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      A preliminary study of asymmetric vocal fold vibrations: modeling and "in-vitro" validation

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          Abstract

          This paper deals with some of aspects of the influence of asymmetry on vocal folds vibrations. A theoretical model of vocal fold asymmetry is presented. The influence of asymmetry is quantitatively examined in terms of oscillation frequency and pressure threshold. The theoretical model is compared to "in-vitro" experiment on a deformable replica of vocal folds. It is found that asymmetry strongly influences the oscillation subglottal pressure threshold. Moreover, the vocal fold with the highest mechanical resonance frequency imposes the oscillation fundamental frequency. The influence of geometrical asymmetry instead of purely mechanical asymmetry is shown

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          Bifurcations in an asymmetric vocal-fold model.

          I Steinecke, H Herzel (1995)
          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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            Irregular vocal-fold vibration--high-speed observation and modeling.

            H Herzel, Stephanie Titze, P Mergell (2000)
            Direct observations of nonstationary asymmetric vocal-fold oscillations are reported. Complex time series of the left and the right vocal-fold vibrations are extracted from digital high-speed image sequences separately. The dynamics of the corresponding high-speed glottograms reveals transitions between low-dimensional attractors such as subharmonic and quasiperiodic oscillations. The spectral components of either oscillation are given by positive linear combinations of two fundamental frequencies. Their ratio is determined from the high-speed sequences and is used as a parameter of laryngeal asymmetry in model calculations. The parameters of a simplified asymmetric two-mass model of the larynx are preset by using experimental data. Its bifurcation structure is explored in order to fit simulations to the observed time series. Appropriate parameter settings allow the reproduction of time series and differentiated amplitude contours with quantitative agreement. In particular, several phase-locked episodes ranging from 4:5 to 2:3 rhythms are generated realistically with the model.
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              An in vitro setup to test the relevance and the accuracy of low-order vocal folds models.

              Nicolas Ruty, Avraham Hirschberg, Ines Lopez-Arteaga … (2007)
              An experimental setup and human vocal folds replica able to produce self-sustained oscillations are presented. The aim of the setup is to assess the relevance and the accuracy of theoretical vocal folds models. The applied reduced mechanical models are a variation of the classical two-mass model, and a simplification inspired on the delayed mass model for which the coupling between the masses is expressed as a fixed time delay. The airflow is described as a laminar flow with flow separation. The influence of a downstream resonator is taken into account. The oscillation pressure threshold and fundamental frequency are predicted by applying a stability analysis to the mechanical models. The measured frequency response of the mechanical replica together with the initial (rest) area allows us to determine the model parameters (spring stiffness, damping, geometry, masses). Validation of theoretical model predictions to experimental data shows the relevance of low-order models in gaining a qualitative understanding of phonation. However, quantitative discrepancies remain large due to an inaccurate estimation of the model parameters and the crudeness in either flow or mechanical model description. As an illustration it is shown that significant improvements can be made by accounting for viscous flow effects.
              Article 0 comments Cited 13 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Publication date Created: 07 December 2007
                Article
                ArXiV ID: 0712.1170
                SO-VID: bb121151-e9e5-42c8-b6aa-e1a0dae12f8c
                History
                Custom metadata
                Journal reference Dans Proceeding of the International Seminar on Speech Production - 7TH International Seminar on Speech Production, Ubatuba : Br\'esil (2006)
                Categories physics.class-ph
                Proxy ccsd hal-00194887

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