Orthodontic force prediction model of T-loop closing spring based on dynamic resistance model

Jiang, Jingang; Chen, Houjun; Huang, Zhiyuan; Ma, Xikui; Zhang, Yongde; Liu, Yi

doi:10.1177/0954411920943433

Cited by 2 publications

(5 citation statements)

References 35 publications

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“…The approximate deflection curve differential equations for the vertical arm and the supporting arm are obtained as 5,24,27 :

v goodbreak= goodbreak- \frac{P_{1} x^{2}}{6 italicEI} ((), 3 l goodbreak- x), ((), 0 \leq x \leq l)

\frac{d^{2} υ}{normald y^{2}} goodbreak= \frac{M ((), y)}{{italicEI}_{normalz}}

…”

Section: Methods and Modelmentioning

confidence: 99%

“…The approximate deflection curve differential equations for the vertical arm and the supporting arm are obtained as 5,24,27 :…”

Section: Orthodontic Force/torque Prediction Model Establishmentmentioning

confidence: 99%

“…Oral malocclusion caused by congenital genetic factors or acquired environmental factors seriously affects the physical and psychological health of patients. [1][2][3][4][5] Among them, the tooth-lingual tilt/root-lip tilt phenomenon of the central incisors is a common clinical category of oral malocclusion. This malocclusion not only affects the patients' normal communication and appearance, thus causing low self-esteem, but also causes incomplete chewing due to abnormal occlusal relationship, thus causing digestive diseases.…”

Section: Introductionmentioning

confidence: 99%

“…Oral malocclusion caused by congenital genetic factors or acquired environmental factors seriously affects the physical and psychological health of patients 1–5 . Among them, the tooth‐lingual tilt/root‐lip tilt phenomenon of the central incisors is a common clinical category of oral malocclusion.…”

Section: Introductionmentioning

confidence: 99%

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Orthodontic force/torque modeling and experiment of Kitchon root‐controlled auxiliary archwire

Yao,

Jiang,

Zhang

et al. 2023

Numer Methods Biomed Eng

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The incidence of oral malocclusion is increasing and is seriously damaging the oral health of human beings. The Kitchon root‐controlled auxiliary archwire is an individualized orthodontic arch. It is used clinically for the treatment of tooth‐lingual tilt/root‐lip tilt phenomenon of the central incisors. However, the bending parameters of the Kitchon root‐controlled auxiliary archwire used in different patients are based on the clinical experience of the dentists. Therefore, this orthodontic treatment has a high risk and unpredictability. In this paper, the loading performance and orthodontic process of Kitchon root‐controlled auxiliary archwire are analyzed. And the prediction model of support resistance and correction torque are established. The bending parameters of the Kitchon root‐controlled auxiliary archwire, as well as the effect of the bending parameters on the support resistance and the correction torque, are all quantified. And the prediction models for the support resistance and the correction torque are calculated separately. The correlation coefficients of calculated data and experimental data are ξT1 > .97 and ξA1 > .96, respectively; the correlation coefficients of simulated data and experimental data are ξT2 > .96 and ξA2 > .96, respectively. The accuracy and reliability of the established prediction models are verified. It provides an effective theoretical guide for dentists to safely and efficiently perform root‐controlled rotation orthodontic treatment on patients' central incisors.

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“…The approximate deflection curve differential equations for the vertical arm and the supporting arm are obtained as 5,24,27 :

v goodbreak= goodbreak- \frac{P_{1} x^{2}}{6 italicEI} ((), 3 l goodbreak- x), ((), 0 \leq x \leq l)

\frac{d^{2} υ}{normald y^{2}} goodbreak= \frac{M ((), y)}{{italicEI}_{normalz}}

…”

Section: Methods and Modelmentioning

confidence: 99%

“…The approximate deflection curve differential equations for the vertical arm and the supporting arm are obtained as 5,24,27 :…”

Section: Orthodontic Force/torque Prediction Model Establishmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Orthodontic force/torque modeling and experiment of Kitchon root‐controlled auxiliary archwire

Yao,

Jiang,

Zhang

et al. 2023

Numer Methods Biomed Eng

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show abstract

“…At the same time, an expression for the variation of the waxy dental density with time is established. According to the expression, the resistance equation and the inertia force equation, the dynamic resistance model of the waxy dental model in the process of simulated tooth movement is established [ 32 , 33 ], as shown in Fig. 1 .…”

Section: Methodsmentioning

confidence: 99%

Establishment, FEM analysis and experimental validation of tooth movement prediction model of orthodontic archwire T-loop

et al. 2022

Self Cite

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Background The T-loop has been used clinically to close gap between teeth. And it is a typical orthodontic archwire bending method. However, the design of the T-loop parameters for different patients is based on the clinical experience of the dentists. The variation in dentists' clinical experience is the main reason for inadequate orthodontic treatment, even high incidence of postoperative complications. Methods Firstly, the tooth movement prediction model is established based on the analysis of the T-loop structure and the waxy model dynamic resistance. As well as the reverse reconstruction of the complete maxillary 3D model based on the patient CBCT images, the oral biomechanical FEM analysis is completed. A maxillary waxy dental model is manufactured to realize the water-bath measurement experiment in vitro mimicking the oral bio-environment. Thus, the calculated, simulation and experimental data are obtained, as well as obtaining a cloud of total deformation from the simulation analysis. Results The growth trend of the 11 sets of simulation data is the same as that of the experimental data. And all of them show that the tooth displacement is positively correlated with the cross-sectional size of the archwire, and the clearance distance. As well as the higher Young's modulus of the archwire material, the greater the tooth displacement. And the effect of archwire parameters on tooth displacement derived from simulation and experimental data is consistent with the prediction model. The experimental and calculated data are also compared and analyzed, and the two kinds of data are basically consistent in terms of growth trends and fluctuations, with deviation rates ranging from 2.17 to 10.00%. Conclusions This study shows that the accuracy and reliability of the tooth movement prediction model can be verified through the comparative analysis and deviation calculation of the obtained calculated, simulation and experimental data, which can assist dentists to safely and efficiently perform orthodontic treatment on patients. And the FEM analysis can achieve predictability of orthodontic treatment results.

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Orthodontic force prediction model of T-loop closing spring based on dynamic resistance model

Cited by 2 publications

References 35 publications

Orthodontic force/torque modeling and experiment of Kitchon root‐controlled auxiliary archwire

Orthodontic force/torque modeling and experiment of Kitchon root‐controlled auxiliary archwire

Establishment, FEM analysis and experimental validation of tooth movement prediction model of orthodontic archwire T-loop

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