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Fischenich KM, Schneider SE, Neu CP, Payne KA, Ferguson VL. Material properties and strain distribution patterns of bovine growth plate cartilage vary with anatomic location and depth. J Biomech 2022; 134:111013. [PMID: 35245713 PMCID: PMC9651143 DOI: 10.1016/j.jbiomech.2022.111013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/28/2021] [Revised: 02/14/2022] [Accepted: 02/15/2022] [Indexed: 11/29/2022]
Abstract
The aim of this study was to assess the bulk material properties and depth-dependent strain distribution of bovine growth plate cartilage. We hypothesized that both moduli and strain distribution are highly depth-, orientation-, and location-dependent. Bovine proximal tibiae (1-month-old) were sliced along the sagittal and coronal planes to create ∼ 4 mm2 samples. Digital image correlation (DIC) was combined with stress relaxation tests for evaluation of bulk modulus (tangent and equilibrium) and depth-dependent strain distribution. A subset of samples was imaged after Col-F staining as well as histological staining (Safranin-O/Fast Green) to evaluate zonal organization and matrix composition. The mean tangent modulus was 4.25 ± 2.46 MPa while the equilibrium modulus was 0.86 ± 0.46 MPa. No significant differences in moduli were found with respect to orientation (sagittal vs coronal face), but sagittal location within the joint was a significant predictor for tangent modulus. Overall moduli values decreased from the periphery to the midline of the joint. Depth-dependent cellular organization, determined by cell density and shape, was highly variable. This heterogeneity may be a biological toughening mechanism. Peak normalized strains were observed most often in the hypertrophic zone. Modulus was significantly lower in the hypertrophic zone as compared to the resting and proliferative zones. This study is the first to evaluate moduli and strain distribution in intact growth plates as a function of depth, orientation, and anatomic location. Future work with growth plate tissue engineering should consider the location- and depth-dependent nature of the native tissue mechanical properties when designing mimetic constructs.
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Affiliation(s)
- Kristine M Fischenich
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA.
| | - Stephanie E Schneider
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA
| | - Corey P Neu
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; BioFrontiers Institute, University of Colorado, Boulder, CO, USA; Biomedical Engineering Program, University of Colorado, Boulder, CO, USA
| | - Karin A Payne
- Department of Orthopedics, University of Colorado Anschutz Medical Campus, Aurora, CO, USA
| | - Virginia L Ferguson
- Paul M. Rady Department of Mechanical Engineering, University of Colorado, Boulder, CO, USA; BioFrontiers Institute, University of Colorado, Boulder, CO, USA; Biomedical Engineering Program, University of Colorado, Boulder, CO, USA
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Eckstein KN, Thomas SM, Scott AK, Neu CP, Payne KA, Ferguson VL. The heterogeneous mechanical properties of adolescent growth plate cartilage: A study in rabbit. J Mech Behav Biomed Mater 2022; 128:105102. [PMID: 35203020 PMCID: PMC9047008 DOI: 10.1016/j.jmbbm.2022.105102] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2021] [Revised: 01/08/2022] [Accepted: 01/21/2022] [Indexed: 01/01/2023]
Abstract
The growth plate is a cartilaginous tissue that functions to lengthen bones in children. When fractured, however, the growth plate can lose this critical function. Our understanding of growth plate fracture and mechanobiology is currently hindered by sparse information on the growth plate's microscale spatial gradients in mechanical properties. In this study, we performed microindentation across the proximal tibia growth plate of 9-week-old New Zealand White rabbits (n = 15) to characterize spatial variations in mechanical properties using linear elastic and nonlinear poroelastic material models. Mean indentation results for Hertz reduced modulus ranged from 380 to 690 kPa, with a peak in the upper hypertrophic zone and significant differences (p < 0.05) between neighboring zones. Using a subset of these animals (n = 7), we characterized zonal structure and extracellular matrix content of the growth plate through confocal fluorescent microscopy and Raman spectroscopy mapping. Comparison between mechanical properties and matrix content across the growth plate showed that proteoglycan content correlated with compressive modulus. This study is the first to measure poroelastic mechanical properties from microindentation across growth plate cartilage and to discern differing mechanical properties between the upper and lower hypertrophic zones. This latter finding may explain the location of typical growth plate fractures. The spatial variation in our reported mechanical properties emphasize the heterogeneous structure of the growth plate which is important to inform future regenerative implant design and mechanobiological models.
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D'Andrea CR, Alfraihat A, Singh A, Anari JB, Cahill PJ, Schaer T, Snyder BD, Elliott D, Balasubramanian S. Part 1. Review and meta-analysis of studies on modulation of longitudinal bone growth and growth plate activity: A macro-scale perspective. J Orthop Res 2021; 39:907-918. [PMID: 33377536 DOI: 10.1002/jor.24976] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/26/2020] [Revised: 12/20/2020] [Accepted: 12/24/2020] [Indexed: 02/04/2023]
Abstract
Growth modulation is an emerging method for treatment of angular skeletal deformities such as adolescent idiopathic scoliosis (AIS). The Hueter-Volkmann law, by which growth is stimulated in tension and inhibited in compression, is widely understood, and applied in current growth-modulating interventions such as anterior vertebral body tethering (AVBT) for AIS. However, without quantification of the growth rate effects of tension or compression, the possibility of under- or over- correction exists. A definitive mechanical growth modulation relationship relating to treatment of such skeletal deformities is yet to exist, and the mechanisms by which growth rate is regulated and altered are not fully defined. Review of current literature demonstrates that longitudinal (i.e., lengthwise) growth rate in multiple animal models depend on load magnitude, anatomical location, and species. Additionally, alterations in growth plate morphology and viability vary by loading parameters such as magnitude, frequency, and whether the load was applied persistently or intermittently. The aggregate findings of the reviewed studies will assist in work towards increasingly precise and clinically successful growth modulation methods. Part 1 of this review focuses on the effects of mechanical loading, species, age, and anatomical location on the macro-scale alterations in longitudinal bone growth, as well as factors that affect growth plate material properties. Part 2 considers the effects on micro-scale alterations in growth plate morphology such as zone heights and proportions, chondrocyte viability, and related gene and protein expression.
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Affiliation(s)
- Christian R D'Andrea
- School of Biomedical Engineering, Science, and Health Systems, Drexel University, Philadelphia, Pennsylvania, USA
| | - Ausilah Alfraihat
- School of Biomedical Engineering, Science, and Health Systems, Drexel University, Philadelphia, Pennsylvania, USA
| | - Anita Singh
- Department of Biomedical Engineering, Widener University, Chester, Pennsylvania, USA
| | - Jason B Anari
- Division of Orthopaedics, The Children's Hospital of Philadelphia, Philadelphia, Pennsylvania, USA
| | - Patrick J Cahill
- Division of Orthopaedics, The Children's Hospital of Philadelphia, Philadelphia, Pennsylvania, USA
| | - Thomas Schaer
- Department of Clinical Studies New Bolton Center, School of Veterinary Medicine, University of Pennsylvania, Kennett Square, Pennsylvania, USA
| | - Brian D Snyder
- Center for Advanced Orthopaedic Studies, Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, Massachusetts, USA
| | - Dawn Elliott
- Department of Biomedical Engineering, University of Delaware, Newark, Delaware, USA
| | - Sriram Balasubramanian
- School of Biomedical Engineering, Science, and Health Systems, Drexel University, Philadelphia, Pennsylvania, USA
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Kazemi M, Williams JL. Depth and strain rate-dependent mechanical response of chondrocytes in reserve zone cartilage subjected to compressive loading. Biomech Model Mechanobiol 2021; 20:1477-1493. [PMID: 33844092 DOI: 10.1007/s10237-021-01457-1] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2020] [Accepted: 03/31/2021] [Indexed: 11/24/2022]
Abstract
The role of the growth plate reserve zone is not well understood. It has been proposed to serve as a source of stem cells and to produce morphogens that control the alignment of clones in preparation for the transition into the proliferative zone. We hypothesized that if such a role exists, there are likely to be mechanoregulatory stimuli in cellular response through the depth of the reserve zone. A poroelastic multiscale finite element model of bone/growth-plate/bone was developed for examining the reserve zone cell transient response when compressed to 5% of the cartilage thickness at strain rates of 0.18%/s, 5%/s, 50%/s, and 200%/s. Chondrocyte maximum principal strains, height-, width-, and membrane-strains were found to be highly dependent on reserve zone tissue depth and strain rate. Cell-level strains and fluid transmembrane outflow from the cell were influenced by the permeability of the calcified cartilage between subchondral bone plate and reserve zone and by the applied strain rate. Cell strain levels in the lower reserve zone were less sensitive to epiphyseal permeability than in the upper reserve zone. In contrast, the intracellular fluid pressures were relatively uniform with reserve zone tissue depth and less sensitive to epiphyseal permeability. Fluid shear stress, induced by fluid flow over the cell surface, provided mechanoregulatory signals potentially sufficient to stimulate reserve zone chondrocytes near the subchondral bone plate interface. These results suggest that the strain rate and tissue depth dependence of cell-level strains and cell surface fluid shear stress may provide mechanoregulatory cues in the reserve zone.
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Affiliation(s)
- Masumeh Kazemi
- Department of Biomedical Engineering, University of Memphis, 330 Engineering Technology Building, Memphis, TN, 38152, USA.
| | - John L Williams
- Department of Biomedical Engineering, University of Memphis, 330 Engineering Technology Building, Memphis, TN, 38152, USA
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Shaw N, Erickson C, Bryant SJ, Ferguson VL, Krebs MD, Hadley-Miller N, Payne KA. Regenerative Medicine Approaches for the Treatment of Pediatric Physeal Injuries. TISSUE ENGINEERING PART B-REVIEWS 2017; 24:85-97. [PMID: 28830302 DOI: 10.1089/ten.teb.2017.0274] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
The physis, or growth plate, is a cartilaginous region at the end of children's long bones that serves as the primary center for longitudinal growth and characterizes the immature skeleton. Musculoskeletal injury, including fracture, infection, malignancy, or iatrogenic damage, has risk of physeal damage. Physeal injuries account for 30% of pediatric fractures and may result in impaired bone growth. Once damaged, cartilage tissue within the physis is often replaced by unwanted bony tissue, forming a "bony bar" that can lead to complications such as complete growth arrest, angular or rotational deformities, and altered joint mechanics. Children with a bony bar occupying <50% of the physis usually undergo bony bar resection and insertion of an interpositional material, such as a fat graft, to prevent recurrence and allow the surrounding uninjured physeal tissue to restore longitudinal bone growth. Clinical success for this procedure is <35% and often the bony bar and associated growth impairments return. Children who are not candidates for bony bar resection due to a physeal bar occupying >50% of their physis undergo corrective osteotomy or bone lengthening procedures. These approaches are complex and have variable success rates. As such, there is a critical need for regenerative approaches to not only prevent initial bony bar formation but also regenerate healthy physeal cartilage following injury. This review describes physeal anatomy, mechanisms of physeal injury, and current treatment options with associated limitations. Furthermore, we provide an overview of the current research using cell-based therapies, growth factors, and biomaterials in the different animal models of injury along with strategic directions for modulating intrinsic injury pathways to inhibit bony bar formation and/or promote physeal tissue formation. Pediatric physeal injuries constitute a unique niche within regenerative medicine for which there is a critical need for research to decrease child morbidity related to this injurious process.
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Affiliation(s)
- Nichole Shaw
- 1 Department of Orthopedics, University of Colorado Anschutz Medical Campus , Aurora, Colorado
| | - Christopher Erickson
- 1 Department of Orthopedics, University of Colorado Anschutz Medical Campus , Aurora, Colorado.,2 Department of Bioengineering, University of Colorado Anschutz Medical Campus , Aurora, Colorado
| | - Stephanie J Bryant
- 3 Department of Chemical and Biological Engineering, University of Colorado Boulder , Boulder, Colorado.,4 BioFrontiers Institute, University of Colorado Boulder , Boulder, Colorado.,5 Material Science and Engineering Program, University of Colorado Boulder , Boulder, Colorado
| | - Virginia L Ferguson
- 4 BioFrontiers Institute, University of Colorado Boulder , Boulder, Colorado.,5 Material Science and Engineering Program, University of Colorado Boulder , Boulder, Colorado.,6 Department of Mechanical Engineering, University of Colorado Boulder , Boulder, Colorado
| | - Melissa D Krebs
- 7 Department of Chemical and Biological Engineering, Colorado School of Mines , Golden, Colorado.,8 Gates Center for Regenerative Medicine, University of Colorado Anschutz Medical Campus , Aurora, Colorado
| | - Nancy Hadley-Miller
- 1 Department of Orthopedics, University of Colorado Anschutz Medical Campus , Aurora, Colorado
| | - Karin A Payne
- 1 Department of Orthopedics, University of Colorado Anschutz Medical Campus , Aurora, Colorado.,8 Gates Center for Regenerative Medicine, University of Colorado Anschutz Medical Campus , Aurora, Colorado
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6
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Multiscale modeling of growth plate cartilage mechanobiology. Biomech Model Mechanobiol 2016; 16:667-679. [DOI: 10.1007/s10237-016-0844-8] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2016] [Accepted: 10/12/2016] [Indexed: 10/20/2022]
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Martel G, Couture CA, Gilbert G, Bancelin S, Richard H, Moser T, Kiss S, Légaré F, Laverty S. Femoral epiphyseal cartilage matrix changes at predilection sites of equine osteochondrosis: Quantitative MRI, second-harmonic microscopy, and histological findings. J Orthop Res 2016; 34:1743-1752. [PMID: 27734566 DOI: 10.1002/jor.23176] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/04/2015] [Accepted: 01/21/2016] [Indexed: 02/04/2023]
Abstract
Osteochondrosis is an ischemic chondronecrosis of epiphyseal growth cartilage that results in focal failure of endochondral ossification and osteochondritis dissecans at specific sites in the epiphyses of humans and animals, including horses. The upstream events leading to the focal ischemia remain unknown. The epiphyseal growth cartilage matrix is composed of proteoglycan and collagen macromolecules and encases its vascular tree in canals. The matrix undergoes major dynamic changes in early life that could weaken it biomechanically and predispose it to focal trauma and vascular failure. Subregions in neonatal foal femoral epiphyses (n = 10 osteochondrosis predisposed; n = 6 control) were assessed for proteoglycan and collagen structure/content employing 3T quantitative MRI (3T qMRI: T1ρ and T2 maps). Site-matched validations were made with histology, immunohistochemistry, and second-harmonic microscopy. Growth cartilage T1ρ and T2 relaxation times were significantly increased (p < 0.002) within the proximal third of the trochlea, a site predisposed to osteochondrosis, when compared with other regions. However, this was observed in both control and osteochondrosis predisposed specimens. Microscopic evaluation of this region revealed an expansive area with low proteoglycan content and a hypertrophic-like appearance on second-harmonic microscopy. We speculate that this matrix structure and composition, though physiological, may weaken the epiphyseal growth cartilage biomechanically in focal regions and could enhance the risk of vascular failure with trauma leading to osteochondrosis. However, additional investigations are now required to confirm this. 3T qMRI will be useful for future non-invasive longitudinal studies to track the osteochondrosis disease trajectory in animals and humans. © 2016 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 34:1743-1752, 2016.
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Affiliation(s)
- Gabrielle Martel
- Comparative Orthopaedic Research Laboratory, Faculté de médecine vétérinaire, Université de Montréal, Québec, Canada
| | | | | | | | - Hélène Richard
- Comparative Orthopaedic Research Laboratory, Faculté de médecine vétérinaire, Université de Montréal, Québec, Canada
| | - Thomas Moser
- Department of Radiology, Centre Hospitalier de l'Université de Montréal, Hôpital Notre-Dame, Montréal, Québec, Canada
| | - Sabrina Kiss
- Department of Radiology, Centre Hospitalier de l'Université de Montréal, Hôpital Notre-Dame, Montréal, Québec, Canada
| | | | - Sheila Laverty
- Comparative Orthopaedic Research Laboratory, Faculté de médecine vétérinaire, Université de Montréal, Québec, Canada.
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Prein C, Warmbold N, Farkas Z, Schieker M, Aszodi A, Clausen-Schaumann H. Structural and mechanical properties of the proliferative zone of the developing murine growth plate cartilage assessed by atomic force microscopy. Matrix Biol 2016; 50:1-15. [DOI: 10.1016/j.matbio.2015.10.001] [Citation(s) in RCA: 73] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2015] [Revised: 09/25/2015] [Accepted: 10/06/2015] [Indexed: 12/13/2022]
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Growth plate cartilage shows different strain patterns in response to static versus dynamic mechanical modulation. Biomech Model Mechanobiol 2015; 15:933-46. [DOI: 10.1007/s10237-015-0733-6] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2015] [Accepted: 09/29/2015] [Indexed: 10/22/2022]
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Gao J, Roan E, Williams JL. Regional variations in growth plate chondrocyte deformation as predicted by three-dimensional multi-scale simulations. PLoS One 2015; 10:e0124862. [PMID: 25885547 PMCID: PMC4401775 DOI: 10.1371/journal.pone.0124862] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2014] [Accepted: 03/10/2015] [Indexed: 11/17/2022] Open
Abstract
The physis, or growth plate, is a complex disc-shaped cartilage structure that is responsible for longitudinal bone growth. In this study, a multi-scale computational approach was undertaken to better understand how physiological loads are experienced by chondrocytes embedded inside chondrons when subjected to moderate strain under instantaneous compressive loading of the growth plate. Models of representative samples of compressed bone/growth-plate/bone from a 0.67 mm thick 4-month old bovine proximal tibial physis were subjected to a prescribed displacement equal to 20% of the growth plate thickness. At the macroscale level, the applied compressive deformation resulted in an overall compressive strain across the proliferative-hypertrophic zone of 17%. The microscale model predicted that chondrocytes sustained compressive height strains of 12% and 6% in the proliferative and hypertrophic zones, respectively, in the interior regions of the plate. This pattern was reversed within the outer 300 μm region at the free surface where cells were compressed by 10% in the proliferative and 26% in the hypertrophic zones, in agreement with experimental observations. This work provides a new approach to study growth plate behavior under compression and illustrates the need for combining computational and experimental methods to better understand the chondrocyte mechanics in the growth plate cartilage. While the current model is relevant to fast dynamic events, such as heel strike in walking, we believe this approach provides new insight into the mechanical factors that regulate bone growth at the cell level and provides a basis for developing models to help interpret experimental results at varying time scales.
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Affiliation(s)
- Jie Gao
- Departments of Mechanical Engineering, University of Memphis Memphis, Tennessee, 38152, United States of America
| | - Esra Roan
- Department of Biomedical Engineering, University of Memphis Memphis, Tennessee, 38152, United States of America
| | - John L Williams
- Department of Biomedical Engineering, University of Memphis Memphis, Tennessee, 38152, United States of America
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Biomechanical simulation and analysis of scoliosis correction using a fusionless intravertebral epiphyseal device. Spine (Phila Pa 1976) 2015; 40:369-76. [PMID: 25584943 DOI: 10.1097/brs.0000000000000777] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
STUDY DESIGN Computer simulations to analyze the biomechanics of a novel compression-based fusionless device (hemistaple) that does not cross the disc for the treatment of adolescent idiopathic scoliosis. OBJECTIVE To biomechanically model, simulate, and analyze the hemistaple action using a human finite element model (FEM). SUMMARY OF BACKGROUND DATA A new fusionless growth sparing instrumentation device (hemistaple), which locally compresses the growth plate without spanning the disc, was previously developed and successively tested on different animal models. METHODS Patient-specific FEMs of the spine, rib cage, and pelvis were built using radiographs of 10 scoliotic adolescents (11.7 ± 0.9 yr; Cobb thoracic: 35° ± 7°, lumbar: 24° ± 6°). A validated algorithm allowed simulating the growth (0.8-1.1 mm/yr/vertebra) and growth modulation process (Hueter-Volkmann principle) during a period of 2 years. Four instrumentation configurations on the convex curves were individually simulated (Config 1: 5 thoracic vertebrae with hemistaples on superior endplates; Config 2: same as Config 1 with hemistaples on both endplates; Config 3: same as Config 1 + 4 lumbar vertebrae; Config 4: same as Config 2 + 4 lumbar vertebrae). RESULTS Without hemistaples, on average the thoracic and lumbar Cobb angles, respectively, progressed from 35° to 56° and 24° to 30°, whereas the vertebral wedging at curve apices progressed from 5° to 12°. With the hemistaple Config 1, the Cobb angles progressed but were limited to 42° and 26°, whereas the wedging ended at 8°. With Config 3, Cobb and wedging were kept nearly constant (38°, 21°, 7°). With hemistaples on both endplates (Config 2, Config 4), the Cobb and wedging were all reduced (thoracic Cobb for Config 2 and 4: 24° and 15°; lumbar Cobb: 21° and 11°; wedging: 2° and 1°). CONCLUSION This study suggests that the hemistaple has the biomechanical potential to control the scoliosis progression and highlights the importance of the instrumentation configuration to correct the spinal deformities. It biomechanically supports the new fusionless device concept as an alternative for the early treatment of idiopathic scoliosis. LEVEL OF EVIDENCE 5.
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12
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Multi-scale finite element model of growth plate damage during the development of slipped capital femoral epiphysis. Biomech Model Mechanobiol 2014; 14:371-85. [DOI: 10.1007/s10237-014-0610-8] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/21/2014] [Accepted: 08/04/2014] [Indexed: 10/24/2022]
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13
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Physeal cartilage exhibits rapid consolidation and recovery in intact knees that are physiologically loaded. J Biomech 2013; 46:1516-23. [DOI: 10.1016/j.jbiomech.2013.03.026] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2012] [Revised: 03/23/2013] [Accepted: 03/30/2013] [Indexed: 11/20/2022]
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14
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Amini S, Mortazavi F, Sun J, Levesque M, Hoemann CD, Villemure I. Stress relaxation of swine growth plate in semi-confined compression: depth dependent tissue deformational behavior versus extracellular matrix composition and collagen fiber organization. Biomech Model Mechanobiol 2012; 12:67-78. [DOI: 10.1007/s10237-012-0382-y] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2011] [Accepted: 02/22/2012] [Indexed: 02/08/2023]
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