The Human Vocal Cords: A Mathematical Model

Abstract

Abstract A mathematical model for digital computer simulation of human-like utterances is developed. The overall system consists of a period structure of 16 coupled masses for each of the vocal cords, an 18-section cylindrical tube approximation of the pharynx and mouth, and a similar 12-section nasal tract. Special care has been taken to model separately the functions of the vocal ligament, the vocalic muscle, and the mucosa. Simulated phonation in modal, mixed and falsetto registers is possible. The parameters which control the nature of the phonation are lung pressure, external tension applied to ligament, vocalis, and mucosa, and the internal muscular action of the vocalis. Applications are cited in areas which include vocal physiology, pathology, and pedagogy.