Review on Mathematical and Mechanical Models of the Vocal Cord
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-30
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A review on mathematical and mechanical models of the vocal cords is given.
The basic model is a two-mass nonlinear oscillator system which is accepted to be the basic one for mechanical description in voice production.
The model is not only extended into three, five, and more mass systems, systems with time variable parameters and three-dimensional systems, but also simplified into one-mass system with coupled two-direction deflection and damping functions.
The corresponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds.
The models give the conditions for the regular and irregular motions like bifurcation and deterministic chaos in vocal folds.
The obtained results are of special interest for detecting the pathology of vocal cords, when there are no visual effects of disease.
Based on the results given in the paper, the objectives for future investigation in this matter are given.
American Psychological Association (APA)
Cveticanin, Livija. 2012. Review on Mathematical and Mechanical Models of the Vocal Cord. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993856
Modern Language Association (MLA)
Cveticanin, Livija. Review on Mathematical and Mechanical Models of the Vocal Cord. Journal of Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-993856
American Medical Association (AMA)
Cveticanin, Livija. Review on Mathematical and Mechanical Models of the Vocal Cord. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-993856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993856