitable for this optimization task. The gained model parameters reflect the phonatory biomechanics for men and women well and show quantitative age- and gender-specific differences. The model parameters for younger females and males showed lower subglottal pressures, lower stiffness and higher masses than the corresponding elderly groups. Females exhibited higher subglottal pressures, smaller oscillation masses and larger stiffness than the corresponding similar aged male groups.

          Optimizing numerical models towards vocal fold oscillations is useful to identify underlying laryngeal components controlling the phonatory process.

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          Most cited references97

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          Synthesis of Voiced Sounds From a Two-Mass Model of the Vocal Cords

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            Bifurcations in an asymmetric vocal-fold model.

            A two-mass model of vocal-fold vibrations is analyzed with methods from nonlinear dynamics. Bifurcations are located in parameter planes of physiological interest (subglottal pressure, stiffness of the folds). It is shown that a sufficiently large tension imbalance of the left and right vocal fold induces bifurcations to subharmonic regimes, toroidal oscillations, and chaos. The corresponding attractors are characterized by phase portraits, spectra, and next-maximum maps. The relevance of these simulations for voice disorders such as laryngeal paralysis is discussed.
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              Laryngoscopic and voice characteristics of aged persons.

              Laryngoscopic and voice changes in aged persons were examined in 20 men and 20 women with a mean age of 75 years. From recordings of their voices, voice quality was assessed and the fundamental frequency and pitch perturbation were measured. The characteristic findings obtained were as follows: the aged men tended to show marked vocal fold atrophy and/or edema, with a higher fundamental frequency of voice than young men, and the aged women tended to have vocal fold edema and slight hoarseness, with a lower fundamental frequency than young women. Voice changes in senescence are characterized by slight hoarseness or a noticeable change in fundamental frequency of voice. Change in the mass of vocal folds, due, for example, to atrophy or edema, is considered to be the greatest factor in these voice changes.
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                Author and article information

                Contributors
                Role: ConceptualizationRole: Formal analysisRole: Funding acquisitionRole: MethodologyRole: SoftwareRole: SupervisionRole: Writing – original draftRole: Writing – review & editing
                Role: Data curationRole: Formal analysisRole: MethodologyRole: SoftwareRole: ValidationRole: VisualizationRole: Writing – review & editing
                Role: ConceptualizationRole: InvestigationRole: ResourcesRole: Writing – original draftRole: Writing – review & editing
                Role: Funding acquisitionRole: InvestigationRole: ResourcesRole: Writing – review & editing
                Role: InvestigationRole: ResourcesRole: ValidationRole: VisualizationRole: Writing – review & editing
                Role: ConceptualizationRole: MethodologyRole: SupervisionRole: Writing – original draftRole: Writing – review & editing
                Role: Editor
                Journal
                PLoS One
                PLoS ONE
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                9 November 2017
                2017
                : 12
                : 11
                : e0187486
                Affiliations
                [1 ] Division of Phoniatrics and Pediatric Audiology, Department of Otorhinolaryngology, Head and Neck Surgery, Medical School, Friedrich-Alexander-University Erlangen-Nürnberg, Erlangen, Germany
                [2 ] Department of Speech and Hearing Sciences, Indiana University, Bloomington, Indiana, Indiana, United States of America
                [3 ] Section of Experimental Oncology and Nanomedicine (SEON), Department of Otorhinolaryngology, Head and Neck Surgery, Medical School, Else Kröner-Fresenius-Stiftung-Professorship, Friedrich-Alexander-University Erlangen-Nürnberg, Erlangen, Germany
                University of Waterloo, CANADA
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                Author information
                http://orcid.org/0000-0003-2717-4820
                Article
                PONE-D-16-32614
                10.1371/journal.pone.0187486
                5679561
                29121085
                78ce6089-eb06-4392-9666-9ce17af74003
                © 2017 Döllinger et al

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 15 August 2016
                : 18 October 2017
                Page count
                Figures: 9, Tables: 4, Pages: 26
                Funding
                Funded by: funder-id http://dx.doi.org/10.13039/501100005972, Deutsche Krebshilfe;
                Award ID: 111332
                Award Recipient :
                Funded by: Deutsche Krebshilfe (DE)
                Award ID: 111332
                Award Recipient :
                This study was supported by the Deutsche Krebshilfe ( http://www.krebshilfe.de/nc/startseite.html) under grant no. 111332. The funder had no role in study design, data collection, and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Physical Sciences
                Mathematics
                Optimization
                People and Places
                Population Groupings
                Age Groups
                Elderly
                Physical Sciences
                Materials Science
                Material Properties
                Mechanical Properties
                Stiffness
                Medicine and Health Sciences
                Geriatrics
                Physical Sciences
                Physics
                Classical Mechanics
                Vibration
                Physical Sciences
                Mathematics
                Applied Mathematics
                Algorithms
                Research and Analysis Methods
                Simulation and Modeling
                Algorithms
                Biology and Life Sciences
                Anatomy
                Neck
                Throat
                Larynx
                Medicine and Health Sciences
                Anatomy
                Neck
                Throat
                Larynx
                Research and Analysis Methods
                Simulation and Modeling
                Custom metadata
                All relevant data are available in the paper and its Supporting Information file.

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