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References from Combined effects and weight analysis of factors affecting initial maxillary central incisor retraction: a three-dimensional finite element study. Local targets link to admitted publications; unresolved targets remain external evidence.
Morphometric evaluation of changes in the alveolar bone and roots of the maxillary anterior teeth before and after en masse retraction using cone-beam computed tomography
10.2319/041812-325.1 · 2013 · External reference
The effect of orthodontic treatment on periodontal bone support in patients with advanced loss of marginal periodontium
10.1016/0889-5406(88)90292-2 · 1988 · External reference
Use of 3D finite element models to analyze the influence of alveolar bone height on tooth mobility and stress distribution
10.1016/j.jds.2011.03.009 · 2011 · External reference
Effect of labiolingual inclination of a maxillary central incisor and surrounding alveolar bone loss on periodontal stress: a finite element analysis
10.4041/kjod.2016.46.3.155 · 2016 · External reference
Iterative finite element analysis of clear aligner-induced bodily canine movement under alveolar bone loss conditions
10.4041/kjod25.155 · 2025 · External reference
Alveolar bone resorption and the center of resistance modification (3-D analysis by means of the finite element method)
10.1016/s0889-5406(00)70159-4 · 2000 · External reference
Initial stress produced in the periodontal membrane by orthodontic loads in the presence of varying loss of alveolar bone: a three-dimensional finite element analysis
10.1093/ejo/24.1.21 · 2002 · External reference
Effect of varying auxiliaries on maxillary incisor torque control with clear aligners: a finite element analysis
10.1016/j.ajodo.2024.02.012 · 2024 · External reference
Bone density changes around teeth during orthodontic treatment
10.1007/s00784-010-0410-1 · 2011 · External reference
Tooth rotational control with varying attachment configurations in clear aligners under compromised periodontal ligament support: a finite element study
10.1186/s12903-026-08200-1 · 2026 · External reference
Peridental bone changes after orthodontic tooth movement with fixed appliances: a cone-beam computed tomographic study
10.2319/102716-774.1 · 2017 · External reference
Analysis of stress in periodontium associated with orthodontic tooth movement: a three dimensional finite element analysis
10.1080/10255842.2021.1925255 · 2021 · External reference
Three-dimensional finite element analysis of stress in the periodontal ligament of the maxillary first molar with simulated bone loss
10.1067/mod.2001.112999 · 2001 · External reference
Biomechanical analysis of the maxillary molar intrusion: a finite element study
10.1016/j.ajodo.2020.12.028 · 2022 · External reference
The influence of bone density on stresses in the periodontal ligament during orthodontic movement-finite element study on innovative model
10.3390/ma18040776 · 2025 · External reference
Relationship between tooth-movement rate and estimated pressure applied
10.1177/00220345650440051001 · 1965 · External reference
Three-dimensional finite element analysis of retracting pathological migration of the right upper central incisor with a clear aligner
10.1080/10255842.2023.2279011 · 2024 · External reference
Development and validation of 3D finite element models for prediction of orthodontic tooth movement
10.1155/2018/4927503 · 2018 · External reference
Effects of upper-molar distalization using clear aligners in combination with class II elastics: a three-dimensional finite element analysis
10.1186/s12903-022-02526-2 · 2022 · External reference
Multivariate analysis of alveolar bone dehiscence and fenestration in anterior teeth after orthodontic treatment: a retrospective study
10.1111/ocr.12726 · 2024 · External reference
Biomechanical effects of periodontal status on molar sequential distalization with clear aligners: a finite element study
10.1186/s40510-025-00562-6 · 2025 · External reference
Cone-beam computed tomography and interdisciplinary dentofacial therapy: an American academy of periodontology best evidence review focusing on risk assessment of the dentoalveolar bone changes influenced by tooth movement
10.1902/jop.2017.160781 · 2017 · External reference
Tissue reaction to orthodontic tooth movement-a new paradigm
10.1093/ejo/23.6.671 · 2001 · External reference
Machine learning models for improving the diagnosing efficiency of skeletal class I and III in German orthodontic patients
10.1038/s41598-025-97717-6 · 2025 · External reference
Torque differences due to the material variation of the orthodontic appliance: a finite element study
10.1186/s40510-017-0161-5 · 2017 · External reference
Vibration tailored to jawbone density with near-infrared light expedites orthodontic tooth movement
10.1016/j.isci.2025.114237 · 2026 · External reference
Unresolved reference
2006 · External reference
A finite element model of apical force distribution from orthodontic tooth movement
10.1043/0003-3219(2001)071<0127:afemoa>2.0.co;2 · 2001 · External reference
Age effect on orthodontic tooth movement rate and the composition of gingival crevicular fluid: a literature review
10.1007/s00056-019-00206-5 · 2020 · External reference
Elastic properties and apparent density of human edentulous maxilla and mandible
10.1016/j.ijom.2009.06.025 · 2009 · External reference
Experimental determination of optimal force system required for control of anterior tooth movement in sliding mechanics
10.1016/j.ajodo.2007.01.034 · 2009 · External reference
Effective en-masse retraction design with orthodontic mini-implant anchorage: a finite element analysis
10.1016/j.ajodo.2008.06.036 · 2010 · External reference
Alveolar bone morphology in patients with palatally-displaced maxillary lateral incisors before and after orthodontic treatment: a cone-beam computed tomography study
10.1111/ocr.12684 · 2024 · External reference
Upper incisal torque movement with clear aligners: a three-dimensional finite element analysis
10.1016/j.ejwf.2025.04.002 · 2025 · External reference
Moment to force ratios and the center of rotation
10.1016/0889-5406(88)90133-3 · 1988 · External reference
Patterns of initial tooth displacements associated with various root lengths and alveolar bone heights
10.1016/0889-5406(91)70051-w · 1991 · External reference
Machine learning in orthodontics: transforming invisalign treatment planning through precision, interpretability, and ethical practices
10.1016/j.ijmedinf.2025.106139 · 2026 · External reference
The effects of different types of periodontal ligament material models on stresses computed using finite element models
10.1016/j.ajodo.2022.09.008 · 2022 · External reference
Biomechanical effects of orthodontic tooth movement on edentulous alveolar bone: a finite element analysis
10.3389/fbioe.2025.1625027 · 2025 · External reference
The effects of modeling simplifications on craniofacial finite element models: the alveoli (tooth sockets) and periodontal ligaments
10.1016/j.jbiomech.2011.03.022 · 2011 · External reference
Lever arm on bracket vs. lever arm on archwire: a 3D finite element method study of mechanics of miniscrew-supported lingual en-masse retraction of maxillary anterior teeth
10.1016/j.ortho.2023.100791 · 2023 · External reference
Comparative assessment of orthodontic clear aligner versus fixed appliance for anterior retraction: a finite element study
10.1186/s12903-023-03704-6 · 2024 · External reference
Rate of tooth movement under heavy and light continuous orthodontic forces
10.1016/j.ajodo.2009.03.026 · 2009 · External reference
Experimental evaluation of initial tooth displacement, center of resistance, and center of rotation under the influence of an orthodontic force
10.1067/mod.2001.115036 · 2001 · External reference
Effect of power arm length combined with additional anterior torque on the axial orientation of the maxillary incisors during en-masse retraction: a finite element analysis
10.1016/j.ajodo.2023.08.016 · 2024 · External reference
Malocclusions, pathologic tooth migration, and the need for orthodontic treatment in subjects with stage III-IV periodontitis. A cross-sectional study
10.1093/ejo/cjad003 · 2023 · External reference
Biomechanical effects of functional clear aligners on the stomatognathic system in teens with class II malocclusion: a new model through finite element analysis
10.1186/s12903-024-05114-8 · 2024 · External reference