Towards validation of computational analyses of peri-implant displacements by means of experimentally obtained displacement maps

Micro-finite element (μFE) analysis has recently been introduced for the detailed quantification of the mechanical interaction between bone and implant. The technique has been validated at an apparent level. The aim of this study was to address the accuracy of μFE analysis at the trabecular level. Experimental displacement fields were obtained by deformable image registration, also known as strain mapping (SM), of dynamic hip screws implanted in three human femoral heads. In addition, displacement fields were calculated using μFE analysis. On a voxel-by-voxel basis, the coefficients of determination (R2) between experimental and μFE-calculated displacements ranged from 0.67 to 0.92. Linear regression of the mean displacements over nine volumes of interest yielded R2 between 0.81 and 0.84. The lowest R2 values were found in regions of very small displacements. In conclusion, we found that peri-implant bone displacements calculated with μFE analysis correlated well with displacements obtained from experimental SM.

[1]  B. Bay,et al.  Digital volume correlation: Three-dimensional strain mapping using X-ray tomography , 1999 .

[2]  R. Huiskes,et al.  A three-dimensional digital image correlation technique for strain measurements in microstructures. , 2004, Journal of biomechanics.

[3]  M. Blauth,et al.  [Osteosynthesis of fractures of the head of the tibia in advanced age. A matched-pair analysis]. , 2001, Der Unfallchirurg.

[4]  C. Barrios,et al.  Healing Complications After Internal Fixation of Trochanteric Hip Fractures: The Prognostic Value of Osteoporosis , 1993, Journal of orthopaedic trauma.

[5]  P Rüegsegger,et al.  Assessment of cancellous bone mechanical properties from micro-FE models based on micro-CT, pQCT and MR images. , 1998, Technology and health care : official journal of the European Society for Engineering and Medicine.

[6]  Zohar Yosibash,et al.  Validation of subject-specific automated p-FE analysis of the proximal femur. , 2009, Journal of biomechanics.

[7]  M. Blauth,et al.  Influence of osteoporosis on fracture fixation - a systematic literature review , 2008, Osteoporosis International.

[8]  G. Harry van Lenthe,et al.  VALIDATION OF A NOVEL STRAIN MAPPING ALGORITHM BASED ON DEFORMABLE REGISTRATION OF μCT IMAGES , 2008 .

[9]  R. Müller,et al.  Endosseous implant anchorage is critically dependent on mechanostructural determinants of peri‐implant bone trabeculae , 2010, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[10]  A. J. Wirth,et al.  Mechanical competence of bone-implant systems can accurately be determined by image-based micro-finite element analyses , 2010 .

[11]  Stavros K Kourkoulis,et al.  A parametric study of cylindrical pedicle screw design implications on the pullout performance using an experimentally validated finite-element model. , 2010, Medical engineering & physics.

[12]  Felix Eckstein,et al.  Regional, age and gender differences in architectural measures of bone quality and their correlation to bone mechanical competence in the human radius of an elderly population. , 2009, Bone.

[13]  Jean-Philippe Thirion,et al.  Image matching as a diffusion process: an analogy with Maxwell's demons , 1998, Medical Image Anal..

[14]  L. Claes,et al.  A Modified Hip Screw Incorporating Injected Cement for the Fixation of Osteoporotic Trochanteric Fractures , 2002, Journal of orthopaedic trauma.

[15]  Ralph Müller,et al.  A scalable multi‐level preconditioner for matrix‐free µ‐finite element analysis of human bone structures , 2008 .

[16]  Ralph Müller,et al.  In vivo micro-computed tomography allows direct three-dimensional quantification of both bone formation and bone resorption parameters using time-lapsed imaging. , 2011, Bone.

[17]  F. Linde,et al.  The underestimation of Young's modulus in compressive testing of cancellous bone specimens. , 1991, Journal of biomechanics.

[18]  M. M. Rashid,et al.  Digital volume correlation including rotational degrees of freedom during minimization , 2002 .

[19]  R M Harrington,et al.  Factors affecting the pullout strength of cancellous bone screws. , 1996, Journal of biomechanical engineering.

[20]  B. Bay.  Texture correlation: A method for the measurement of detailed strain distributions within trabecular bone , 1995, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[21]  B. Bay,et al.  Comparison of the linear finite element prediction of deformation and strain of human cancellous bone to 3D digital volume correlation measurements. , 2006, Journal of biomechanical engineering.

[22]  Andreas Kuhn,et al.  European Society of Biomechanics S.M. Perren Award 2008: using temporal trends of 3D bone micro-architecture to predict bone quality. , 2008, Journal of biomechanics.

[23]  Michael R Hardisty,et al.  Whole bone strain quantification by image registration: a validation study. , 2009, Journal of biomechanical engineering.

[24]  Cari M Whyne,et al.  Burst Fracture in the Metastatically Involved Spine: Development, Validation, and Parametric Analysis of a Three-Dimensional Poroelastic Finite-Element Model , 2003, Spine.

[25]  P Rüegsegger,et al.  Three-dimensional finite element modelling of non-invasively assessed trabecular bone structures. , 1995, Medical engineering & physics.

[26]  R. Müller,et al.  Time-lapsed microstructural imaging of bone failure behavior. , 2004, Journal of biomechanics.

[27]  E. Morgan,et al.  Accuracy and precision of digital volume correlation in quantifying displacements and strains in trabecular bone. , 2007, Journal of biomechanics.

[28]  Steven K Boyd,et al.  Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. , 2008, Bone.

[29]  W C Hayes,et al.  Micro-compression: a novel technique for the nondestructive assessment of local bone failure. , 1998, Technology and health care : official journal of the European Society for Engineering and Medicine.

[30]  F. Linde,et al.  Compressive axial strain distributions in cancellous bone specimens. , 1989, Journal of biomechanics.