Reconstruction of bone loading conditions from in vivo strain measurements. 1995

H Weinans, and L Blankevoort
Section Biomechanics, University of Nijmegen, The Netherlands.

A method is described whereby bone loading conditions can be reconstructed from in vivo strain measurements. The method uses ex vivo calibration measurements to find the relationship between the strain data and the loads applied to the bone. Using singular value decomposition, a transformation matrix is determined which provides the best linear relationship available between the measured strain data and the measured loading components in the calibration measurements. The transformation matrix can then be used to calculate the loads which correspond best with any given strain data set made with that specific bone and strain gages. In this manner, the applied loads of earlier performed in vivo strain measurements can be reconstructed. The method was tested for the reconstruction of the loads on a tibia of a goat. After determining the transformation matrix from a set of calibration measurements, the transformation matrix was used to reconstruct all loading components (three forces and three moments) of a set of test measurements whereby the applied loads were measured. It was found that the axial force and the torsional moment on the bone could be reproduced very accurately, showing a root mean square error (RMSE) of only 2% of the maximal load in the test. The reconstruction of the bending moments was slightly worse, showing a RMSE of 5-8% of the maximal moments. The reconstruction of the transverse force components proved less accurate and a RMSE up to 24% of the maximum was found. Accuracy can be improved by using weight factors for the loading conditions and a more accurate measurement of the location of the loads during the calibration measurements.

UI MeSH Term Description Entries
D001842 Bone and Bones A specialized CONNECTIVE TISSUE that is the main constituent of the SKELETON. The principal cellular component of bone is comprised of OSTEOBLASTS; OSTEOCYTES; and OSTEOCLASTS, while FIBRILLAR COLLAGENS and hydroxyapatite crystals form the BONE MATRIX. Bone Tissue,Bone and Bone,Bone,Bones,Bones and Bone,Bones and Bone Tissue,Bony Apophyses,Bony Apophysis,Condyle,Apophyses, Bony,Apophysis, Bony,Bone Tissues,Condyles,Tissue, Bone,Tissues, Bone
D002138 Calibration Determination, by measurement or comparison with a standard, of the correct value of each scale reading on a meter or other measuring instrument; or determination of the settings of a control device that correspond to particular values of voltage, current, frequency or other output. Calibrations
D004548 Elasticity Resistance and recovery from distortion of shape.
D005684 Gait Manner or style of walking. Gaits
D006041 Goats Any of numerous agile, hollow-horned RUMINANTS of the genus Capra, in the family Bovidae, closely related to the SHEEP. Capra,Capras,Goat
D000465 Algorithms A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task. Algorithm
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D012399 Rotation Motion of an object in which either one or more points on a line are fixed. It is also the motion of a particle about a fixed point. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 4th ed) Clinorotation,Clinorotations,Rotations
D013314 Stress, Mechanical A purely physical condition which exists within any material because of strain or deformation by external forces or by non-uniform thermal expansion; expressed quantitatively in units of force per unit area. Mechanical Stress,Mechanical Stresses,Stresses, Mechanical
D013977 Tibia The second longest bone of the skeleton. It is located on the medial side of the lower leg, articulating with the FIBULA laterally, the TALUS distally, and the FEMUR proximally. Tibias

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