Efficient numerical modeling of vocal fold mechanics

The literature of glottal models is reviewed and the properties of one-mass models, as opposed to multi-mass models, are discussed. A one-mass model is then presented, in which the non-linear interaction between fold displacement and airflow is described through a modified equation that accounts for vertical phase differences between upper and lower fold edges. It is shown that the system behaves qualitatively as higher-dimensional models (e.g., the two-mass Ishizaka--Flanagan model). Numerical techniques for the simulation of the model are discussed, and a method is presented which allows accurate and efficient computation of the non-linear terms.