{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T12:46:11Z","timestamp":1785415571910,"version":"3.56.0"},"reference-count":36,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T00:00:00Z","timestamp":1780012800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2023YFC3605604"],"award-info":[{"award-number":["2023YFC3605604"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11972097"],"award-info":[{"award-number":["11972097"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"award":["11972097"],"award-info":[{"award-number":["11972097"]}],"id":[{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bioengineering"],"abstract":"<jats:p>Motion dysfunction constitutes a critical clinical manifestation of temporomandibular joint disorder (TMD). Notably, prior research predominantly consists of qualitative clinical descriptions. To better understand the mandibular movement by quantitative analysis, our study proposes a mathematical approach for extracting kinematic parameters and preliminarily illustrates the feasibility and technical advantages through a comparative kinematic parameters analysis of a volunteer opening\u2013closing movement performed in maximum intercuspal position (MIP) and therapeutic position (TP). By decomposing the translational and rotational components of opening\u2013closing movement, the symmetry of the mandibular movement was improved and the maximum mouth opening was increased after wearing a bite-guiding splint. Furthermore, changes in the spatial position of the finite helical axis (FHA) indicated that the FHA position became more stable after wearing the splint, suggesting that this metric has potential kinematic assessment value. Finally, a cushioning effect was observed at the maximum mouth opening when the bite-guiding splint was worn. This approach is expected to provide clinical practice with a high-precision digital assessment tool and a valuable reference for the quantitative evaluation of personalized temporomandibular joint (TMJ) functional rehabilitation. The method could not only conveniently extract the key kinematic parameters of mandible movement but also efficiently evaluate the therapeutic outcomes of clinical intervention.<\/jats:p>","DOI":"10.3390\/bioengineering13060645","type":"journal-article","created":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T07:58:38Z","timestamp":1780473518000},"page":"645","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Accurate Kinematic Analysis with Clinical Convenience for Decomposing Mandibular Movement into Translational and Rotational Components: A Preliminary Proof-of-Concept Study"],"prefix":"10.3390","volume":"13","author":[{"given":"Youyi","family":"He","sequence":"first","affiliation":[{"name":"College of Aerospace Engineering, Chongqing University, No. 174 Shazhengjie, Shapingba District, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baotian","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Aerospace Engineering, Chongqing University, No. 174 Shazhengjie, Shapingba District, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haolin","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Oral Disease, National Clinical Research Center for Oral Disease, West China Hospital of Stomatology, Sichuan University, No. 24, Yihuan Road, Wuhou District, Chengdu 610065, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Deqiang","family":"Yin","sequence":"additional","affiliation":[{"name":"College of Aerospace Engineering, Chongqing University, No. 174 Shazhengjie, Shapingba District, Chongqing 400044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Oral Disease, National Clinical Research Center for Oral Disease, West China Hospital of Stomatology, Sichuan University, No. 24, Yihuan Road, Wuhou District, Chengdu 610065, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2026,5,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107137","DOI":"10.1016\/j.jmbbm.2025.107137","article-title":"Acoustic emission-based diagnostic tool for temporomandibular joint implant fixation screw loosening","volume":"171","author":"Jacob","year":"2025","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.jds.2020.05.015","article-title":"Assessment of mandibular kinematics values and its relevance for the diagnosis of temporomandibular joint disorders","volume":"16","author":"Leissner","year":"2021","journal-title":"J. Dent. Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"103406","DOI":"10.1016\/j.jmbbm.2019.103406","article-title":"The dynamic mechanical viscoelastic properties of the temporomandibular joint disc: The role of collagen and elastin fibers from a perspective of polymer dynamics","volume":"100","author":"Fazaeli","year":"2019","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Woo, J., Jeon, J., and Hong, J. (2026). Kinematic Analysis-Guided Individualized Exercise for Temporomandibular Disorders: A Case Series. J. Clin. Med., 15.","DOI":"10.3390\/jcm15020655"},{"key":"ref_5","first-page":"365","article-title":"Assessment of association between muscular diagnosis in temporomandibular disorders with mandibular kinematics","volume":"37","year":"2018","journal-title":"Cranio\u00ae"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1111\/j.1365-2842.2007.01787.x","article-title":"Asymmetric muscle function in patients with developmental mandibular asymmetry","volume":"35","author":"Dong","year":"2008","journal-title":"J. Oral Rehabil."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"102696","DOI":"10.1016\/j.jormas.2025.102696","article-title":"Early postoperative occlusal intervention in patients with maxillofacial trauma and malocclusion: Impact on mandibular function recovery","volume":"127","author":"Yang","year":"2026","journal-title":"J. Stomatol. Oral Maxillofac. Surg."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"105534","DOI":"10.1016\/j.jdent.2024.105534","article-title":"3-Dimensional quantitative analysis of mandibular motion in TMD and healthy subjects: Comparison with clinical observations","volume":"153","author":"Tang","year":"2025","journal-title":"J. Dent."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"79","DOI":"10.15517\/ijds.2024.60113","article-title":"Exploring the Complexities of Temporomandibular Joint Function and Dysfunction: A Contemporary Review","volume":"26","author":"Vinayak","year":"2024","journal-title":"Odovtos-Int. J. Dent. Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1038\/s41405-024-00213-8","article-title":"Pure rotation in the temporomandibular joint during jaw opening? A digital motion analysis","volume":"10","author":"Jasz","year":"2024","journal-title":"BDJ Open"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.joms.2010.05.085","article-title":"Development of a Mandibular Motion Simulator for Total Joint Replacement","volume":"69","author":"Celebi","year":"2011","journal-title":"J. Oral Maxillofac. Surg."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1056\/NEJM188907041210103","article-title":"The movements of the lower jaw","volume":"121","author":"Luce","year":"1889","journal-title":"Boston. Med. Surg. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/0022-3913(60)90005-6","article-title":"The mandibular hinge axis and a method of locating it","volume":"10","author":"McCollum","year":"1960","journal-title":"J. Prosthet. Dent."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"834","DOI":"10.14219\/jada.archive.1975.0164","article-title":"Kinesiometric instrumentation: A new technology","volume":"90","author":"Jankelson","year":"1975","journal-title":"J. Am. Dent. Assoc."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"109994","DOI":"10.1016\/j.jbiomech.2020.109994","article-title":"Measurement of normal and pathological mandibular and temporomandibular joint kinematics: A systematic review","volume":"111","author":"Woodford","year":"2020","journal-title":"J. Biomech."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Morikawa, K., Isogai, R., Nonaka, J., Yoshida, Y., Haga, S., and Maki, K. (2022). A New Intraoral Six-Degrees-of-Freedom Jaw Movement Tracking Method Using Magnetic Fingerprints. Sensors, 22.","DOI":"10.3390\/s22228923"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.prosdent.2022.05.012","article-title":"Digital maxillomandibular relationship and mandibular motion recording by using an optical jaw tracking system to acquire a dynamic virtual patient","volume":"132","author":"Zeitler","year":"2024","journal-title":"J. Prosthet. Dent."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Zhao, T., Yang, H., Sui, H., Salvi, S.S., Wang, Y., and Sun, Y. (2016). Accuracy of a Real-Time, Computerized, Binocular, Three-Dimensional Trajectory-Tracking Device for Recording Functional Mandibular Movements. PLoS ONE, 11.","DOI":"10.1371\/journal.pone.0163934"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Peng, C., Cai, Q., Chen, M., and Jiang, X. (2022). Recent Advances in Tracking Devices for Biomedical Ultrasound Imaging Applications. Micromachines, 13.","DOI":"10.3390\/mi13111855"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1702","DOI":"10.1109\/TMI.2014.2321777","article-title":"Electromagnetic tracking in medicine\u2014A review of technology, validation, and applications","volume":"33","author":"Franz","year":"2014","journal-title":"IEEE Trans. Med. Imaging"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/j.jmpt.2018.11.008","article-title":"Reliability in Mandibular Movement Evaluation Using Photogrammetry in Patients With Temporomandibular Disorders","volume":"42","author":"Andrade","year":"2019","journal-title":"J. Manip. Physiol. Ther."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1016\/j.prosdent.2020.01.020","article-title":"Symmetry of mandibular movements: A 3D electromagnetic articulography technique applied on asymptomatic participants","volume":"125","author":"Lezcano","year":"2021","journal-title":"J. Prosthet. Dent."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"11721","DOI":"10.1038\/s41598-023-37139-4","article-title":"Condylar motion analysis: A controlled, blinded clinical study on the interindividual reproducibility of standardized evaluation of computer-recorded condylar movements","volume":"13","author":"Ahlers","year":"2023","journal-title":"Sci. Rep."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1046\/j.1365-2842.2003.01066.x","article-title":"Measurement of condylar motion: A plea for the use of the condylar kinematic centre","volume":"30","author":"Naeije","year":"2003","journal-title":"J. Oral Rehabil."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Scolaro, A., Khijmatgar, S., Rai, P.M., Falsarone, F., Alicchio, F., Mosca, A., Greco, C., Del Fabbro, M., and Tartaglia, G.M. (2022). Efficacy of Kinematic Parameters for Assessment of Temporomandibular Joint Function and Disfunction: A Systematic Review and Meta-Analysis. Bioengineering, 9.","DOI":"10.3390\/bioengineering9070269"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.jormas.2021.06.004","article-title":"Methods of mandibular condyle position and rotation center used for orthognathic surgery planning: A systematic review","volume":"123","author":"Barretto","year":"2022","journal-title":"J. Stomatol. Oral Maxillofac. Surg."},{"key":"ref_27","first-page":"447","article-title":"Numerical modelling of human masticatory organ kinematics","volume":"18","author":"Kijak","year":"2012","journal-title":"Mechanika"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1186\/1475-925X-12-17","article-title":"A specialized motion capture system for real-time analysis of mandibular movements using infrared cameras","volume":"12","author":"Furtado","year":"2013","journal-title":"Biomed. Eng. Online"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"423","DOI":"10.2460\/ajvr.67.3.423","article-title":"Kinematics of the equine temporomandibular joint","volume":"67","author":"Bonin","year":"2006","journal-title":"Am. J. Vet. Res."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Cong, N., Wang, N., Huang, S., Cheng, T., and Yan, X. (2021). Diagnostic significance of magnetic resonance imaging in distinguishing temporomandibular disorders: A retrospective chart review. BMC Oral Health, 21.","DOI":"10.1186\/s12903-021-01826-3"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"105671","DOI":"10.1016\/j.cmpb.2020.105671","article-title":"Biomechanical responses of temporomandibular joints during the lateral protrusions: A 3D finite element study","volume":"195","author":"Shu","year":"2020","journal-title":"Comput. Methods Programs Biomed."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"112393","DOI":"10.1016\/j.jbiomech.2024.112393","article-title":"Evaluation of mandibular motions in patients with anterior disc displacement during mouth opening and closing using finite helical axis","volume":"176","author":"Teng","year":"2024","journal-title":"J. Biomech."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"104195","DOI":"10.1016\/j.medengphy.2024.104195","article-title":"Motion reconstruction and finite element analysis of the temporomandibular joint during swallowing in healthy adults","volume":"130","author":"Teng","year":"2024","journal-title":"Med. Eng. Phys."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s00784-024-05579-5","article-title":"Relationships between functional temporomandibular joint space and disc morphology, position, and condylar osseous condition in patients with temporomandibular disorder","volume":"28","author":"Zhu","year":"2024","journal-title":"Clin. Oral Investig."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"0300060520951052","DOI":"10.1177\/0300060520951052","article-title":"Magnetic resonance imaging-guided disc\u2013condyle relationship adjustment via articulation: A technical note and case series","volume":"48","author":"Xiong","year":"2020","journal-title":"J. Int. Med. Res."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"e32037","DOI":"10.1016\/j.heliyon.2024.e32037","article-title":"A proposed novel digital condylar position adjustment technique to help restore a normal disc-condyle relationship","volume":"10","author":"Gong","year":"2024","journal-title":"Heliyon"}],"container-title":["Bioengineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2306-5354\/13\/6\/645\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T08:45:14Z","timestamp":1780476314000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2306-5354\/13\/6\/645"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5,29]]},"references-count":36,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2026,6]]}},"alternative-id":["bioengineering13060645"],"URL":"https:\/\/doi.org\/10.3390\/bioengineering13060645","relation":{},"ISSN":["2306-5354"],"issn-type":[{"value":"2306-5354","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,5,29]]}}}