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Pramudita JA, Hiroki W, Yoda T, Tanabe Y. Variations in Strain Distribution at Distal Radius under Different Loading Conditions. Life (Basel) 2022; 12:life12050740. [PMID: 35629407 PMCID: PMC9144860 DOI: 10.3390/life12050740] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2022] [Revised: 05/10/2022] [Accepted: 05/12/2022] [Indexed: 11/16/2022] Open
Abstract
Distal radial fractures exhibit various fracture patterns. By assuming that the strain distribution at the distal radius affects the diversification of the fracture pattern, a parameter study using the finite element model of a wrist developed from computed tomography (CT) images was performed under different loading conditions. The finite element model of the wrist consisted of the radius, ulna, scaphoid, lunate, triquetrum, and major carpal ligaments. The material properties of the bone models were assigned on the basis of the Hounsfield Unit (HU) values of the CT images. An impact load was applied to the scaphoid, lunate, and triquetrum to simulate boundary conditions during fall accidents. This study considered nine different loading conditions that combine three different loading directions and three different load distribution ratios. According to the analysis results, the strain distribution at the distal radius changed with respect to the change in the loading condition. High strain concentration occurred in regions where distal radius fractures are commonly developed. The direction and distribution of the load acting on the radius were considered to be factors that may cause variations in the fracture pattern of distal radius fractures.
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Affiliation(s)
- Jonas A. Pramudita
- College of Engineering, Nihon University, Koriyama 963-8642, Japan
- Correspondence:
| | - Wataru Hiroki
- Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
| | - Takuya Yoda
- Graduate School of Medical and Dental Sciences, Niigata University, Niigata 950-2181, Japan;
| | - Yuji Tanabe
- Management Strategy Section, President Office, Niigata University, Niigata 950-2181, Japan;
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Thom ML, Willmore K, Surugiu A, Lalone E, Burkhart TA. Females Are Not Proportionally Smaller Males: Relationships Between Radius Anthropometrics and Their Sex Differences. Hand (N Y) 2020; 15:850-857. [PMID: 30819017 PMCID: PMC7850245 DOI: 10.1177/1558944719831239] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Background: Distal radius fracture reduction by internal fixation is most commonly achieved using volar locking plates (VLPs). Many standard VLP designs make little point contact with radius anatomy, and most postsurgical complications following fixation are attributed to poor implant fit. Sex differences may require consideration in implant design, as females more commonly require VLP removal. Therefore, the purpose of this research was to determine whether the relationships between measures of radius shape are proportional between the sexes. Methods: Three-dimensional radius bone geometries were created from 40 male and 34 female (mean age = 72.04 years) forearm computed tomographic scans in Mimics (Materialise NV, Leuven, Belgium). Eleven measures of radius shape were collected from each scan. Principal components analysis was performed on these measures to determine which shape variables account for the greatest differences in radius shape among individuals and between the sexes. Results: Principal component scores representing isometric radius size separated the sexes. Six anthropometric measures significantly correlated with isometric radius size for all specimens, whereas 3 and 1 measures significantly correlated with isometric radius size in males and females, respectively. Conclusions: Anthropometrics of male and female radii vary by different proportions. Using anthropometrics from both sexes to create a single implant system may not result in optimal patient fit for either sex.
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Affiliation(s)
| | | | | | | | - Timothy A. Burkhart
- Western University, London, ON, Canada,Timothy A. Burkhart, Department of Mechanical and Materials Engineering, Western University, 1151 Richmond Road, London, ON, Canada N6A 3K7.
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Zapata E, Rongieras F, Pialat JB, Follet H, Mitton D. An ex vivo experiment to reproduce a forward fall leading to fractured and non-fractured radii. J Biomech 2017; 63:174-178. [PMID: 28859857 DOI: 10.1016/j.jbiomech.2017.08.013] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2017] [Revised: 07/24/2017] [Accepted: 08/11/2017] [Indexed: 10/19/2022]
Abstract
Forward falls represent a risk of injury for the elderly. The risk is increased in elderly persons with bone diseases, such as osteoporosis. However, half of the patients with fracture were not considered at risk based on bone density measurement (current clinical technique). We assume that loading conditions are of high importance and should be considered. Real loading conditions in a fall can reach a loading speed of 2m/s on average. The current study aimed to apply more realistic loading conditions that simulate a forward fall on the radius ex vivo. Thirty radii from elderly donors (79y.o.±12y.o., 15 males, 15 females) were loaded at 2m/s using a servo-hydraulic testing machine to mimic impact that corresponds to a fall. Among the 30 radii, 14 had a fracture after the impact, leading to two groups (fractured and non-fractured). Surfacic strain fields were measured using stereovision and allow for visualization of fracture patterns. The average maximum load was 2963±1274N. These experimental data will be useful for assessing the predictive capability of fracture risk prediction methods such as finite element models.
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Affiliation(s)
- E Zapata
- Univ Lyon, Université Claude Bernard Lyon 1, IFSTTAR, LBMC UMR_T9406, F69622 Lyon, France; Univ Lyon, Université Claude Bernard Lyon 1, INSERM, Lyos UMR1033, F69622 Lyon, France
| | - F Rongieras
- Univ Lyon, Université Claude Bernard Lyon 1, IFSTTAR, LBMC UMR_T9406, F69622 Lyon, France; Service de chirurgie orthopédique et traumatologique - Hôpital d'instruction des armées Desgenettes, 69003 Lyon, France
| | - J-B Pialat
- Univ Lyon, Université Claude Bernard Lyon 1, INSERM, Lyos UMR1033, F69622 Lyon, France; Service de Radiologie, Centre Hospitalier Lyon Sud, Pierre-Bénite, France
| | - H Follet
- Univ Lyon, Université Claude Bernard Lyon 1, INSERM, Lyos UMR1033, F69622 Lyon, France
| | - D Mitton
- Univ Lyon, Université Claude Bernard Lyon 1, IFSTTAR, LBMC UMR_T9406, F69622 Lyon, France.
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Smolen C, Quenneville CE. A Finite Element Model of the Foot/Ankle to Evaluate Injury Risk in Various Postures. Ann Biomed Eng 2017; 45:1993-2008. [PMID: 28470459 DOI: 10.1007/s10439-017-1844-2] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2016] [Accepted: 04/25/2017] [Indexed: 11/25/2022]
Abstract
The foot/ankle complex is frequently injured in many types of debilitating events, such as car crashes. Numerical models used to assess injury risk are typically minimally validated and do not account for ankle posture variations that frequently occur during these events. The purpose of this study was to evaluate a finite element model of the foot and ankle accounting for these positional changes. A model was constructed from computed tomography scans of a male cadaveric lower leg and was evaluated by comparing simulated bone positions and strain responses to experimental results at five postures in which fractures are commonly reported. The bone positions showed agreement typically within 6° or less in all anatomical directions, and strain matching was consistent with the range of errors observed in similar studies (typically within 50% of the average strains). Fracture thresholds and locations in each posture were also estimated to be similar to those reported in the literature (ranging from 6.3 kN in the neutral posture to 3.9 kN in combined eversion and external rotation). The least vulnerable posture was neutral, and all other postures had lower fracture thresholds, indicating that examination of the fracture threshold of the lower limb in the neutral posture alone may be an underestimation. This work presents an important step forward in the modeling of lower limb injury risk in altered ankle postures. Potential clinical applications of the model include the development of postural guidelines to minimize injury, as well as the evaluation of new protective systems.
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Affiliation(s)
- Chris Smolen
- Department of Mechanical Engineering, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4L7, Canada
| | - Cheryl E Quenneville
- Department of Mechanical Engineering, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4L7, Canada. .,School of Biomedical Engineering, McMaster University, Hamilton, ON, Canada.
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Reeves JM, Burkhart TA, Dunning CE. The effect of static muscle forces on the fracture strength of the intact distal radius in vitro in response to simulated forward fall impacts. J Biomech 2014; 47:2672-8. [PMID: 24927979 DOI: 10.1016/j.jbiomech.2014.05.010] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/13/2013] [Revised: 04/17/2014] [Accepted: 05/17/2014] [Indexed: 10/25/2022]
Abstract
The distal radius fracture (DRF) is a particularly dominant injury of the wrist, commonly resulting from a forward fall on an outstretched hand. In an attempt to reduce the prevalence, costs, and potential long-term pain/deformities associated with this injury, in vivo and in vitro investigations have sought to classify the kinematics and kinetics of DRFs. In vivo forward fall work has identified a preparatory muscle contraction that occurs in the upper extremity prior to peak impact force. The present investigation constitutes the first attempt to systematically determine the effect of static muscle forces on the fracture threshold of the distal radius in vitro. Paired human cadaveric forearm specimens were divided into two groups, one that had no muscle forces applied (i.e., right arms) and the other that had muscle forces applied to ECU, ECRL, FCU and FCR (i.e., left arms), with magnitudes based on peak muscle forces and in vivo lower bound forward fall activation patterns. The specimens were secured in a custom-built pneumatic impact loading device and subjected to incremental impacts at pre-fracture (25 J) and fracture (150 J) levels. Similar fracture forces (6565 (866)N and 8665 (5133)N), impulses (47 (6)Ns and 57 (30)Ns), and energies (152 (38)J and 144 (45)J) were observed for both groups of specimens (p>0.05). Accordingly, it is suggested that, at the magnitudes presently simulated, muscle forces have little effect on the way the distal radius responds to forward fall initiated impact loading.
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Affiliation(s)
- Jacob M Reeves
- Jack McBain Biomechanical Testing Laboratory Department of Mechanical and Materials Engineering, Western University, 1151 Richmond St, London, ON N6A 5B9, Canada.
| | - Timothy A Burkhart
- Jack McBain Biomechanical Testing Laboratory Department of Mechanical and Materials Engineering, Western University, 1151 Richmond St, London, ON N6A 5B9, Canada.
| | - Cynthia E Dunning
- Jack McBain Biomechanical Testing Laboratory Department of Mechanical and Materials Engineering, Western University, 1151 Richmond St, London, ON N6A 5B9, Canada.
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Burkhart TA, Quenneville CE, Dunning CE, Andrews DM. Development and validation of a distal radius finite element model to simulate impact loading indicative of a forward fall. Proc Inst Mech Eng H 2014; 228:258-71. [PMID: 24515978 DOI: 10.1177/0954411914522781] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The purpose of this work was to develop and validate a finite element model of the distal radius to simulate impact loading. Eight-node hexahedral meshes of the bone and impactor components were created. Three separate impact events were simulated by altering the impact velocity assigned to the model projectile (pre-fracture, crack and fracture). Impact forces and maximum and minimum principal strains were calculated and used in the validation process by comparing with previously collected experimental data. Three measures of mesh quality (Jacobians, aspect ratios and orthogonality) and four validation methods (validation metric, error assessment, fracture comparisons and ensemble averages) assessed the model. The element Jacobians, aspect ratios and orthogonality measures ranged from 0.08 to 12, 1.1 to 26 and -70° to 80°, respectively. The force and strain validation metric ranged from 0.10 to 0.54 and 0.35 to 0.67, respectively. The estimated peak axial force was found to be a maximum of 28.5% greater than the experimental (crack) force, and all forces fell within ±2 standard deviation of the mean experimental fracture forces. The predicted strains were found to differ by a mean of 33% across all impact events, and the model was found to accurately predict the location and severity of bone damage. Overall, the model presented here is a valid representation of the distal radius subjected to impact.
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Affiliation(s)
- Timothy A Burkhart
- Department of Mechanical and Materials Engineering, Western University, London, ON, Canada
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Burkhart TA, Andrews DM, Dunning CE. Multivariate injury risk criteria and injury probability scores for fractures to the distal radius. J Biomech 2013; 46:973-8. [PMID: 23352774 DOI: 10.1016/j.jbiomech.2012.12.003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/11/2012] [Revised: 11/06/2012] [Accepted: 12/06/2012] [Indexed: 11/25/2022]
Abstract
The purpose of this study was to develop a multivariate distal radius injury risk prediction model that incorporates dynamic loading variables in multiple directions, and interpret the distal radius failure data in order to establish injury probability thresholds. Repeated impacts with increasing intensity were applied to the distal third of eight human cadaveric radius specimens (mean (SD) age=61.9 (9.7)) until injury occurred. Crack (non-propagating damage) and fracture (specimen separated into at least two fragments) injury events were recorded. Best subsets analysis was performed to find the best multivariate injury risk model. Force-only risk models were also determined for comparison. Cumulative distribution functions were developed from the parameters of a Weibull analysis and the forces and risk scores (i.e., values calculated from the injury risk models) from 10% to 90% probability were calculated. According to the adjusted R(2), variance inflation factor and p-values, the model that best predicted the crack event included medial/lateral impulse, Fz load rate, impact velocity and the natural logarithm of Fz (Adj. R(2)=0.698), while the best predictive model of the fracture event included medial/lateral impulse, impact velocity and peak Fz (Adj. R(2)=0.845). The multivariate models predicted injury risk better than both the Fz-only crack (Adj. R(2)=0.551) and fracture (Adj. R(2)=0.293) models. Risk scores of 0.5 and 0.6 corresponded to 10% failure probability for the crack and fracture events, respectively. The inclusion of medial/lateral impulse and impact velocity in both crack and fracture models, and Fz load rate in the crack model, underscores the dynamic nature of these events. This study presents a method capable of developing a set of distal radius fracture prediction models that can be used in the assessment and development of distal radius injury prevention interventions.
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Affiliation(s)
- Timothy A Burkhart
- Department of Mechanical and Materials Engineering, Western University, 1151 Richmond Street, London, Ont., Canada, N6A 5B9.
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