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Characterizing the effective stiffness of the pelvis during sideways falls on the hip
Authors:Andrew C Laing  Stephen N Robinovitch
Institution:1. TUHH – Hamburg University of Technology, Institute of Biomechanics, Denickestrasse 15, 21073 Hamburg, Germany;2. Schoen Klinik Hamburg Eilbek, Centre for Endoprothetics, 22081 Hamburg, Germany;3. Institute of Legal Medicine, University of Hamburg-Eppendorf, 22529 Hamburg, Germany;4. HAW Hamburg University of Applied Science, Fakultät Life Science, Department Medizintechnik, Ulmenliet 20, 21033 Hamburg, Germany;1. Department of Orthopaedic Surgery, Wake Forest School of Medicine, Winston-Salem, NC 27157-1050, USA;2. BioRec, 602 S Perry Ln, Tempe, AZ 85281, USA;3. Blue Ridge Bone and Joint, 2585 Hendersonville Road, Arden, NC 28704, USA
Abstract:The force applied to the proximal femur during a fall, and thus hip fracture risk, is dependent on the effective stiffness of the body during impact. Accurate estimates of pelvis stiffness are required to predict fracture risk in a fall. However, the dynamic force–deflection properties of the human pelvis have never been measured in-vivo. Our objectives were to (1) measure the force–deflection properties of the pelvis during lateral impact to the hip, and (2) determine whether the accuracy of a mass-spring model of impact in predicting peak force depends on the characterization of non-linearities in stiffness. We used a sling and electromagnet to release the participant’s pelvis from heights up to 5 cm, simulating low-severity sideways falls. We measured applied loads with a force plate, and pelvis deformation with a motion capture system. In the 5 cm trials peak force averaged 1004 (SD 115) N and peak deflection averaged 26.3 (5.1) mm. We observed minimal non-linearities in pelvic force–deflection properties characterized by an 8% increase in the coefficient of determination for non-linear compared to linear regression equations fit to the data. Our model consistently overestimated peak force (by 49%) when using a non-linear stiffness equation, while a piece-wise non-linear fit (non-linear for low forces, linear for loads exceeding 300 N) predicted peak force to within 1% at our highest drop height. This study has important implications for mathematical and physical models of falls, including mechanical systems that assess the biomechanical effectiveness of protective devices aimed at reducing hip fracture risk.
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