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Stoddart JC, Garner A, Tuncer M, Cobb JP, van Arkel RJ. The risk of tibial eminence avulsion fracture with bi-unicondylar knee arthroplasty : a finite element analysis. Bone Joint Res 2022; 11:575-584. [PMID: 35920206 PMCID: PMC9396920 DOI: 10.1302/2046-3758.118.bjr-2021-0533.r1] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/05/2022] Open
Abstract
AIMS The aim of this study was to determine the risk of tibial eminence avulsion intraoperatively for bi-unicondylar knee arthroplasty (Bi-UKA), with consideration of the effect of implant positioning, overstuffing, and sex, compared to the risk for isolated medial unicondylar knee arthroplasty (UKA-M) and bicruciate-retaining total knee arthroplasty (BCR-TKA). METHODS Two experimentally validated finite element models of tibia were implanted with UKA-M, Bi-UKA, and BCR-TKA. Intraoperative loads were applied through the condyles, anterior cruciate ligament (ACL), medial collateral ligament (MCL), and lateral collateral ligament (LCL), and the risk of fracture (ROF) was evaluated in the spine as the ratio of the 95th percentile maximum principal elastic strains over the tensile yield strain of proximal tibial bone. RESULTS Peak tensile strains occurred on the anterior portion of the medial sagittal cut in all simulations. Lateral translation of the medial implant in Bi-UKA had the largest increase in ROF of any of the implant positions (43%). Overstuffing the joint by 2 mm had a much larger effect, resulting in a six-fold increase in ROF. Bi-UKA had ~10% increased ROF compared to UKA-M for both the male and female models, although the smaller, less dense female model had a 1.4 times greater ROF compared to the male model. Removal of anterior bone akin to BCR-TKA doubled ROF compared to Bi-UKA. CONCLUSION Tibial eminence avulsion fracture has a similar risk associated with Bi-UKA to UKA-M. The risk is higher for smaller and less dense tibiae. To minimize risk, it is most important to avoid overstuffing the joint, followed by correctly positioning the medial implant, taking care not to narrow the bone island anteriorly.Cite this article: Bone Joint Res 2022;11(8):575-584.
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Affiliation(s)
- Jennifer C Stoddart
- Biomechanics Group, Department of Mechanical Engineering, Imperial College London, London, UK
| | - Amy Garner
- MSk Lab, Department of Surgery and Cancer, Imperial College London, London, UK.,Dunhill Medical Trust and Royal College of Surgeons of England Joint Research Fellowship, London, UK.,Health Education Kent, Surrey and Sussex Higher Surgical Training Programme, London, UK
| | | | - Justin P Cobb
- MSk Lab, Department of Surgery and Cancer, Imperial College London, London, UK
| | - Richard J van Arkel
- Biomechanics Group, Department of Mechanical Engineering, Imperial College London, London, UK
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2
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Dall'Ara E, Tozzi G. Digital volume correlation for the characterization of musculoskeletal tissues: Current challenges and future developments. Front Bioeng Biotechnol 2022; 10:1010056. [PMID: 36267445 PMCID: PMC9577231 DOI: 10.3389/fbioe.2022.1010056] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2022] [Accepted: 09/20/2022] [Indexed: 11/13/2022] Open
Abstract
Biological tissues are complex hierarchical materials, difficult to characterise due to the challenges associated to the separation of scale and heterogeneity of the mechanical properties at different dimensional levels. The Digital Volume Correlation approach is the only image-based experimental approach that can accurately measure internal strain field within biological tissues under complex loading scenarios. In this minireview examples of DVC applications to study the deformation of musculoskeletal tissues at different dimensional scales are reported, highlighting the potential and challenges of this relatively new technique. The manuscript aims at reporting the wide breath of DVC applications in the past 2 decades and discuss future perspective for this unique technique, including fast analysis, applications on soft tissues, high precision approaches, and clinical applications.
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Affiliation(s)
- Enrico Dall'Ara
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield, United Kingdom.,INSIGNEO Institute for in Silico Medicine, University of Sheffield, Sheffield, United Kingdom
| | - Gianluca Tozzi
- School of Engineering, University of Greenwich, Chatham Maritime, United Kingdom
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Oravec D, Drost J, Zauel R, Flynn MJ, Yeni YN. Assessment of Intravertebral Mechanical Strains and Cancellous Bone Texture Under Load Using a Clinically Available Digital Tomosynthesis Modality. J Biomech Eng 2021; 143:101011. [PMID: 34041529 PMCID: PMC8299817 DOI: 10.1115/1.4051280] [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: 12/15/2020] [Revised: 04/14/2021] [Indexed: 11/08/2022]
Abstract
Vertebral fractures are the most common osteoporotic fractures, but clinical means for assessment of vertebral bone integrity are limited in accuracy, as they typically use surrogate measures that are indirectly related to mechanics. The objective of this study was to examine the extent to which intravertebral strain distributions and changes in cancellous bone texture generated by a load of physiological magnitude can be characterized using a clinically available imaging modality. We hypothesized that digital tomosynthesis-based digital volume correlation (DTS-DVC) and image texture-based metrics of cancellous bone microstructure can detect development of mechanical strains under load. Isolated cadaveric T11 vertebrae and L2-L4 vertebral segments were DTS imaged in a nonloaded state and under physiological load levels. Axial strain, maximum principal strain, maximum compressive and tensile principal strains, and von Mises equivalent strain were calculated using the DVC technique. The change in textural parameters (line fraction deviation, anisotropy, and fractal parameters) under load was calculated within the cancellous centrum. The effect of load on measured strains and texture variables was tested using mixed model analysis of variance, and relationships of strain and texture variables with donor age, bone density parameters, and bone size were examined using regression models. Magnitudes and heterogeneity of intravertebral strain measures correlated with applied loading and were significantly different from background noise. Image texture parameters were found to change with applied loading, but these changes were not observed in the second experiment testing L2-L4 segments. DTS-DVC-derived strains correlated with age more strongly than did bone mineral density (BMD) for T11.
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Affiliation(s)
- Daniel Oravec
- Bone & Joint Center, Henry Ford Hospital, Integrative Biosciences Center (iBio), 6135 Woodward, Detroit, MI 48202
| | - Joshua Drost
- Bone & Joint Center, Henry Ford Hospital, Integrative Biosciences Center (iBio), 6135 Woodward, Detroit, MI 48202
| | - Roger Zauel
- Bone & Joint Center, Henry Ford Hospital, Integrative Biosciences Center (iBio), 6135 Woodward, Detroit, MI 48202
| | - Michael J. Flynn
- Department of Radiology, Henry Ford Hospital, One Ford Place, Suite 2F, Detroit, MI 48202
| | - Yener N. Yeni
- Bone & Joint Center, Henry Ford Hospital, Integrative Biosciences Center (iBio), 6135 Woodward, Detroit, MI 48202
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Tavana S, Clark JN, Newell N, Calder JD, Hansen U. In Vivo Deformation and Strain Measurements in Human Bone Using Digital Volume Correlation (DVC) and 3T Clinical MRI. MATERIALS 2020; 13:ma13235354. [PMID: 33255848 PMCID: PMC7728341 DOI: 10.3390/ma13235354] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/25/2020] [Revised: 11/20/2020] [Accepted: 11/23/2020] [Indexed: 12/15/2022]
Abstract
Strains within bone play an important role in the remodelling process and the mechanisms of fracture. The ability to assess these strains in vivo can provide clinically relevant information regarding bone health, injury risk, and can also be used to optimise treatments. In vivo bone strains have been investigated using multiple experimental techniques, but none have quantified 3D strains using non-invasive techniques. Digital volume correlation based on clinical MRI (DVC-MRI) is a non-invasive technique that has the potential to achieve this. However, before it can be implemented, uncertainties associated with the measurements must be quantified. Here, DVC-MRI was evaluated to assess its potential to measure in vivo strains in the talus. A zero-strain test (two repeated unloaded scans) was conducted using three MRI sequences, and three DVC approaches to quantify errors and to establish optimal settings. With optimal settings, strains could be measured with a precision of 200 με and accuracy of 480 με for a spatial resolution of 7.5 mm, and a precision of 133 με and accuracy of 251 με for a spatial resolution of 10 mm. These results demonstrate that this technique has the potential to measure relevant levels of in vivo bone strain and to be used for a range of clinical applications.
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Affiliation(s)
- Saman Tavana
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (N.N.)
- Correspondence: (S.T.); (U.H.); Tel.: +44-(0)20-7594-7061 (U.H.)
| | - Jeffrey N. Clark
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (N.N.)
| | - Nicolas Newell
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (N.N.)
| | - James D. Calder
- Department of Bioengineering, Imperial College London, London SW7 2AZ, UK;
- Fortius Clinic, 17 Fitzhardinge St, London W1H 6EQ, UK
| | - Ulrich Hansen
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (N.N.)
- Correspondence: (S.T.); (U.H.); Tel.: +44-(0)20-7594-7061 (U.H.)
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Kusins J, Knowles N, Ryan M, Dall'Ara E, Ferreira L. Full-field comparisons between strains predicted by QCT-derived finite element models of the scapula and experimental strains measured by digital volume correlation. J Biomech 2020; 113:110101. [PMID: 33171355 DOI: 10.1016/j.jbiomech.2020.110101] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2020] [Revised: 09/14/2020] [Accepted: 10/12/2020] [Indexed: 02/06/2023]
Abstract
Subject-specific finite element models (FEMs) of the shoulder can be used to evaluate joint replacement designs preclinically. However, to ensure accurate conclusions are drawn, experimental validation is critical. The objective of the current study was to evaluate the accuracy of strain predictions generated by subject-specific scapula FEMs through comparisons against full-field experimental strains measured using digital volume correlation (DVC). Three cadaveric scapulae were mechanically loaded using a custom-hexapod robot within a micro-CT scanner. BoneDVC was used to quantify resultant experimental full-field strains. Scapula FEMs were generated using three different density-modulus relationships to assign material properties. Two types of boundary conditions (BCs) were simulated: DVC-displacement-driven or applied-force-driven. Third principal strains were compared between the DVC measurements and FEM predictions. With applied-force BCs, poor agreement was observed between the predicted and measured strains (slope range: 0.16-0.19, r2 range: 0.04-0.30). Agreement was improved with the use of DVC-displacement BCs (slope range: 0.54-0.59, r2 range: 0.73-0.75). Strain predictions were independent of the density-modulus relationship used for DVC-displacement BCs, but differences were observed in the correlation coefficient and intercept for applied-force BCs. Overall, this study utilized full-field DVC-derived experimental strains for comparison with FEM predicted strains in models with varying material properties and BCs. It was found that fair agreement can be achieved in localized strain measurements between DVC measurements and FEM predictions when DVC-displacement BCs are used. However, performance suffered with use of applied-force BCs.
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Affiliation(s)
- Jonathan Kusins
- Department of Mechanical and Materials Engineering, Western University, London, Ontario, Canada; Roth
- McFarlane Hand and Upper Limb Centre, St. Joseph's Health Care, London, Ontario, Canada
| | - Nikolas Knowles
- Department of Radiology, Cumming School of Medicine, University of Calgary, Calgary, Alberta, Canada
| | - Melissa Ryan
- Department of Oncology and Metabolism and Insigneo:Institute for In Silico Medicine, University of Sheffield, Sheffield, UK
| | - Enrico Dall'Ara
- Department of Oncology and Metabolism and Insigneo:Institute for In Silico Medicine, University of Sheffield, Sheffield, UK
| | - Louis Ferreira
- Department of Mechanical and Materials Engineering, Western University, London, Ontario, Canada; Roth
- McFarlane Hand and Upper Limb Centre, St. Joseph's Health Care, London, Ontario, Canada.
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Ryan MK, Oliviero S, Costa MC, Wilkinson JM, Dall’Ara E. Heterogeneous Strain Distribution in the Subchondral Bone of Human Osteoarthritic Femoral Heads, Measured with Digital Volume Correlation. MATERIALS 2020; 13:ma13204619. [PMID: 33081288 PMCID: PMC7603047 DOI: 10.3390/ma13204619] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/30/2020] [Revised: 10/06/2020] [Accepted: 10/12/2020] [Indexed: 11/16/2022]
Abstract
Osteoarthritis (OA) is a chronic disease, affecting approximately one third of people over the age of 45. Whilst the etiology and pathogenesis of the disease are still not well understood, mechanics play an important role in both the initiation and progression of osteoarthritis. In this study, we demonstrate the application of stepwise compression, combined with microCT imaging and digital volume correlation (DVC) to measure and evaluate full-field strain distributions within osteoarthritic femoral heads under uniaxial compression. A comprehensive analysis showed that the microstructural features inherent in OA bone did not affect the level of uncertainties associated with the applied methods. The results illustrate the localization of strains at the loading surface as well as in areas of low bone volume fraction and subchondral cysts. Trabecular thickness and connectivity density were identified as the only microstructural parameters with any association to the magnitude of local strain measured at apparent yield strain or the volume of bone exceeding yield strain. This work demonstrates a novel approach to evaluating the mechanical properties of the whole human femoral head in case of severe OA.
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Affiliation(s)
- Melissa K. Ryan
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield S10 2TN, UK; (S.O.); (M.C.C.); (J.M.W.); (E.D.)
- INSIGNEO Institute for in silico Medicine, University of Sheffield, Sheffield S10 2TN, UK
- Medical Device Research Institute, Flinders University, Adelaide 5042, Australia
- Correspondence: ; Tel.: +61-8-8201-3208
| | - Sara Oliviero
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield S10 2TN, UK; (S.O.); (M.C.C.); (J.M.W.); (E.D.)
- INSIGNEO Institute for in silico Medicine, University of Sheffield, Sheffield S10 2TN, UK
| | - Maria Cristiana Costa
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield S10 2TN, UK; (S.O.); (M.C.C.); (J.M.W.); (E.D.)
- INSIGNEO Institute for in silico Medicine, University of Sheffield, Sheffield S10 2TN, UK
| | - J. Mark Wilkinson
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield S10 2TN, UK; (S.O.); (M.C.C.); (J.M.W.); (E.D.)
| | - Enrico Dall’Ara
- Department of Oncology and Metabolism, Mellanby Centre for Bone Research, University of Sheffield, Sheffield S10 2TN, UK; (S.O.); (M.C.C.); (J.M.W.); (E.D.)
- INSIGNEO Institute for in silico Medicine, University of Sheffield, Sheffield S10 2TN, UK
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Clark JN, Tavana S, Heyraud A, Tallia F, Jones JR, Hansen U, Jeffers JRT. Quantifying 3D Strain in Scaffold Implants for Regenerative Medicine. MATERIALS (BASEL, SWITZERLAND) 2020; 13:E3890. [PMID: 32899192 PMCID: PMC7504351 DOI: 10.3390/ma13173890] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/29/2020] [Revised: 08/27/2020] [Accepted: 09/01/2020] [Indexed: 12/30/2022]
Abstract
Regenerative medicine solutions require thoughtful design to elicit the intended biological response. This includes the biomechanical stimulus to generate an appropriate strain in the scaffold and surrounding tissue to drive cell lineage to the desired tissue. To provide appropriate strain on a local level, new generations of scaffolds often involve anisotropic spatially graded mechanical properties that cannot be characterised with traditional materials testing equipment. Volumetric examination is possible with three-dimensional (3D) imaging, in situ loading and digital volume correlation (DVC). Micro-CT and DVC were utilised in this study on two sizes of 3D-printed inorganic/organic hybrid scaffolds (n = 2 and n = 4) with a repeating homogenous structure intended for cartilage regeneration. Deformation was observed with a spatial resolution of under 200 µm whilst maintaining displacement random errors of 0.97 µm, strain systematic errors of 0.17% and strain random errors of 0.031%. Digital image correlation (DIC) provided an analysis of the external surfaces whilst DVC enabled localised strain concentrations to be examined throughout the full 3D volume. Strain values derived using DVC correlated well against manually calculated ground-truth measurements (R2 = 0.98, n = 8). The technique ensures the full 3D micro-mechanical environment experienced by cells is intimately considered, enabling future studies to further examine scaffold designs for regenerative medicine.
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Affiliation(s)
- Jeffrey N. Clark
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (S.T.); (U.H.)
- Department of Materials, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (A.H.); (F.T.); (J.R.J.)
| | - Saman Tavana
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (S.T.); (U.H.)
| | - Agathe Heyraud
- Department of Materials, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (A.H.); (F.T.); (J.R.J.)
| | - Francesca Tallia
- Department of Materials, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (A.H.); (F.T.); (J.R.J.)
| | - Julian R. Jones
- Department of Materials, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (A.H.); (F.T.); (J.R.J.)
| | - Ulrich Hansen
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (S.T.); (U.H.)
| | - Jonathan R. T. Jeffers
- Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK; (J.N.C.); (S.T.); (U.H.)
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The Application of Digital Volume Correlation (DVC) to Evaluate Strain Predictions Generated by Finite Element Models of the Osteoarthritic Humeral Head. Ann Biomed Eng 2020; 48:2859-2869. [PMID: 32572730 PMCID: PMC7723934 DOI: 10.1007/s10439-020-02549-2] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2020] [Accepted: 06/12/2020] [Indexed: 01/29/2023]
Abstract
Continuum-level finite element models (FEMs) of the humerus offer the ability to evaluate joint replacement designs preclinically; however, experimental validation of these models is critical to ensure accuracy. The objective of the current study was to quantify experimental full-field strain magnitudes within osteoarthritic (OA) humeral heads by combining mechanical loading with volumetric microCT imaging and digital volume correlation (DVC). The experimental data was used to evaluate the accuracy of corresponding FEMs. Six OA humeral head osteotomies were harvested from patients being treated with total shoulder arthroplasty and mechanical testing was performed within a microCT scanner. MicroCT images (33.5 µm isotropic voxels) were obtained in a pre- and post-loaded state and BoneDVC was used to quantify full-field experimental strains (≈ 1 mm nodal spacing, accuracy = 351 µstrain, precision = 518 µstrain). Continuum-level FEMs with two types of boundary conditions (BCs) were simulated: DVC-driven and force-driven. Accuracy of the FEMs was found to be sensitive to the BC simulated with better agreement found with the use of DVC-driven BCs (slope = 0.83, r2 = 0.80) compared to force-driven BCs (slope = 0.22, r2 = 0.12). This study quantified mechanical strain distributions within OA trabecular bone and demonstrated the importance of BCs to ensure the accuracy of predictions generated by corresponding FEMs.
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Peña Fernández M, Hoxha D, Chan O, Mordecai S, Blunn GW, Tozzi G, Goldberg A. Centre of Rotation of the Human Subtalar Joint Using Weight-Bearing Clinical Computed Tomography. Sci Rep 2020; 10:1035. [PMID: 31974489 PMCID: PMC6978465 DOI: 10.1038/s41598-020-57912-z] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2019] [Accepted: 01/06/2020] [Indexed: 11/09/2022] Open
Abstract
Accurate in vivo quantification of subtalar joint kinematics can provide important information for the clinical evaluation of subtalar joint function; the analysis of outcome of surgical procedures of the hindfoot; and the design of a replacement subtalar joint prosthesis. The objective of the current study was to explore the potential of full weight-bearing clinical computed tomography (CT) to evaluate the helical axis and centre of rotation of the subtalar joint during inversion and eversion motion. A subject specific methodology was proposed for the definition of the subtalar joint motion combining three-dimensional (3D) weight-bearing imaging at different joint positions with digital volume correlation (DVC). The computed subtalar joint helical axis parameters showed consistency across all healthy subjects and in line with previous data under simulated loads. A sphere fitting approach was introduced for the computation of subtalar joint centre of rotation, which allows to demonstrate that this centre of rotation is located in the middle facet of the subtalar joint. Some translation along the helical axis was also observed, reflecting the elasticity of the soft-tissue restraints. This study showed a novel technique for non-invasive quantitative analysis of bone-to-bone motion under full weight-bearing of the hindfoot. Identifying different joint kinematics in patients with ligamentous laxity and instability, or in the presence of stiffness and arthritis, could help clinicians to define optimal patient-specific treatments.
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Affiliation(s)
- Marta Peña Fernández
- Zeiss Global Centre, School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, PO1 3DJ, UK.
| | - Dorela Hoxha
- Zeiss Global Centre, School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, PO1 3DJ, UK
| | - Oliver Chan
- UCL Institute of Orthopaedics & Musculoskeletal Science, Division of Surgery & Interventional Science, Royal National Orthopaedic Hospital, Stanmore, HA7 4LP, UK
| | - Simon Mordecai
- UCL Institute of Orthopaedics & Musculoskeletal Science, Division of Surgery & Interventional Science, Royal National Orthopaedic Hospital, Stanmore, HA7 4LP, UK
| | - Gordon W Blunn
- School of Pharmacy and Biomedical Sciences, University of Portsmouth, Portsmouth, PO1 2DT, UK
| | - Gianluca Tozzi
- Zeiss Global Centre, School of Mechanical and Design Engineering, University of Portsmouth, Portsmouth, PO1 3DJ, UK
| | - Andy Goldberg
- UCL Institute of Orthopaedics & Musculoskeletal Science, Division of Surgery & Interventional Science, Royal National Orthopaedic Hospital, Stanmore, HA7 4LP, UK
- MSK Lab, Faculty of Medicine, Department of Surgery & Cancer, Imperial College London, Level 2, Faculty Building, South Kensington Campus, London, SW7 2AZ, UK
- The London Ankle & Arthritis Centre, The Wellington Hospital, Wellington Place, London, NW8 9LE, UK
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