{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,27]],"date-time":"2026-09-27T10:43:55Z","timestamp":1790505835148,"version":"4.1.0"},"reference-count":32,"publisher":"Acoustical Society of America (ASA)","issue":"2","funder":[{"DOI":"10.13039\/100000055","name":"National Institute on Deafness and Other Communication Disorders","doi-asserted-by":"publisher","award":["R01 DC014538-01A1"],"award-info":[{"award-number":["R01 DC014538-01A1"]}],"id":[{"id":"10.13039\/100000055","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000055","name":"National Institute on Deafness and Other Communication Disorders","doi-asserted-by":"publisher","award":["R01DC013573"],"award-info":[{"award-number":["R01DC013573"]}],"id":[{"id":"10.13039\/100000055","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2019,2,1]]},"abstract":"<jats:p>The effective depth of vocal fold vibration is self-regulated and generally not known a priori in vocalization. In this study, the effective depth was quantified systematically under various phonatory conditions using a fiber-gel finite element vocal fold model. The horizontal and vertical excursions of each finite element nodal point trajectory were recorded to compute trajectory areas. The extent of vibration was then studied based on the variation of trajectory radii as a function of depth in several coronal sections along the anterior-posterior direction. The results suggested that the vocal fold nodal trajectory excursions decrease systematically as a function of depth but are affected by the layered structure of the vocal folds. The effective depth of vibration was found to range between 15 and 55% of the total anatomical depth across all phonatory conditions. The nodal trajectories from the current study were compared qualitatively with the results from excised human hemi-larynx experiments published in D\u00f6llinger and Berry [(2006). J. Voice. 20(3), 401\u2013413]. An estimate of the effective mass of a one-mass vocal fold model was also computed based on the effective depth of vibration observed in this study under various phonatory conditions.<\/jats:p>","DOI":"10.1121\/1.5091099","type":"journal-article","created":{"date-parts":[[2019,2,19]],"date-time":"2019-02-19T16:59:37Z","timestamp":1550595577000},"page":"881-891","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":11,"title":["A computational study of depth of vibration into vocal fold tissues"],"prefix":"10.1121","volume":"145","author":[{"given":"Anil","family":"Palaparthi","sequence":"first","affiliation":[{"name":"National Center for Voice and Speech, The University of Utah , 136 South Main Street, Suite 320, Salt Lake City, Utah 84101, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Simeon","family":"Smith","sequence":"additional","affiliation":[{"name":"National Center for Voice and Speech, The University of Utah , 136 South Main Street, Suite 320, Salt Lake City, Utah 84101, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ted","family":"Mau","sequence":"additional","affiliation":[{"name":"National Center for Voice and Speech, The University of Utah , 136 South Main Street, Suite 320, Salt Lake City, Utah 84101, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ingo R.","family":"Titze","sequence":"additional","affiliation":[{"name":"National Center for Voice and Speech, The University of Utah , 136 South Main Street, Suite 320, Salt Lake City, Utah 84101, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2019,2,19]]},"reference":[{"issue":"6","key":"2023080509470065600_c1","doi-asserted-by":"publisher","first-page":"3003","DOI":"10.1121\/1.1324678","article-title":"A finite-element model of vocal-fold vibration","volume":"108","year":"2000","journal-title":"J. Acoust. Soc. Am."},{"key":"2023080509470065600_c2","first-page":"183","article-title":"Simulation of particle trajectories of vocal fold tissue during phonation","volume-title":"Vocal Fold Physiology: Biomechanics, Acoustics, and Phonatory Control. I.","author":"Titze","year":"1985"},{"key":"2023080509470065600_c3","unstructured":"Baer, T. (1975). \u201cInvestigation of phonation using excised larynxes,\u201d Ph.D. Dissertation, MIT, Cambridge, MA."},{"issue":"5","key":"2023080509470065600_c4","doi-asserted-by":"publisher","first-page":"2539","DOI":"10.1121\/1.1408947","article-title":"High-speed digital imaging of the medial surface of the vocal folds","volume":"110","year":"2001","journal-title":"J. Acoust. Soc. Am."},{"issue":"12","key":"2023080509470065600_c5","doi-asserted-by":"publisher","first-page":"2772","DOI":"10.1002\/lary.25480","article-title":"Differential roles for the thyroarytenoid and lateral cricoarytenoid muscles in phonation","volume":"125","year":"2015","journal-title":"Laryngoscope."},{"issue":"4","key":"2023080509470065600_c6","doi-asserted-by":"publisher","first-page":"2052","DOI":"10.1121\/1.4865918","article-title":"Influence and interactions of laryngeal adductors and cricothyroid muscles on fundamental frequency and glottal posture control","volume":"135","year":"2014","journal-title":"J. Acoust. Soc. Am."},{"key":"2023080509470065600_c7","doi-asserted-by":"publisher","first-page":"22792","DOI":"10.1038\/srep22792","article-title":"In vivo cross-sectional imaging of the phonating larynx using long-range Doppler optical coherence tomography","volume":"6","year":"2016","journal-title":"Sci. Rep."},{"issue":"12","key":"2023080509470065600_c8","doi-asserted-by":"publisher","first-page":"1151","DOI":"10.1177\/000348949910801210","article-title":"Geometric structure of the human and canine cricothyroid and thyroarytenoid muscles for biomechanical applications","volume":"108","year":"1999","journal-title":"Ann. Otol. Rhinol. Laryngol."},{"issue":"6","key":"2023080509470065600_c9","doi-asserted-by":"publisher","first-page":"e255","DOI":"10.1016\/j.jvoice.2010.11.006","article-title":"Cooperative regulation of vocal fold morphology and stress by the cricothyroid and thyroarytenoid muscles","volume":"25","year":"2011","journal-title":"J. Voice."},{"key":"2023080509470065600_c10","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1159\/000111802","article-title":"Clinical implementation of laryngeal high-speed videoendoscopy: Challenges and evolution","volume":"60","year":"2008","journal-title":"Folia Phon. Logopaed."},{"issue":"3","key":"2023080509470065600_c11","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.jvoice.2005.08.003","article-title":"Visualization and quantification of the medial surface dynamics of an excised human vocal fold during phonation","volume":"20","year":"2006","journal-title":"J. Voice."},{"issue":"5","key":"2023080509470065600_c12","doi-asserted-by":"publisher","first-page":"2372","DOI":"10.1121\/1.4947044","article-title":"Dynamic vocal fold parameters with changing adduction in ex-vivo hemilarynx experiments","volume":"139","year":"2016","journal-title":"J. Acoust. Soc. Am."},{"key":"2023080509470065600_c13","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1109\/TAU.1968.1161949","article-title":"Self-oscillating source for vocal tract synthesizer","volume":"16","year":"1968","journal-title":"IEEE Trans. Audio Electroacoust."},{"issue":"8","key":"2023080509470065600_c14","doi-asserted-by":"publisher","first-page":"863","DOI":"10.1002\/lary.1986.96.8.863","article-title":"Clinical experience with injectable collagen for vocal fold augmentation","volume":"96","year":"1986","journal-title":"Laryngoscope"},{"key":"2023080509470065600_c15","first-page":"238","article-title":"Vocal fold vibration in excised larynges viewed with an X-ray stroboscope and an ultra-high speed camera","volume-title":"Vocal Fold Physiology: Contemporary Research and Clinical Issues","author":"Bless","year":"1983"},{"key":"2023080509470065600_c16","doi-asserted-by":"publisher","first-page":"1233","DOI":"10.1002\/j.1538-7305.1972.tb02651.x","article-title":"Synthesis of voiced sounds from a two-mass model of the vocal cords","volume":"51","year":"1972","journal-title":"Bell Syst. Tech. J."},{"issue":"5\u20136","key":"2023080509470065600_c17","doi-asserted-by":"publisher","first-page":"451","DOI":"10.3109\/00016487409126379","article-title":"Thyroplasty as a new phonosurgical technique","volume":"78","year":"1974","journal-title":"Acta Otolaryngol."},{"key":"2023080509470065600_c18","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1044\/1092-4388(2010\/10-0026)","article-title":"Automated measurement of vocal fold vibratory asymmetry from high-speed videoendoscopy recordings","volume":"54","year":"2011","journal-title":"J. Speech Lang. Hear. Res."},{"issue":"4","key":"2023080509470065600_c19","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1001\/archoto.2012.42","article-title":"Long-term voice outcomes after thyroplasty for unilateral vocal fold paralysis","volume":"138","year":"2012","journal-title":"Arch. Otolaryngol. Head Neck Surg."},{"key":"2023080509470065600_c20","first-page":"95","article-title":"X-ray stroboscopy","volume-title":"Vocal Fold Physiology","author":"Stevens","year":"1981"},{"key":"2023080509470065600_c21","first-page":"169","article-title":"Pellet tracking in the vocal fold while phonating-experimental study using canine larynges with muscle activity","volume-title":"Vocal Fold Physiology: Biomechanics, Acoustics and Phonatory Control","author":"Titze","year":"1985"},{"key":"2023080509470065600_c22","volume-title":"The Myo-Elastic Aerodynamic Theory of Phonation","year":"2006"},{"issue":"3","key":"2023080509470065600_c23","doi-asserted-by":"publisher","first-page":"1376","DOI":"10.1121\/1.5001055","article-title":"Comparison of a fiber-gel finite element model of vocal fold vibration to a transversely isotropic stiffness model","volume":"142","year":"2017","journal-title":"J. Acoust. Soc. Am."},{"issue":"4","key":"2023080509470065600_c24","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1016\/S0892-1997(88)80004-3","article-title":"Preliminaries to the body-cover model of pitch control","volume":"1","year":"1988","journal-title":"J. Voice"},{"issue":"3","key":"2023080509470065600_c25","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0892-1997(97)80004-5","article-title":"The dynamics of length change in canine vocal folds","volume":"11","year":"1997","journal-title":"J. Voice"},{"issue":"3","key":"2023080509470065600_c26","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1016\/S0892-1997(89)80003-7","article-title":"Role of the thyroarytenoid muscle in regulation of fundamental frequency","volume":"3","year":"1989","journal-title":"J. Voice"},{"issue":"6","key":"2023080509470065600_c27","doi-asserted-by":"publisher","first-page":"3249","DOI":"10.1121\/1.4900563","article-title":"Benchmarks for time-domain simulation of sound propagation in soft-walled airways: Steady configurations","volume":"136","year":"2014","journal-title":"J. Acoust. Soc. Am."},{"key":"2023080509470065600_c28","doi-asserted-by":"publisher","first-page":"1064","DOI":"10.1121\/1.1496080","article-title":"Rules for controlling low-dimensional vocal fold models with muscle activities","volume":"112","year":"2002","journal-title":"J. Acoust. Soc. Am."},{"issue":"3","key":"2023080509470065600_c29","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1121\/1.380498","article-title":"Normal modes in vocal cord tissues","volume":"57","year":"1975","journal-title":"J. Acoust. Soc. Am."},{"key":"2023080509470065600_c30","first-page":"4845","article-title":"Calculating effective skin depth for thin conductive sheets","year":"2006"},{"key":"2023080509470065600_c31","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1109\/JRPROC.1942.232015","article-title":"Formulas for the skin effect","volume":"30","year":"1942","journal-title":"Proc. IRE"},{"issue":"2","key":"2023080509470065600_c32","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/j.jvoice.2017.05.002","article-title":"Utility of laryngeal high-speed videoendoscopy in clinical voice assessment","volume":"32","year":"2018","journal-title":"J. Voice"}],"container-title":["The Journal of the Acoustical Society of America"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/asa\/jasa\/article-pdf\/145\/2\/881\/13531129\/881_1_online.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/asa\/jasa\/article-pdf\/145\/2\/881\/13531129\/881_1_online.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,5]],"date-time":"2023-08-05T09:47:13Z","timestamp":1691228833000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jasa\/article\/145\/2\/881\/994045\/A-computational-study-of-depth-of-vibration-into"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,1]]},"references-count":32,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,2,1]]}},"URL":"https:\/\/doi.org\/10.1121\/1.5091099","relation":{},"ISSN":["0001-4966","1520-8524"],"issn-type":[{"value":"0001-4966","type":"print"},{"value":"1520-8524","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2019,2]]},"published":{"date-parts":[[2019,2,1]]}}}