Review on Mathematical and Mechanical Models of the Vocal Cord
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/928591 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550292588068864 |
|---|---|
| author | L. Cveticanin |
| author_facet | L. Cveticanin |
| author_sort | L. Cveticanin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d789a9b73a347239bf3df3a608735bd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8d789a9b73a347239bf3df3a608735bd2025-02-03T06:07:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/928591928591Review on Mathematical and Mechanical Models of the Vocal CordL. Cveticanin0Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, 21000 Novi Sad, SerbiaA 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.http://dx.doi.org/10.1155/2012/928591 |
| spellingShingle | L. Cveticanin Review on Mathematical and Mechanical Models of the Vocal Cord Journal of Applied Mathematics |
| title | Review on Mathematical and Mechanical Models of the Vocal Cord |
| title_full | Review on Mathematical and Mechanical Models of the Vocal Cord |
| title_fullStr | Review on Mathematical and Mechanical Models of the Vocal Cord |
| title_full_unstemmed | Review on Mathematical and Mechanical Models of the Vocal Cord |
| title_short | Review on Mathematical and Mechanical Models of the Vocal Cord |
| title_sort | review on mathematical and mechanical models of the vocal cord |
| url | http://dx.doi.org/10.1155/2012/928591 |
| work_keys_str_mv | AT lcveticanin reviewonmathematicalandmechanicalmodelsofthevocalcord |