نوع مقاله : مقاله کامل پژوهشی

نویسندگان

1 دانش آموخته‌ی دوره‌ی دکتری، گروه مهندسی پزشکی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران

2 دانشیار، گروه بیومکانیک، دانشکده‌ی مهندسی پزشکی، دانشگاه صنعتی امیرکبیر، تهران

3 استاد، گروه مکانیک، دانشکده‌ی مهندسی مکانیک، دانشگاه علم و صنعت ایران، تهران

4 دانشیار، دانشگاه علوم پزشکی تهران، تهران

چکیده

صحبت کردن انسان، فرآیند بسیار پیچیده­ای می­باشد که حاصل برهم‌کنش جریان هوا در طول حنجره و ساختار ارتعاشی تارهای صوتی است. سولکوس، یکی از بیماری‌های مرتبط با تارهای صوتی است که در این بیماری، لایه‌هایی از تارهای صوتی وجود نداشته و تارهای صوتی دارای شکاف هستند و درنتیجه اختلالاتی در تولید صوت ایجاد می‌شود. در این مقاله برای اولین بار، بیماری سولکوس به‌صورت عددی مورد مطالعه قرار گرفته و تاثیرات بیماری بر ارتعاشات تارهای صوتی ارزیابی شده است. مدل ایده‌آلی از تارهای صوتی سالم و مبتلا به سولکوس به‌صورت دو‌بعدی تعریف شده‌است و مدل المان محدود از تارهای صوتی و راه‌های هوایی به‌طور کامل جفت‌شده با نرم‌افزار ال‌اس‌داینا حل شده است. مدل محاسباتی ارائه‌شده در دامنه‌ی سیال از ابزار دینامیک سیالات محاسباتی، فرمول‌بندی لاگرانژی-اویلری دلخواه و معادلات تراکم‌ناپذیر پیوستگی و ناویر-استوکس و در  دامنه‌ی جامد از مدل سه‌لایه‌ی الاستیک خطی استفاده شده‌است. نوسانات خود‌تحریک برای تارهای صوتی بیمار درجه‌ی دو، ارائه شده و با مدل سالم مقایسه شده‌است. پاسخ‌ها به صورت کمی وکیفی مطالعه شده و مدل سالم با نتایچ عددی و تجربی گذشته مقایسه شده‌است. تاثیرات بیماری بر پارامترهای جریان و فرکانس ارتعاشی تارهای صوتی، مطالعه ‌شده‌ است. تجزیه‌وتحلیل­های انجام‌شده نشان داد که وجود شکاف در تارهای صوتی بیمار، باعث می­شود فرکانس ارتعاشی تارهای صوتی کاهش یافته و عرض شکاف حنجره و دبی عبوری بیشینه و میانگین از دهانه‌ی حنجره، افزایش می‌یابد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Numerical Analysis and Parametric Study of the Sulcus Vocalis Disorder on the Function of the Vocal Folds‎

نویسندگان [English]

  • Ali Vazifedoost Saleh 1
  • Nasser Fatouraee 2
  • Mahdi Navidbakhsh 3
  • Farzad Izadi 4

1 PhD, Department of Biomedical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Associate Professor, Biological Fluid Mechanics Research Laboratory, Biomechanics Department, Amirkabir University of Technology, Tehran, Iran

3 Professor, School of Mechanical Engineering, Iran University of Sience and Technology, Tehran, Iran

4 MD, Associate Professor, Otorhinolaryngologist, Fellowship of Laryngology ENT-Head and Neck Research Center and Department, Hazrat Rasoul Akram Hospital, Univercity of Medical Sciences, Tehran, Iran

چکیده [English]

In terms of mechanical behavior, human’s speaking and generating voice is a sophisticated process which is resulted in interaction between flowing air through the larynx and oscillating functionality of vocal folds. The sulcus vocalis is one of the individual cases of scarring in which the superficial lamina propria is absent over the length of the vocal fold and can procreate several disorders in voice generation. In this study, for the first time, the effects of sulcus vocalis on vibrating functionality of vocal folds have been assessed by employing finite element numerical modeling. Two-dimensional models of either healthy or sulcus vocal folds were implemented which each one is coupled and solved via LS-dyne software. Also, the three e-layer linear elastic model was utilized for the structure phase and the arbitrary Lagrangian-Eulerian (ALE), incompressible continuity, and Navier- Stokes relations were used for the fluid domain. Type II patients’ self-excited oscillations have been exhibited and compared with the healthy model. The results of the healthy model were assessed and compared with numerical and experimental results of previous studies. Moreover, the influences of the sulcus not only on the flow components but also on the oscillating functionality of the vocal folds have been evaluated. The results indicated that the frequency of vocal folds’ vibrations and the value of volume flux tends to be remarkably declined and boosted up respectively.

کلیدواژه‌ها [English]

  • Vocal Folds
  • Sulcus
  • Self-Excited Oscillations
[1]     F. Alipour, C. Brucker, D. D Cook, A. Gommel, M. Kaltenbacher, W. Mattheus, et al., "Mathematical models and numerical schemes for the simulation of human phonation," Current Bioinformatics, vol. 6, pp. 323-343, 2011.
[2]     J. Flanagan and L. Landgraf, "Self-oscillating source for vocal-tract synthesizers," IEEE Transactions on Audio and Electroacoustics, vol. 16, pp. 57-64, 1968.
[3]     K. Ishizaka and J. L. Flanagan, "Synthesis of voiced sounds from a two‐mass model of the vocal cords," Bell system technical journal, vol. 51, pp. 1233-1268, 1972.
[4]     I. R. Titze, "The human vocal cords: a mathematical model," Phonetica, vol. 28, pp. 129-170, 1973.
[5]     A. Yang, J. Lohscheller, D. A. Berry, S. Becker, U. Eysholdt, D. Voigt, et al., "Biomechanical modeling of the three-dimensional aspects of human vocal fold dynamics," The Journal of the Acoustical Society of America, vol. 127, pp. 1014-1031, 2010.
[6]     P. Sváček, "Numerical approximation of flow induced vibrations of channel walls," Computers & Fluids, vol. 46, pp. 448-454, 2011.
[7]     M. de Oliveira Rosa, J. C. Pereira, M. Grellet, and A. Alwan, "A contribution to simulating a three-dimensional larynx model using the finite element method," The Journal of the Acoustical Society of America, vol. 114, pp. 2893-2905, 2003.
[8]     X. Zheng, R. Mittal, Q. Xue, and S. Bielamowicz, "Direct-numerical simulation of the glottal jet and vocal-fold dynamics in a three-dimensional laryngeal model," The Journal of the Acoustical Society of America, vol. 130, pp. 404-415, 2011.
[9]     J. Berg and J. Moll, "Zur Anatomie des menschlichen Musculus vocalis," Anatomy and Embryology, vol. 118, pp. 465-470, 1955.
[10] I. Titze, "The Myoelastic Aerodynamic Theory of Phonation (National Center for Voice and Speech, Iowa City, Iowa:)," 2006.
[11] M. D. LaMar, Y. Qi, and J. Xin, "Modeling vocal fold motion with a hydrodynamic semicontinuum model," The Journal of the Acoustical Society of America, vol. 114, pp. 455-464, 2003.
[12] C. F. de Luzan, J. Chen, M. Mihaescu, S. M. Khosla, and E. Gutmark, "Computational study of false vocal folds effects on unsteady airflows through static models of the human larynx," Journal of biomechanics, vol. 48, pp. 1248-1257, 2015.
[13] Q. Xue and X. Zheng, "The Effect of False Vocal Folds on Laryngeal Flow Resistance in a Tubular Three-dimensional Computational Laryngeal Model," Journal of Voice, vol. 31, pp. 275-281, 2016.
[14] H. Luo, R. Mittal, and S. A. Bielamowicz, "Analysis of flow-structure interaction in the larynx during phonation using an immersed-boundary method," The Journal of the Acoustical Society of America, vol. 126, pp. 816-824, 2009.
[15] P. Sidlof, E. Lunéville, C. Chambeyron, O. Doaré, A. Chaigne, and J. Horáček, "Finite element modeling of airflow during phonation," Journal of Computational and Applied Mechanics, vol. 4, pp. 121-132, 2010.
[16] S. L. Smith and S. L. Thomson, "Influence of subglottic stenosis on the flow-induced vibration of a computational vocal fold model," Journal of fluids and structures, vol. 38, pp. 77-91, 2013.
[17] C. N. Ford, K. Inagi, A. Khidr, D. M. Bless, and K. W. Gilchrist, "Sulcus vocalis: a rational analytical approach to diagnosis and management," Annals of Otology, Rhinology & Laryngology, vol. 105, pp. 189-200, 1996.
[18] A. V. Sunter, O. Yigit, G. E. Huq, Z. Alkan, I. Kocak, and Y. Buyuk, "Histopathological characteristics of sulcus vocalis," Otolaryngology--Head and Neck Surgery, vol 145, pp .264-269, 2011.
[19] C. S. Hwang, H. J. Lee, J. G. Ha, C. I. Cho, N. H. Kim, H. J. Hong, et al., "Use of pulsed dye laser in the treatment of sulcus vocalis," Otolaryngology--Head and Neck Surgery, vol 185, pp .804-809, 2013.
[20] R. C. Scherer and C.-g. Guo, "Laryngeal modeling: translaryngeal pressure for a model with glottal shapes," International Conference on Spoken Language Processing, 1990.
[21] L. Thomson, L. Mongeau, and S. H. Frankel, "Physical and numerical flow-excited vocal fold models," in MAVEBA, 2003, pp. 147-150.
[22] M. Hirano, "Structure and vibratory behavior of the vocal folds," Dynamic aspects of speech production, vol 1, pp. 13-27, 1977.
[23] X. Pelorson, A. Hirschberg, R. Van Hassel, A. Wijnands, and Y. Auregan, "Theoretical and experimental study of quasisteady‐flow separation within the glottis during phonation. Application to a modified two‐mass model," The Journal of the Acoustical Society of America, vol. 96, pp. 3416-3431, 1994.
[24] F. Alipour and R. C. Scherer, "Characterizing glottal jet turbulence," The Journal of the Acoustical Society of America, vol. 119, pp. 1063-1073, 2006.
[25] C. Tao, Y. Zhang, D. G. Hottinger, and J. J. Jiang, "Asymmetric airflow and vibration induced by the Coanda effect in a symmetric model of the vocal folds," The Journal of the Acoustical Society of America, vol. 122, pp. 2270-2278, 2007.