{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T17:01:32Z","timestamp":1778605292644,"version":"3.51.4"},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of the Mechanical Behavior of Biomedical Materials"],"published-print":{"date-parts":[[2023,12]]},"DOI":"10.1016\/j.jmbbm.2023.106209","type":"journal-article","created":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T07:32:28Z","timestamp":1698391948000},"page":"106209","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Studying the mechanical properties of the mandible and injury prediction under the effect of ossification factors"],"prefix":"10.1016","volume":"148","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2179-196X","authenticated-orcid":false,"given":"Amirhossein","family":"Jafariandehkordi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alireza","family":"Daneshmehr","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jmbbm.2023.106209_bib1","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.mechrescom.2018.12.004","article-title":"A simple mathematical model for the resonance frequency analysis of dental implant stability: implant clamping quotient","volume":"95","author":"Argatov","year":"2019","journal-title":"Mech. Res. Commun."},{"issue":"5","key":"10.1016\/j.jmbbm.2023.106209_bib2","doi-asserted-by":"crossref","first-page":"1028","DOI":"10.1111\/cid.12828","article-title":"Mathematical equations for dental implant stability patterns during the osseointegration period, based on previous resonance frequency analysis studies","volume":"21","author":"Charatchaiwanna","year":"2019","journal-title":"Clin. Implant Dent. Relat. Res."},{"key":"10.1016\/j.jmbbm.2023.106209_bib3","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/j.jmbbm.2019.03.001","article-title":"Periprosthetic biomechanical response towards dental implants, with functional gradation, for single\/multiple dental loss","volume":"94","author":"Chatterjee","year":"2019","journal-title":"J. Mech. Behav. Biomed. Mater."},{"key":"10.1016\/j.jmbbm.2023.106209_bib4","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1016\/j.cam.2014.11.025","article-title":"A mathematical model of bone remodeling with delays","volume":"291","author":"Chen-Charpentier","year":"2016","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.jmbbm.2023.106209_bib5","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.matdes.2015.06.091","article-title":"Effect of orthotropic material on finite element modeling of completely dentate mandible","volume":"84","author":"Ding","year":"2015","journal-title":"Mater. Des."},{"issue":"April","key":"10.1016\/j.jmbbm.2023.106209_bib6","article-title":"Biomechanical simulation of forces and moments of initial orthodontic tooth movement in dependence on the used archwire system by ROSS (Robot Orthodontic Measurement & Simulation System)","volume":"144","author":"Dotzer","year":"2023","journal-title":"J. Mech. Behav. Biomed. Mater."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib7","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.ajodo.2021.02.019","article-title":"Three-dimensional comparison of the effects of sliding mechanics in labial and lingual orthodontics using the finite element method","volume":"162","author":"El Khoury","year":"2022","journal-title":"Am. J. Orthod. Dentofacial Orthop."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib8","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/s10237-018-1067-y","article-title":"Effects of hydration and mineralization on the deformation mechanisms of collagen fibrils in bone at the nanoscale","volume":"18","author":"Fielder","year":"2019","journal-title":"Biomech. Model. Mechanobiol."},{"key":"10.1016\/j.jmbbm.2023.106209_bib9","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1002\/ar.a.10119","article-title":"Bone's mechanostat: a 2003 update","volume":"275","author":"Frost","year":"2003","journal-title":"Anat. Rec. Part A Discoveries in Molecular, Cellular, and Evolutionary Biology"},{"issue":"5","key":"10.1016\/j.jmbbm.2023.106209_bib10","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1007\/s10237-008-0144-z","article-title":"A reaction-diffusion model for long bones growth","volume":"8","author":"Garz\u00f3n-Alvarado","year":"2009","journal-title":"Biomech. Model. Mechanobiol."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib11","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.irbm.2018.10.006","article-title":"Quantitative ultrasound assessment of cortical bone properties beyond bone mineral density","volume":"40","author":"Grimal","year":"2019","journal-title":"IRBM"},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib12","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1007\/s10439-007-9393-8","article-title":"Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible","volume":"36","author":"Hellmich","year":"2008","journal-title":"Ann. Biomed. Eng."},{"key":"10.1016\/j.jmbbm.2023.106209_bib13","doi-asserted-by":"crossref","DOI":"10.4012\/dmj.13.182","article-title":"Original paper effect of calcium ions on hydroxyapatite formation from the hydrolysis of anhydrous dicalcium phosphate","volume":"13","author":"Ishikawa","year":"1994","journal-title":"Dent. Mater. J."},{"key":"10.1016\/j.jmbbm.2023.106209_bib14","doi-asserted-by":"crossref","DOI":"10.1016\/j.mechrescom.2020.103539","article-title":"A biomechanical simulation of the brain glioma growth considering the effects of oxygen Bunsen solubility coefficient","volume":"106","author":"Jafariandehkordi","year":"2020","journal-title":"Mech. Res. Commun."},{"key":"10.1016\/j.jmbbm.2023.106209_bib15","doi-asserted-by":"crossref","DOI":"10.1016\/j.cmpbup.2021.100033","article-title":"A finite element optimization of the design variables of a dental implant screw based on the Mechanostat Theory","volume":"1","author":"Jafariandehkordi","year":"2021","journal-title":"Comput. Method. Program. Biomed. Update"},{"issue":"2","key":"10.1016\/j.jmbbm.2023.106209_bib16","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1590\/2176-9451.20.2.119-125.sar","article-title":"Scientific use of the finite element method in Orthodontics","volume":"20","author":"Knop","year":"2015","journal-title":"Dental. Press J. Orthod."},{"issue":"2","key":"10.1016\/j.jmbbm.2023.106209_bib17","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/S8756-3282(03)00157-1","article-title":"Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling","volume":"33","author":"Komarova","year":"2003","journal-title":"Bone"},{"issue":"AUG","key":"10.1016\/j.jmbbm.2023.106209_bib18","article-title":"Mathematical model for bone mineralization","volume":"3","author":"Komarova","year":"2015","journal-title":"Front. Cell Dev. Biol."},{"key":"10.1016\/j.jmbbm.2023.106209_bib19","first-page":"200","article-title":"Biomechanical effects of dental implant diameter, connection type, and bone density on microgap formation and fatigue failure: a finite element analysis","author":"Lee","year":"2021","journal-title":"Comput. Methods Progr. Biomed."},{"issue":"3","key":"10.1016\/j.jmbbm.2023.106209_bib20","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.jtbi.2004.03.023","article-title":"Modeling the interactions between osteoblast and osteoclast activities in bone remodeling","volume":"229","author":"Lemaire","year":"2004","journal-title":"J. Theor. Biol."},{"issue":"5","key":"10.1016\/j.jmbbm.2023.106209_bib21","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1007\/s001980050032","article-title":"Material properties of bone from the femoral neck and calcar femorale of patients with osteoporosis or osteoarthritis","volume":"7","author":"Li","year":"1997","journal-title":"Osteoporos. Int."},{"key":"10.1016\/j.jmbbm.2023.106209_bib22","first-page":"10","article-title":"Mathematical modeling of bone in-growth into undegradable porous periodic scaffolds under mechanical stimulus","author":"Liu","year":"2019","journal-title":"J. Tissue Eng."},{"key":"10.1016\/j.jmbbm.2023.106209_bib23","doi-asserted-by":"crossref","DOI":"10.1177\/2041731419827167","article-title":"Mathematical modeling of bone in-growth into undegradable porous periodic scaffolds under mechanical stimulus","volume":"10","author":"Liu","year":"2019","journal-title":"J. Tissue Eng."},{"key":"10.1016\/j.jmbbm.2023.106209_bib24","unstructured":"Ma S, Yang BY, Carnes DL, Kim K, Park S, Oh SH, et al. EFFECTS OF DISSOLVED CALCIUM AND PHOSPHOROUS ON OSTEOBLAST RESPONSES Hydroxyapatite Materials Characterization Dissolution Alkaline Phosphatase Specific Activity Osteocalcin.."},{"key":"10.1016\/j.jmbbm.2023.106209_bib25","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1016\/j.jmbbm.2013.02.013","article-title":"Verification of the mechanostat theory in mandible remodeling after tooth extraction: animal study and numerical modeling","volume":"20","author":"Mahnama","year":"2013","journal-title":"J Mech. Behav. Biomed. Mater."},{"key":"10.1016\/j.jmbbm.2023.106209_bib26","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.compbiomed.2018.03.012","article-title":"Micro finite element analysis of dental implants under different loading conditions","volume":"96","author":"Marci\u00e1n","year":"2018","journal-title":"Comput. Biol. Med."},{"key":"10.1016\/j.jmbbm.2023.106209_bib27","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.jbiomech.2013.09.021","article-title":"Biomechanical determinants of the stability of dental implants: influence of the bone-implant interface properties","volume":"47","author":"Mathieu","year":"2014","journal-title":"J. Biomech."},{"issue":"4","key":"10.1016\/j.jmbbm.2023.106209_bib28","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1016\/j.ajodo.2018.05.018","article-title":"Finite element analysis of the dental pulp under orthodontic forces","volume":"155","author":"Moga","year":"2019","journal-title":"Am. J. Orthod. Dentofacial Orthoped."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib29","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1097\/ID.0b013e31823fce22","article-title":"Stress and strain patterns of 1-piece and 2-piece implant systems in bone: a 3-dimensional finite element analysis","volume":"21","author":"Ormianer","year":"2012","journal-title":"Implant Dent."},{"key":"10.1016\/j.jmbbm.2023.106209_bib32","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1002\/jcb.240550303","article-title":"Osteonal and hemi\u2010osteonal remodeling: The spatial and temporal framework for signal traffic in adult human bone","volume":"55","author":"Parfitt","year":"1994","journal-title":"J. Cell. Biochem."},{"key":"10.1016\/j.jmbbm.2023.106209_bib30","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.bone.2017.11.009","article-title":"A mathematical multiscale model of bone remodeling, accounting for pore space-specific mechanosensation","volume":"107","author":"Pastrama","year":"2018","journal-title":"Bone"},{"key":"10.1016\/j.jmbbm.2023.106209_bib31","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1016\/j.engstruct.2012.09.006","article-title":"The influence of bone surface availability in bone remodelling-A mathematical model including coupled geometrical and biomechanical regulations of bone cells","volume":"47","author":"Pivonka","year":"2013","journal-title":"Eng. Struct."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib33","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s11538-016-0229-2","article-title":"Mathematical model of bone remodeling captures the antiresorptive and anabolic actions of various therapies","volume":"79","author":"Ross","year":"2017","journal-title":"Bull. Math. Biol."},{"issue":"5","key":"10.1016\/j.jmbbm.2023.106209_bib34","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1359\/jbmr.081229","article-title":"Mathematical modeling of spatio-temporal dynamics of a single bone multicellular unit","volume":"24","author":"Ryser","year":"2009","journal-title":"J. Bone Miner. Res."},{"key":"10.1016\/j.jmbbm.2023.106209_bib35","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.cma.2012.10.015","article-title":"Coupling systems biology with multiscale mechanics, for computer simulations of bone remodeling","volume":"254","author":"Scheiner","year":"2013","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"10.1016\/j.jmbbm.2023.106209_bib36","article-title":"Research and orthodontics: about scientific progress in biomechanics","author":"Shroff","year":"2023","journal-title":"J. World Fed. Orthod."},{"key":"10.1016\/j.jmbbm.2023.106209_bib37","article-title":"RANKL\/RANK\/OPG pathway: a mechanism involved in exercise-induced bone remodeling","volume":"vol. 2020","author":"Tobeiha","year":"2020"},{"issue":"2","key":"10.1016\/j.jmbbm.2023.106209_bib38","doi-asserted-by":"crossref","DOI":"10.1016\/j.ortho.2023.100747","article-title":"Evaluation of stress distribution values at the temporomandibular joint and distalization of teeth during en-masse retraction of the mandibular dentition using buccal shelf bone screws: a FEM study","volume":"21","author":"Varghese","year":"2023","journal-title":"Int. Orthod."},{"issue":"14","key":"10.1016\/j.jmbbm.2023.106209_bib39","doi-asserted-by":"crossref","first-page":"4841","DOI":"10.1016\/j.actamat.2010.05.019","article-title":"Effect of calcium deficiency on the mechanical properties of hydroxyapatite crystals","volume":"58","author":"Viswanath","year":"2010","journal-title":"Acta Mater."},{"issue":"6","key":"10.1016\/j.jmbbm.2023.106209_bib40","doi-asserted-by":"crossref","first-page":"2285","DOI":"10.1007\/s10237-020-01339-y","article-title":"Mechanical\u2013chemical coupled modeling of bone regeneration within a biodegradable polymer scaffold loaded with VEGF","volume":"19","author":"Wang","year":"2020","journal-title":"Biomech. Model. Mechanobiol."},{"issue":"1","key":"10.1016\/j.jmbbm.2023.106209_bib41","doi-asserted-by":"crossref","DOI":"10.1016\/j.ajodo.2022.10.016","article-title":"Quantification of orthodontic loads on teeth in the correction of canine overeruption using different archwire designs","volume":"163","author":"Wang","year":"2023","journal-title":"Am. J. Orthod. Dentofacial Ortho."},{"key":"10.1016\/j.jmbbm.2023.106209_bib42","volume":"vol. 131","author":"Willie","year":"2020"},{"issue":"7","key":"10.1016\/j.jmbbm.2023.106209_bib43","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1631\/jzus.B1700195","article-title":"A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis","volume":"19","author":"Wu","year":"2018","journal-title":"J. Zhejiang Univ. - Sci. B"},{"key":"10.1016\/j.jmbbm.2023.106209_bib44","series-title":"www.embodi3d.com [Internet]","year":"2020"}],"container-title":["Journal of the Mechanical Behavior of Biomedical Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1751616123005623?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1751616123005623?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T22:57:51Z","timestamp":1761692271000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1751616123005623"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12]]},"references-count":44,"alternative-id":["S1751616123005623"],"URL":"https:\/\/doi.org\/10.1016\/j.jmbbm.2023.106209","relation":{},"ISSN":["1751-6161"],"issn-type":[{"value":"1751-6161","type":"print"}],"subject":[],"published":{"date-parts":[[2023,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Studying the mechanical properties of the mandible and injury prediction under the effect of ossification factors","name":"articletitle","label":"Article Title"},{"value":"Journal of the Mechanical Behavior of Biomedical Materials","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jmbbm.2023.106209","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"106209"}}