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Zalunardo F, Bruno G, Caragiuli M, Mandolini M, Brunzini A, Gracco A, De Stefani A. Periodontal effects of two Somnodent oral devices for the treatment of OSA: A finite element study. Cranio 2024; 42:400-410. [PMID: 34605375 DOI: 10.1080/08869634.2021.1985209] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
OBJECTIVE The study aims to evaluate the stresses and the deformations generated at the periodontal level by two mandibular advancement devices (MADs) using finite element analysis. METHODS A three-dimensional digital model of the skull of a 29-year-old patient was created using a CBCT. The 3D models of two MADs (Somnodent FlexTM and Somnodent AvantTM) were reconstructed from scanning prototypes based on the patient's anatomy. The overall geometry was imported into software for the finite element study. A force of 11.18 N representing an advancement of 9.5 mm was applied to the devices. A finite element analysis wfas subsequently performed. RESULTS Somnodent FlexTM generates a peak of 3.27 kPa on periodontal ligaments and 287 kPa on teeth. For Somnodent AvantTM the maximum stress is 4.53 kPa on periodontal ligaments and 467 kPa on teeth. CONCLUSION Different activation mechanisms of the devices generate stresses of different entities.
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Affiliation(s)
- Francesca Zalunardo
- Department of Neuroscience, Section of Dentistry, University of Padua, Padua, Italy
| | - Giovanni Bruno
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
| | - Manila Caragiuli
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
| | - Marco Mandolini
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
| | - Agnese Brunzini
- Department of Neuroscience, Section of Dentistry, University of Padua, Padua, Italy
| | - Antonio Gracco
- Department of Neuroscience, Section of Dentistry, University of Padua, Padua, Italy
| | - Alberto De Stefani
- Department of Neuroscience, Section of Dentistry, University of Padua, Padua, Italy
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Caragiuli M, Candelari M, Zalunardo F, Bruno G, De Stefani A, Brunzini A, Mandolini M. Effects of Oral Appliances for Obstructive Sleep Apnoea in Reduced Periodontium: A Finite Element Analysis. Int Dent J 2024:S0020-6539(24)00139-4. [PMID: 38839530 DOI: 10.1016/j.identj.2024.05.002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2023] [Revised: 04/21/2024] [Accepted: 05/07/2024] [Indexed: 06/07/2024] Open
Abstract
BACKGROUND AND OBJECTIVE In the literature, no studies correlate the effects of mandibular advancement devices (MADs) with different titration systems to periodontitis. Through a finite element analysis (FEA), this study investigates the effects generated on periodontal ligaments (PDLs) and teeth by four commercial MADs in periodontal health and with 15% bone resorption. METHODS Four MADs (Somnodent Flex™, Somnodent Avant™, Orthoapnea™, and Herbst™) were digitalised starting from the impressions of a patient's dental arches. A force of 11.18 N, representing an advancement of 9.5 mm, was applied, and a FEA was subsequently performed. After measuring the stresses and displacements on the PDLs and teeth in healthy periodontal conditions, the vertical dimension of the alveolar bone was reduced by 15%, and measurements were repeated. RESULTS In terms of PDL stress, Herbst™ is the device which guarantees a more uniform increment in case of the first stage of periodontitis (+7% for mandibular and maxillary PDLs compared to the healthy condition). For Somnodent™ devices, the PDLs stress increment is almost null for mandibular PDLs but much higher than Herbst™ for maxillary PDLs (+17% and +21% for Flex™ and Avant™). Orthoapnea™ determines a PDL stress augmentation between the other devices (+16% and +7%, respectively, for maxillary and mandibular PDLs). Concerning teeth movement, Herbst™ and Orthoapnea™ determine a lower and more uniform displacement than Somnodent devices. CONCLUSIONS The stress distribution and teeth displacement are strictly related to MAD geometry. Since its minor effects on teeth and PDLs, the Herbst™ could be more appropriate in patients with periodontitis.
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Affiliation(s)
- Manila Caragiuli
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy.
| | - Mara Candelari
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
| | - Francesca Zalunardo
- Department of Neuroscience, Dental Clinic, Section of Dentistry, University of Padua, Padua, Italy
| | - Giovanni Bruno
- Department of Neuroscience, Dental Clinic, Section of Dentistry, University of Padua, Padua, Italy; Department of Industrial Engineering, University Tor Vergata, Rome, Italy
| | - Alberto De Stefani
- Department of Neuroscience, Dental Clinic, Section of Dentistry, University of Padua, Padua, Italy; Department of Pharmacological Sciences, University of Padua, Padua, Italy
| | - Agnese Brunzini
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
| | - Marco Mandolini
- Department of Industrial Engineering and Mathematical Sciences, Università Politecnica delle Marche, Ancona, Italy
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Popowics TE, Hwang I, Lu J, Nguyen T, Sample M, Sangster A, Tang D, Dennison CR, Romanyk DL, Rafferty K, Greenlee G. In vivo measurement of strain in the periodontal space of pig (Sus scrofa) incisors using in-fiber Bragg sensors. J Morphol 2024; 285:e21738. [PMID: 38783683 DOI: 10.1002/jmor.21738] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2023] [Revised: 05/08/2024] [Accepted: 05/13/2024] [Indexed: 05/25/2024]
Abstract
The incisor teeth in pigs, Sus scrofa, function in association with a disc-shaped snout to explore the environment for potential food. Understanding how mechanical loading applied to the tooth deforms the periodontal ligament (PDL) is important to determining the role of periodontal mechanoreceptors during food exploration and feeding. The objective of this study was to use fiber Bragg (FBG) sensors to measure strain in vivo within the PDL space of pig incisors. The central mandibular incisors of pigs underwent spring loaded lingual tipping during FBG strain recording within the labial periodontal space. FBG sensors were placed within the periodontal space of the central mandibular incisors of ~2-3-month-old farm pigs. The magnitude and orientation of spring loads are expected to mimic incisor contact with food. During incisor tipping with load calibrated springs, FBG strains in vitro (N = 6) and in vivo (N = 6) recorded at comparable load levels overlapped in range (-10-20 με). Linear regressions between peak FBG strains, that is, the highest recorded strain value, and baseline strains, that is, strain without applied spring load, were significant across all in vivo experiments (peak strain at 200 g vs. baseline, p = .04; peak strain at 2000 g vs. baseline p = .03; peak strain at 2000 g vs. 200 g, p = .004). These linear relationships indicate that on a per experiment basis, the maximum measured strain at different spring loads showed predictable differences. A Friedman test of the absolute value of peak strain confirmed the significant increase in strain between baseline, 200 g, and 2000 g spring activation (p = .02). Mainly compressive strains were recorded in the labial PDL space and increases in spring load applied in vivo generated increases in FBG strain measurements. These results demonstrate the capacity for FBG sensors to be used in vivo to assess transmission of occlusal loads through the periodontium. PDL strain is associated with mechanoreceptor stimulation and is expected to affect the functional morphology of the incisors. The overall low levels of strain observed may correspond with the robust functional morphology of pig incisors and the tendency for pigs to encounter diverse foods and substrates during food exploration.
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Affiliation(s)
- Tracy E Popowics
- Department of Oral Health Sciences, University of Washington, Seattle, Washington, USA
| | - Isabelle Hwang
- Department of Oral Health Sciences, University of Washington School of Dentistry, University of Washington, Seattle, Washington, USA
| | - Jason Lu
- Department of Oral Health Sciences, University of Washington School of Dentistry, University of Washington, Seattle, Washington, USA
| | - Tammy Nguyen
- Department of Oral Health Sciences, University of Washington School of Dentistry, University of Washington, Seattle, Washington, USA
| | - Morgan Sample
- Department of Oral Health Sciences, University of Washington School of Dentistry, University of Washington, Seattle, Washington, USA
| | - Anissa Sangster
- Department of Oral Health Sciences, University of Washington School of Dentistry, University of Washington, Seattle, Washington, USA
| | - Derrick Tang
- Department of Oral Health Sciences, University of Washington, Seattle, Washington, USA
| | | | - Dan L Romanyk
- Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
| | - Katherine Rafferty
- Department of Orthodontics, University of Washington, Seattle, Washington, USA
| | - Geoffrey Greenlee
- Department of Orthodontics, University of Washington, Seattle, Washington, USA
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Armijo L, Mancl L, Dennison CR, Houg K, Romanyk D, Popowics T. In-fiber Bragg sensor measurements assess fluid effects on strain in the periodontal space of an ex-vivo swine incisor complex under mechanical loading. J Biomech 2023; 157:111729. [PMID: 37473706 DOI: 10.1016/j.jbiomech.2023.111729] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/12/2022] [Revised: 06/14/2023] [Accepted: 07/14/2023] [Indexed: 07/22/2023]
Abstract
The purpose of this study is to determine whether in-fiber Bragg grating (FBG) sensors detect changes within the periodontal ligament (PDL) of ex-vivo swine tooth-PDL-bone complex (TPBC) when manipulating fluid content. Recording strain will allow for a better understanding of the biomechanics of viscoelastic load transfer from the tooth to the PDL during chewing and/or orthodontic tooth movement, as well as replication of these dynamics in regenerated PDL tissues. FBG sensors placed within the PDL of swine incisor teeth were used to measure strain resulting from an intrusive load. Specimens were mounted in a custom platform within an MTS machine and a compressive load was applied at 0.3 mm/s to a depth of 0.5 mm and held for 10 s. Median peak strain and load and median absolute deviation (MAD) were compared: dry vs. saline (n = 19) with bias-corrected bootstrap 95% CI. Dry vs. saline conditions did not statistically differ (median peaks of 5με, 103-105 N) and recorded strains showed high repeatability (MAD of 0.82με, 0.72με, respectively). FBG sensors did not detect the fluid changes in this study, suggesting that the deformation of tissues in the PDL space collectively determine FBG strain in response to tooth loading. The repeatability of measurements demonstrates the potential for FBG sensors to assess the strain in the PDL space of an in vivo swine model.
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Affiliation(s)
- Leigh Armijo
- Dept. of Orthodontics, University of Washington School of Dentistry, Seattle, WA 98195, USA.
| | - Lloyd Mancl
- Dept. of Oral Health Sciences, University of Washington School of Dentistry, Seattle, WA 98195, USA.
| | | | - Kathryn Houg
- Dept. of Mechanical Engineering and School of Dentistry, University of Alberta, Edmonton, Alberta, Canada.
| | - Dan Romanyk
- Dept. of Mechanical Engineering and School of Dentistry, University of Alberta, Edmonton, Alberta, Canada.
| | - Tracy Popowics
- Box 357475, Dept. of Oral Health Sciences, 1959 Pacific Ave. NE, University of Washington School of Dentistry, Seattle, WA 98195, USA.
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5
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Dastgerdi AK, Bavil AY, Rouhi G. The effects of material and structural properties of the periodontal ligament in mechanical function of tooth-PDL-bone complex in dental trauma: A sensitivity study using finiteelement analysis. Proc Inst Mech Eng H 2023:9544119231162716. [PMID: 36939175 DOI: 10.1177/09544119231162716] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/21/2023]
Abstract
Periodontal ligament (PDL) plays a crucial role in transferring load from tooth to its adjacent bone, and its role is more pronounced in case of trauma, due to its shock-absorbing character, which has not been fully understood yet. Different constitutive models have correlated mechanical function of PDL with its anisotropic, inhomogeneous, non-linear elastic nature, and it was variably modeled using Finite Element (FE) simulations of dental trauma. Furthermore, since capturing accurate dimension of PDL is difficult, various thicknesses were considered for PDL in FE reconstruction process. In this study, the sensitivity of FE analyses to variation in mechanical properties, including a large range of elastic properties for a linear elastic model, also a hyper-elastic material model, and various thicknesses of PDL was investigated by developing a CT-based FE model of tooth-PDL-bone complex. Results of this study highlighted the crucial role of PDL in absorption and dissipation of energy, as well as in stress distribution within alveolar bone during dental trauma. It was observed that as Young's modulus of PDL decreases and its thickness increases, its shock-absorbing capacity would be escalated. Moreover, it was found that inclusion of PDL reduces the maximum von Mises stress exerted on the alveolar bone by about 60% in some areas, compared to the case in which the PDL is absent. Results of this work underscore the need of presenting comprehensive constitutive models to describe mechanical behavior of PDL, with the goal of understanding the behavior of a tooth-PDL-bone complex in pathological conditions, such as trauma.
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Affiliation(s)
| | | | - Gholamreza Rouhi
- Faculty of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran
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6
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Houg KP, Camarillo AM, Doschak MR, Major PW, Popowics T, Dennison CR, Romanyk DL. Strain Measurement within an Intact Swine Periodontal Ligament. J Dent Res 2022; 101:1474-1480. [PMID: 35689395 PMCID: PMC9605999 DOI: 10.1177/00220345221100234] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
The periodontal ligament (PDL) provides support, proprioception, nutrition, and protection within the tooth–PDL–bone complex (TPBC). While understanding the mechanical behavior of the PDL is critical, current research has inferred PDL mechanics from finite element models, from experimental measures on complete TPBCs, or through direct measurement of isolated PDL sections. Here, transducers are used in an attempt to quantify ex vivo PDL strain. In-fiber Bragg grating (FBG) sensors are small flexible sensors that can be placed within an intact TPBC and yield repeatable strain measurements from within the PDL space. The objective of this study was to determine: 1) if the FBG strain measured from the PDL space of intact swine premolars ex vivo was equivalent to physical PDL strains estimated through finite element analysis and 2) if a change in FBG strain could be linearly related to a change in finite element strain under variable tooth displacement, applied to an intact swine TPBC. Experimentally, individual TPBCs were subjected to 2 displacements (n = 14). The location of the FBG was determined from representative micro–computed tomography images. From a linear elastic finite element model of a TPBC, the strain magnitudes at the sensor locations were recorded. An experimental ratio (i.e., FBG strain at the first displacement divided by the FBG strain at the second displacement) and a finite element ratio (i.e., finite element strain at the first displacement divided by the finite element strain at the second displacement) were calculated. A linear regression model indicated a statistically significant relationship between the experimental and finite element ratio (P = 0.017) with a correlation coefficient (R2) of 0.448. It was concluded that the FBG sensor could be used as a measure for a change in strain and thus could be implemented in applications where the mechanical properties of an intact PDL are monitored over time.
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Affiliation(s)
- K P Houg
- Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
| | - A M Camarillo
- Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
| | - M R Doschak
- Faculty of Pharmacy & Pharmaceutical Sciences, University of Alberta, Edmonton, AB, Canada
| | - P W Major
- School of Dentistry, University of Alberta, Edmonton, AB, Canada
| | - T Popowics
- Department of Oral Health Science, University of Washington, Seattle, WA, USA
| | - C R Dennison
- Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada
| | - D L Romanyk
- Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada.,School of Dentistry, University of Alberta, Edmonton, AB, Canada
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Frias Cortez MA, Bourauel C, Reichert C, Jäger A, Reimann S. Numerical and biomechanical analysis of orthodontic treatment of recovered periodontally compromised patients. J Orofac Orthop 2021; 83:255-268. [PMID: 34269825 DOI: 10.1007/s00056-021-00324-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2020] [Accepted: 05/01/2021] [Indexed: 11/29/2022]
Abstract
OBJECTIVE Generate a finite element (FE) model to simulate space closure and retraction mechanics for anterior maxillary teeth in periodontally compromised dentition, and compare the biomechanical effect of initial force systems with varying magnitude. MATERIALS AND METHODS The geometry of an idealized finite element model (FEM) of a maxilla was adapted such that the teeth showed reduced periodontal support together with extruded and flared incisors. In a first step, leveling and alignment of the front teeth were simulated. In a second step, force systems for orthodontic space closure of residual spaces on both sides distal to the lateral incisors were simulated. A combined intrusion and retraction cantilever was modeled, to simulate en masse retraction mechanics with segmented arches and elastic chains. A commercial FE system was used for all model generations and simulations. RESULTS Results of the simulations indicated that a force of 1.0 N is too high for space closure of flared front teeth in periodontally damaged dentition, as extreme strains may occur. En masse retraction using cantilever mechanics with lower forces showed a uniform intrusion and retraction movement and thus proved to be a better option for treating patients with a periodontally compromised dentition. CONCLUSION The outcome of this study indicates that increased periodontal stresses resulting from severe attachment loss should be seriously considered by careful planning of the orthodontic mechanics and reduction of the applied forces is suggested. The presented cantilever mechanics seems to be an appropriate means for en masse retraction of periodontally compromised extruded front teeth.
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Affiliation(s)
| | | | | | - Andreas Jäger
- Department of Orthodontics, University of Bonn, Bonn, Germany
| | - Susanne Reimann
- Oral Technology, University of Bonn, Bonn, Germany. .,Medical Engineering, University of Applied Sciences Bremerhaven, An der Karlstadt 8, 27568, Bremerhaven, Germany.
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Marangalou JH, Ghalichi F, Mirzakouchaki B. Numerical simulation of orthodontic bone remodeling. ACTA ACUST UNITED AC 2019. [DOI: 10.1016/j.odw.2008.12.002] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Javad Hazrati Marangalou
- Division of Biomechanics, Mechanical Engineering Department, Sahand University of Technology, Tabriz, Iran
| | - Farzan Ghalichi
- Division of Biomechanics, Mechanical Engineering Department, Sahand University of Technology, Tabriz, Iran
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Heidary Z, Mojra A, Shirazi M, Bazargan M. A novel approach for early evaluation of orthodontic process by a numerical thermomechanical analysis. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2018; 34:e2899. [PMID: 28544269 DOI: 10.1002/cnm.2899] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/29/2016] [Revised: 04/10/2017] [Accepted: 05/17/2017] [Indexed: 06/07/2023]
Abstract
The main objective of this paper is to propose a novel method that provides an opportunity to evaluate an orthodontic process at early phase of the treatment. This was accomplished by finding out a correlation between the applied orthodontic force and thermal variations in the tooth structure. To this end, geometry of the human tooth surrounded by the connective soft tissue called the periodontal ligament and the bone was constructed by employing dental CT scan images of a specific case. The periodontal ligament was modeled by finite strain viscoelastic model through a nonlinear stress-strain relation (hyperelasticity) and nonlinear stress-time relation (viscoelasticity). The tooth structure was loaded by a lateral force with 15 different quantities applied to 20 different locations, along the midedge of the tooth crown. The resultant compressive stress in the periodontal ligament was considered as the cause of elevated cell activity that was modeled by a transient heat flux in the thermal analysis. The heat flux value was estimated by conducting an experiment on a pair of rats. The numerical results showed that by applying an orthodontic force to the tooth structure, a significant temperature rise was observed. By measuring the temperature rise, the orthodontic process can be evaluated.
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Affiliation(s)
- Z Heidary
- Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
| | - A Mojra
- Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
| | - M Shirazi
- Department of Orthodontics and Dental Research Centre, School of Dentistry, Tehran University of Medical Sciences, Tehran, Iran
| | - M Bazargan
- Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
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Nikolaus A, Currey JD, Lindtner T, Fleck C, Zaslansky P. Importance of the variable periodontal ligament geometry for whole tooth mechanical function: A validated numerical study. J Mech Behav Biomed Mater 2017; 67:61-73. [DOI: 10.1016/j.jmbbm.2016.11.020] [Citation(s) in RCA: 42] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2016] [Revised: 11/01/2016] [Accepted: 11/24/2016] [Indexed: 11/27/2022]
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Measuring 3D-orthodontic actions to guide clinical treatments involving coil springs and miniscrews. Biomed Microdevices 2017; 19:14. [PMID: 28243866 DOI: 10.1007/s10544-017-0153-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Abstract
The understanding of the phenomena at the base of tooth movement, due to orthodontic therapy, is an ambitious topic especially with regard to the "optimal forces" able to move teeth without causing irreversible tissue damages. To this aim, a measuring platform for detecting 3D orthodontic actions has been developed. It consists of customized load cells and dedicated acquisition electronics. The force sensors are able to detect, simultaneously and independently of each other, the six orthodontic components which a tooth is affected by. They have been calibrated and then applied on a clinical case that required NiTi closed coil springs and miniscrews for the treatment of upper post-extraction spaces closure. The tests have been conducted on teeth stumps belonging to a plaster cast of the patient's mouth. The load cells characteristics (sensor linearity and repeatability) have been analyzed (0.97 < R 2 < 1; 6.3*10 -6 % < STD < 8.8 %) and, on the basis of calibration data, the actions exerted on teeth have been determined. The biomechanical behavior of the frontal group and clinical interpretation of the results are discussed.
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Hartmann M, Dirk C, Reimann S, Keilig L, Konermann A, Jäger A, Bourauel C. Influence of tooth dimension on the initial mobility based on plaster casts and X-ray images : A numerical study. J Orofac Orthop 2017; 78:285-292. [PMID: 28091721 DOI: 10.1007/s00056-016-0082-9] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2016] [Accepted: 12/05/2016] [Indexed: 12/18/2022]
Abstract
AIMS The goal was to determine the influence of different geometric parameters of the tooth on the initial tooth mobility and the position of the center of resistance employing numerical models based on scaled X-ray images and plaster casts. METHODS The dimensions of tooth 21 were measured in 21 patients, using radiographs and dental casts. Length and mesiodistal width of the tooth were obtained from the X-ray image and the orovestibular diameter from the plaster cast. Finite element models were generated. Cortical and cancellous bone and the periodontal ligament were simulated to create realistic models. Root length (11-17 mm), mesiodistal width (6-10 mm) and orovestibular thickness (7-9 mm) were varied in 1-mm steps to generate 105 models. In the simulation, each model was loaded with a force of 10 N in vestibulopalatinal direction and with a torque of 10 Nmm to determine tooth displacements and center of resistance. RESULTS Initial tooth displacement and thus mobility increased with decreasing total root surface. The shortest, slimmest and thinnest tooth showed a total deflection of 0.14 mm at the incisal edge, while the longest, widest and thickest tooth showed a total deflection of 0.10 mm. Changes in mesiodistal width had the greatest influence on initial tooth mobility and changes in orovestibular thickness the least. The teeth's center of resistance was positioned between 37 and 43% of the root length measured from the cervical margin of the alveolar bone. The center of resistance of the longest dental root investigated was located around 6% more cervically compared to the one of the shortest dental root. The influence of root width and thickness on the position of the center of resistance was significantly lower than root length. CONCLUSION Geometric parameters significantly impact initial tooth mobility and position of the center of resistance. Thus, tooth dimensions should be considered in orthodontic treatment planning. Dental radiographs represent a sufficient validation tool to estimate the quality of a pure dental tipping during orthodontic treatment, as the orovestibular thickness has little influence. However, for three-dimensional tooth displacements all geometric parameters should be determined accurately using plaster casts or DVT.
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Affiliation(s)
- Martin Hartmann
- Endowed Chair of Oral Technology, School of Dentistry, University of Bonn, Welschnonnenstr. 17, 53111, Bonn, Germany
| | - Cornelius Dirk
- Endowed Chair of Oral Technology, School of Dentistry, University of Bonn, Welschnonnenstr. 17, 53111, Bonn, Germany
| | - Susanne Reimann
- Endowed Chair of Oral Technology, School of Dentistry, University of Bonn, Welschnonnenstr. 17, 53111, Bonn, Germany.,Department of Orthodontics, School of Dentistry, University of Bonn, Bonn, Germany
| | - Ludger Keilig
- Endowed Chair of Oral Technology, School of Dentistry, University of Bonn, Welschnonnenstr. 17, 53111, Bonn, Germany.,Department of Prosthetic Dentistry, Preclinical Education and Materials Science, School of Dentistry, University of Bonn, Bonn, Germany
| | - Anna Konermann
- Department of Orthodontics, School of Dentistry, University of Bonn, Bonn, Germany
| | - Andreas Jäger
- Department of Orthodontics, School of Dentistry, University of Bonn, Bonn, Germany
| | - Christoph Bourauel
- Endowed Chair of Oral Technology, School of Dentistry, University of Bonn, Welschnonnenstr. 17, 53111, Bonn, Germany.
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13
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Mesh management methods in finite element simulations of orthodontic tooth movement. Med Eng Phys 2016; 38:140-7. [DOI: 10.1016/j.medengphy.2015.11.005] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2015] [Revised: 09/10/2015] [Accepted: 11/08/2015] [Indexed: 11/18/2022]
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14
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Bosiakov SM, Koroleva AA, Rogosin SV, Silberschmidt VV. Viscoelasticity of periodontal ligament: an analytical model. ACTA ACUST UNITED AC 2015; 1:7. [PMID: 27512646 PMCID: PMC4959127 DOI: 10.1186/s40759-015-0007-0] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2015] [Accepted: 10/20/2015] [Indexed: 11/10/2022]
Abstract
BACKGROUND Understanding of viscoelastic behaviour of a periodontal membrane under physiological conditions is important for many orthodontic problems. A new analytic model of a nearly incompressible viscoelastic periodontal ligament is suggested, employing symmetrical paraboloids to describe its internal and external surfaces. METHODS In the model, a tooth root is assumed to be a rigid body, with perfect bonding between its external surface and an internal surface of the ligament. An assumption of almost incompressible material is used to formulate kinematic relationships for a periodontal ligament; a viscoelastic constitutive equation with a fractional exponential kernel is suggested for its description. RESULTS Translational and rotational equations of motion are derived for ligament's points and special cases of translational displacements of the tooth root are analysed. Material parameters of the fractional viscoelastic function are assessed on the basis of experimental data for response of the periodontal ligament to tooth translation. A character of distribution of hydrostatic stresses in the ligament caused by vertical and horizontal translations of the tooth root is defined. CONCLUSIONS The proposed model allows generalization of the known analytical models of the viscoelastic periodontal ligament by introduction of instantaneous and relaxed elastic moduli, as well as the fractional parameter. The latter makes it possible to take into account different behaviours of the periodontal tissue under short- and long-term loads. The obtained results can be used to determine loads required for orthodontic tooth movements corresponding to optimal stresses, as well as to simulate bone remodelling on the basis of changes in stresses and strains in the periodontal ligament caused by such movements.
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Affiliation(s)
- Sergei M Bosiakov
- Department of Mechanics and Mathematics, Belarusian State University, 4, Nezavisimosti Avenue, Minsk, 220030 Belarus
| | - Anna A Koroleva
- Department of Economics, Belarusian State University, 31, K. Marx, Minsk, 22030 Belarus
| | - Sergei V Rogosin
- Institute of Mathematics, Physics and Computer Science, Department of Mathematics, Aberystwyth University, Penglais, Aberystwyth Ceredigion, SY23 3BZ UK
| | - Vadim V Silberschmidt
- Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Leicestershire, LE11 3TU UK
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15
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Huang H, Tang W, Yan B, Wu B, Cao D. Mechanical responses of the periodontal ligament based on an exponential hyperelastic model: a combined experimental and finite element method. Comput Methods Biomech Biomed Engin 2015; 19:188-98. [DOI: 10.1080/10255842.2015.1006207] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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16
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Chang CH, Lei YN, Ho YH, Sung YH, Lin TS. Predicting the holistic force-displacement relation of the periodontal ligament: in-vitro experiments and finite element analysis. Biomed Eng Online 2014; 13:107. [PMID: 25077405 PMCID: PMC4122535 DOI: 10.1186/1475-925x-13-107] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2014] [Accepted: 07/16/2014] [Indexed: 11/10/2022] Open
Abstract
BACKGROUND The biomechanical property of the periodontal ligament (PDL) is important in orthodontics and prosthodontics. The objective of this study was to evaluate the feasibility of measuring the biomechanical behavior of the periodontal ligament using micro-computed tomography (micro-CT). METHODS A custom-made apparatus measured the force and displacement of a porcine PDL specimen within the micro-CT environment. Synchronized computed tomography (CT) images were used to obtain the deformation and displacement of the entire specimen and to reconstruct the three-dimensional mesh model. To match the experimental results, finite element analysis was then applied to simulate the biomechanical response of the PDL. The mechanical model of the PDL was assumed as the hyperelastic material in this study. RESULTS The volume variations of the tooth and the alveolar bone were less than 1%, which implies that tooth displacement was caused mostly by displacement of the PDL. Only translational displacement was observed with each load step because the transformation matrix acquired from the CT image registration was identical. The force-displacement curve revealed the nonlinear behavior of the PDL. There was a high correlation between the experimental displacement results and the simulation displacement results. The numerical results (based on the assumption that the PDL is the hyperelastic material) showed good agreement with the experimental results. CONCLUSIONS Nondestructive measurements by micro-CT obtained the biomechanical behavior of the PDL. Using the hyperelastic characteristic as the constitutive model can properly predict the force-displacement relation of the PDL after loading. This study provided a feasible approach for measuring the biomechanical behavior of the PDL for further dental application.
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Affiliation(s)
| | | | | | | | - Ting-Sheng Lin
- Department of Biomedical Engineering, I-Shou University, Kaohsiung 824, Taiwan.
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17
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CARNIEL EMANUELELUIGI, GRAMIGNA VERA, FONTANELLA CHIARAGIULIA, STEFANINI CESARE, NATALI ARTURONICOLA. ANALYSIS OF THE PASSIVE MECHANICAL BEHAVIOR OF TAENIAE COLI: EXPERIMENTAL AND NUMERICAL APPROACH. J MECH MED BIOL 2014. [DOI: 10.1142/s0219519414500122] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023]
Abstract
The constitutive analysis of gastrointestinal tissues represents a fundamental aspect for the biomechanical investigation of gastrointestinal structures and organs through the use of computational methods. This approach makes it possible to obtain an accurate and extensive set of results, also offering the possibility to evaluate the interaction with surgical devices. The constitutive analysis of taeniae coli tissue is performed by a multi-disciplinary approach that requires the cooperation between medical, experimental and computational competences, as common practice in biological tissues mechanics. The analysis of taeniae coli histology suggests the assumption of a transversally isotropic scheme, because of the orientation of muscular fibers along a preferential direction. Mechanical tests are designed and planned in consideration of the mentioned structural conformation, considering tensile tests imposed according to different loading directions. The results from histological and experimental investigations lead to the definition of a constitutive model in the framework of fiber-reinforced hyperelastic materials. The constitutive parameters are evaluated by the comparative analysis between experimental and numerical results by means of a minimisation of their discrepancy. The reliability of the constitutive formulation and parameters is assessed by the analysis of additional experimental data and the evaluation of satisfaction of thermo-mechanics requirements about material stability.
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Affiliation(s)
- EMANUELE LUIGI CARNIEL
- Department of Industrial Engineering, Centre of Mechanics of Biological Materials, University of Padova, Via F. Marzolo 9, Padova, I-35131, Italy
| | - VERA GRAMIGNA
- The BioRobotics Institute, Scuola Superiore Sant'Anna, Viale Rinaldo Piaggio 34, Pontedera (Pisa), I-56025, Italy
| | - CHIARA GIULIA FONTANELLA
- Department of Industrial Engineering, Centre of Mechanics of Biological Materials, University of Padova, Via F. Marzolo 9, Padova, I-35131, Italy
| | - CESARE STEFANINI
- The BioRobotics Institute, Scuola Superiore Sant'Anna, Viale Rinaldo Piaggio 34, Pontedera (Pisa), I-56025, Italy
| | - ARTURO NICOLA NATALI
- Department of Industrial Engineering, Centre of Mechanics of Biological Materials, University of Padova, Via F. Marzolo 9, Padova, I-35131, Italy
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18
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Wei Z, Yu X, Xu X, Chen X. Experiment and hydro-mechanical coupling simulation study on the human periodontal ligament. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2014; 113:749-756. [PMID: 24440132 DOI: 10.1016/j.cmpb.2013.12.011] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2013] [Revised: 11/26/2013] [Accepted: 12/18/2013] [Indexed: 06/03/2023]
Abstract
In this paper, a new method involving an experiment in vivo and hydro-mechanical coupling simulations was proposed to investigate the biomechanical property of human periodontal ligament (PDL). Teeth were loaded and their displacements were measured in vivo. The finite element model of the experiment was built and hydro-mechanical coupling simulations were conducted to test some PDL's constitutive models. In the simulations, the linear elastic model, the hyperfoam model, and the Ogden model were assumed for the solid phase of the PDL coupled with a model of the fluid phase of the PDL. The displacements of the teeth derived from the simulations were compared with the experimental data to validate these constitutive models. The study shows that a proposed constitutive model of the PDL can be reliably tested by this method. Furthermore, the influence of species, areas, and the fluid volume ratio on PDL's mechanical property should be considered in the modeling and simulation of the mechanical property of the PDL.
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Affiliation(s)
- Zhigang Wei
- School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, China.
| | - Xiaoliu Yu
- School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, China.
| | - Xiangrong Xu
- School of Mechanical Engineering, Anhui University of Technology, Maanshan 243032, China.
| | - Xinyuan Chen
- Department of Stomatology, Maanshan Municipal People's Hospital, Maanshan 243002, China.
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19
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Carniel EL, Gramigna V, Fontanella CG, Frigo A, Stefanini C, Rubini A, Natali AN. Characterization of the anisotropic mechanical behaviour of colonic tissues: experimental activity and constitutive formulation. Exp Physiol 2014; 99:759-71. [PMID: 24486449 DOI: 10.1113/expphysiol.2013.076091] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
The aim was to investigate the biomechanical behaviour of colonic tissues by a coupled experimental and numerical approach. The wall of the colon is composed of different tissue layers. Within each layer, different fibre families are distributed according to specific spatial orientations, which lead to a strongly anisotropic configuration. Accounting for the complex histology of the tissues, mechanical tests must be planned and designed to evaluate the behaviour of the colonic wall in different directions. Uni-axial tensile tests were performed on tissue specimens from 15 fresh pig colons, accounting for six different loading directions (five specimens for each loading direction). The next step of the investigation was to define an appropriate constitutive framework and develop a procedure for identification of the constitutive parameters. A specific hyperelastic formulation was developed that accounted for the multilayered conformation of the colonic wall and the fibre-reinforced configuration of the tissues. The parameters were identified by inverse analyses of the mechanical tests. The comparison of model results with experimental data, together with the evaluation of satisfaction of material thermomechanics principles, confirmed the reliability of the analysis developed. This work forms the basis for more comprehensive activities that aim to provide computational tools for the interpretation of surgical procedures that involve the gastrointestinal tract, considering the specific biomedical devices adopted.
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Affiliation(s)
- E L Carniel
- Department of Industrial Engineering Centre of Mechanics of Biological Materials
| | - V Gramigna
- The BioRobotics Institute, Scuola Superiore Sant'Anna, Pisa, Italy
| | | | - A Frigo
- Department of Industrial Engineering Centre of Mechanics of Biological Materials
| | - C Stefanini
- The BioRobotics Institute, Scuola Superiore Sant'Anna, Pisa, Italy
| | - A Rubini
- Centre of Mechanics of Biological Materials Department of Biomedical Sciences, University of Padova, Padova, Italy
| | - A N Natali
- Department of Industrial Engineering Centre of Mechanics of Biological Materials
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20
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Favino M, Gross C, Drolshagen M, Keilig L, Deschner J, Bourauel C, Krause R. Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL. Comput Methods Biomech Biomed Engin 2013; 16:544-53. [DOI: 10.1080/10255842.2011.628660] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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21
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Papadopoulou K, Hasan I, Keilig L, Reimann S, Eliades T, Jager A, Deschner J, Bourauel C. Biomechanical time dependency of the periodontal ligament: a combined experimental and numerical approach. Eur J Orthod 2013; 35:811-8. [DOI: 10.1093/ejo/cjs103] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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22
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Möllers K, Parkot D, Kirsten A, Güth JF, Edelhoff D, Fischer H. Influence of tooth mobility on critical stresses in all-ceramic inlay-retained fixed dental prostheses: A finite element study. Dent Mater 2012; 28:146-51. [DOI: 10.1016/j.dental.2011.10.013] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2010] [Revised: 06/28/2011] [Accepted: 10/31/2011] [Indexed: 10/15/2022]
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23
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Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature. J Biomech 2012; 45:9-16. [DOI: 10.1016/j.jbiomech.2011.09.020] [Citation(s) in RCA: 78] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/07/2011] [Revised: 09/15/2011] [Accepted: 09/20/2011] [Indexed: 11/21/2022]
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24
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Tooth movements are guided by specific contact areas between the tooth root and the jaw bone: A dynamic 3D microCT study of the rat molar. J Struct Biol 2011; 177:477-83. [PMID: 22138090 DOI: 10.1016/j.jsb.2011.11.019] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2011] [Revised: 11/13/2011] [Accepted: 11/14/2011] [Indexed: 11/22/2022]
Abstract
Teeth sustain high loads over a lifetime and yet intact tooth failure is rare. The different structures of the tooth, jaw bone and the intervening soft periodontal ligament enable the tooth to endure repeated loading during mastication. Although mechanical and functional properties of the different components are thoroughly investigated, the manner in which the whole tooth functions under load is still enigmatic. A custom-made loading system inside a microCT scanner was used to directly visualize the root movements in relation to the jaw bone as the rat molar tooth was loaded. At low loads no contact was observed between the root surface and the bone, whereas at higher loads three specific contact areas between the root surface and the jaw bone were observed. These contact areas restrict tooth movement in the buccal-lingual direction, but enable the tooth to rock in a "seesaw" like manner in the distal-mesial direction. The contact areas appear to play a role in determining tooth motion and in turn define the manner in which the whole tooth moves when loaded. These observations are important for understanding basic structure-function relations of the tooth-PDL-bone system, and have direct implications for better understanding pathological and therapeutic processes in orthodontics, periodontics and jaw bone regeneration.
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25
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Papadopoulou K, Keilig L, Eliades T, Krause R, Jager A, Bourauel C. The time-dependent biomechanical behaviour of the periodontal ligament--an in vitro experimental study in minipig mandibular two-rooted premolars. Eur J Orthod 2011; 36:9-15. [DOI: 10.1093/ejo/cjr134] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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26
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Chatzigianni A, Keilig L, Duschner H, Gotz H, Eliades T, Bourauel C. Comparative analysis of numerical and experimental data of orthodontic mini-implants. Eur J Orthod 2011; 33:468-75. [DOI: 10.1093/ejo/cjr097] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
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27
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Natali AN, Fontanella CG, Carniel EL, Young JM. Biomechanical behaviour of heel pad tissue experimental testing, constitutive formulation, and numerical modelling. Proc Inst Mech Eng H 2011; 225:449-59. [DOI: 10.1177/09544119jeim851] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
This paper deals with the constitutive formulation of heel pad tissue and presents a procedure for identifying constitutive parameters using experimental data, with the aim of developing a computational approach for investigating the actual biomechanical response. The preliminary definition of constitutive parameters was developed using a visco-hyperelastic formulation, considering experimental data from in vitro compression tests on specimens of fat pad tissue and data from in vivo tests to identify the actual trend of tissue stiffness. The discrepancy between model results and experimental data was evaluated on the basis of a specific cost function, adopting a stochastic/deterministic procedure. The parameter evaluation was upgraded by considering experimental tests performed on the fat pad tissues of a cadaveric foot using in situ indentation tests at 0.01 and 350 mm/s strain rates. The constitutive formulation was implemented in a numerical model. The comparison of data from in situ tests and numerical results led to an optimal domain of parameters based on an admissible discrepancy criterion. Numerical results evaluated for different sets of parameters inside the domain are reported and compared with experimental data for a reliability evaluation of the proposed procedure.
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Affiliation(s)
- A N Natali
- Centre of Mechanics of Biological Materials, University of Padova, Padova, Italy
| | - C G Fontanella
- Centre of Mechanics of Biological Materials, University of Padova, Padova, Italy
| | - E L Carniel
- Centre of Mechanics of Biological Materials, University of Padova, Padova, Italy
| | - J Miller Young
- Faculty of Science and Technology, Mount Royal University, Alta, Canada
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28
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Hannam AG. Current computational modelling trends in craniomandibular biomechanics and their clinical implications. J Oral Rehabil 2010; 38:217-34. [PMID: 20819138 DOI: 10.1111/j.1365-2842.2010.02149.x] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
Computational models of interactions in the craniomandibular apparatus are used with increasing frequency to study biomechanics in normal and abnormal masticatory systems. Methods and assumptions in these models can be difficult to assess by those unfamiliar with current practices in this field; health professionals are often faced with evaluating the appropriateness, validity and significance of models which are perhaps more familiar to the engineering community. This selective review offers a foundation for assessing the strength and implications of a craniomandibular modelling study. It explores different models used in general science and engineering and focuses on current best practices in biomechanics. The problem of validation is considered at some length, because this is not always fully realisable in living subjects. Rigid-body, finite element and combined approaches are discussed, with examples of their application to basic and clinically relevant problems. Some advanced software platforms currently available for modelling craniomandibular systems are mentioned. Recent studies of the face, masticatory muscles, tongue, craniomandibular skeleton, temporomandibular joint, dentition and dental implants are reviewed, and the significance of non-linear and non-isotropic material properties is emphasised. The unique challenges in clinical application are discussed, and the review concludes by posing some questions which one might reasonably expect to find answered in plausible modelling studies of the masticatory apparatus.
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Affiliation(s)
- A G Hannam
- Faculty of Dentistry, Department of Oral Health Sciences, The University of British Columbia, Vancouver, BC, Canada.
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29
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Natali A, Fontanella C, Carniel E. Constitutive formulation and analysis of heel pad tissues mechanics. Med Eng Phys 2010; 32:516-22. [DOI: 10.1016/j.medengphy.2010.02.018] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2009] [Revised: 02/11/2010] [Accepted: 02/18/2010] [Indexed: 10/19/2022]
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30
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Wu B, Tang W, Yan B. Study on Stress Distribution in Periodontal Ligament of Impacted Tooth Based on Hyperelastic Model. 2009 INTERNATIONAL CONFERENCE ON INFORMATION ENGINEERING AND COMPUTER SCIENCE 2009. [DOI: 10.1109/iciecs.2009.5366786] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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31
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Qian L, Todo M, Morita Y, Matsushita Y, Koyano K. Deformation analysis of the periodontium considering the viscoelasticity of the periodontal ligament. Dent Mater 2009; 25:1285-92. [DOI: 10.1016/j.dental.2009.03.014] [Citation(s) in RCA: 80] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2008] [Revised: 12/17/2008] [Accepted: 03/17/2009] [Indexed: 10/20/2022]
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32
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Biomechanical behaviour of oesophageal tissues: material and structural configuration, experimental data and constitutive analysis. Med Eng Phys 2009; 31:1056-62. [PMID: 19651531 DOI: 10.1016/j.medengphy.2009.07.003] [Citation(s) in RCA: 67] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/16/2008] [Revised: 07/01/2009] [Accepted: 07/03/2009] [Indexed: 11/22/2022]
Abstract
The aim of the present work is to propose an approach to the biomechanical analysis of oesophagus by defining an appropriate constitutive model and the associated constitutive parameters. The configuration of the different tissues and layers that compose the oesophagus shows very complicated internal anatomy, geometry and mechanical properties. The coupling of these tissues adds to the complexity. The constitutive models must be capable of interpreting the highly non-linear mechanical response. This is done adopting a specific hyperelastic anisotropic formulation. Experimental data are essential for the investigation of the tissues' biomechanical behaviour and also represent the basis for the definition of constitutive parameters to be adopted within the constitutive formulation developed. This action is provided by using a specific stochastic optimization procedure, addressed to the minimization of a cost function that interprets the discrepancy between experimental data and results from the analytical models developed. Unfortunately, experimental data at disposal do not satisfy all requested information and a particular solution must be provided with regard to definition of the lateral contraction of soft tissues. The anisotropic properties of the tissues are investigated considering the configuration of embedded fibres, according to their mechanical characteristics, quantity and distribution. Collagen and muscular fibres must be considered. The formulation provided on the basis of axiomatic theory of constitutive relationships and the procedure for constitutive parameters identification are described. The evaluation of constitutive parameters requires the analysis of data from experimental tests, that are extracted from the literature. Result validation is performed by comparing the experimental data and model results. In this way a valid basis is provided for the investigation of biomechanical behaviour of oesophagus, looking at deeper information from the experimental point of view that should offer data to be implemented in the procedure for a more detailed and accurate problem definition.
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33
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Natali A, Pavan P, Carniel E, Dario P, Izzo I. Characterization of soft tissue mechanics with aging. ACTA ACUST UNITED AC 2008. [DOI: 10.1109/memb.2008.919492] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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