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A review of probabilistic analysis in orthopaedic biomechanics

By P. J. Laz and M. Browne


Probabilistic analysis methods are being increasingly applied in the orthopaedics and biomechanics literature to account for uncertainty and variability in subject geometries, properties of various structures, kinematics and joint loading, as well as uncertainty in implant<br/>alignment. <br/><br/>As a complement to experiments, finite element modelling, and statistical analysis, probabilistic analysis provides a method of characterizing the potential impact of variability in parameters on performance. This paper presents an overview of probabilistic analysis and a review of biomechanics literature utilizing probabilistic methods in structural reliability, kinematics, joint mechanics, musculoskeletal modelling, and patient-specific representations.<br/><br/>The aim of this review paper is to demonstrate the wide range of applications of probabilistic methods and to aid researchers and clinicians in better understanding probabilistic analyses

Topics: TA
OAI identifier: oai:eprints.soton.ac.uk:143375
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  1. (2001). A @ . Probabilistic finite element analysis of the cervical spine. doi
  2. (2008). A B . Development and validation of patient-specific finite element models of the hemipelvis generated from a sparse CT data set. doi
  3. A computational tool for the probabilistic finite element analysis of an uncemented total hip replacement considering variability in bone-implant version angle. Computer Methods in Biomechanics and Biomed. Engng doi
  4. (2009). A multi-subject evaluation of uncertainty in anatomical landmark location on shoulder kinematic description. doi
  5. (2006). A probabilistic model of glenohumeral external rotation strength for healthy normals and rotator cuff tear cases. doi
  6. (2008). A stochastic analysis of glenoid inclination angle and superior migration of the humeral head. doi
  7. (2005). A stochastic model of elbow flexion strength for subjects with and without long head biceps tear. doi
  8. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. doi
  9. (2006). Acetabular cup geometry and bone-implant interference have more influence on initial periprosthetic joint space than joint loading and surgical cup insertion. doi
  10. Active shape models – their training doi
  11. (1990). Advanced probabilistic structural-analysis method for implicit performance functions. doi
  12. (2008). An efficient probabilistic methodology for incorporating uncertainty in body segment parameters and anatomical landmarks in joint loadings estimated from inverse dynamics. doi
  13. Anterior cruciate ligament replacements: a mechanical study of femoral attachment location, flexion angle at tensioning, and initial tension. doi
  14. (2003). Application of a probabilistic microstructural model to determine reference length and toe-to-linear region transition in fibrous connective tissue. doi
  15. (2007). Are patient-specific joint and inertial parameters necessary for accurate inverse dynamics analyses of gait? doi
  16. Assessment of the effect of mesh density on the material property discretisation within QCT based FE models: a practical example using the implanted proximal tibia. doi
  17. (2004). Automatic generation of accurate subject-specific bone finite element models to be used in clinical studies. doi
  18. Biomechanics of changes in ACL and PCL material properties or prestrains in flexion under muscle force – implications in ligament reconstruction. doi
  19. (2004). Building a statistical shapemodel of thepelvis.
  20. (2007). Cement mantle fatigue failure in total hip replacement: experimental and computational doi
  21. (2005). Comparison of deformable and elastic foundation finite element simulations for predicting knee replacement mechanics. doi
  22. (2009). Could passive knee laxity be related to active gait mechanics? An exploratory computational biomechanical study using probabilistic methods. doi
  23. (2001). Design and analysis of robust total joint replacements: finite element model experiments with environmental variables.
  24. (2007). Determination of suitable sample sizes for multi-patient based finite element studies. Med. Engng Physics, doi
  25. Development of subjectspecific and statistical shape models of the knee using an efficient segmentation and mesh-morphing approach. doi
  26. (2009). Effect of an artificial disc on lumbar spine biomechanics: a probabilistic finite element doi
  27. (2009). Effect of geometrical uncertainty on cemented hip implant structural integrity. doi
  28. (2007). Effect of variability in anatomical landmark location on knee kinematic description. doi
  29. Effects of knee simulator loading and alignment variability on predicted implant mechanics: a probabilistic study. doi
  30. (2009). Efficient probabilistic finite element modeling for evaluation of spinal mechanics. doi
  31. Efficient probabilistic representationoftibiofemoralsofttissueconstraint.Computer Methods in Biomechanics and Biomed. doi
  32. (2002). Evaluation of image features and search strategies for segmentation of bone structures in radiographs using active shape models. Med. Image Analysis, doi
  33. (1989). Factors affecting the region of most isometric femoral attachments. 1. The posterior cruciate ligament. doi
  34. (1989). Factors affecting the region of most isometric femoral attachments. 2. The anterior cruciate ligament. doi
  35. Femoral anatomical frame: assessment of various definitions. doi
  36. (2007). Finite element-based probabilistic analysis tool for orthopaedic applications. Computer Methods and Programs in Biomedicine, doi
  37. (2006). Finite-element modeling of bones from CT data: sensitivity to geometry and material uncertainties. doi
  38. (2008). Generation of a statistical model of the whole femur incorporating shape and material property distribution. doi
  39. Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics. doi
  40. (2006). Influence of body segments’ parameters estimation models on inverse dynamics solutions during gait. doi
  41. (2008). Instantiation and registration of statistical shape models of the femur and pelvis using 3D ultrasound imaging. Med. Image Analysis, doi
  42. Investigation into the affect of cementing techniques on load doi
  43. Investigation into the effect of varus-valgus orientation on load transfer in the resurfaced femoral head: a multifemur finite element analysis. doi
  44. (2005). L A . Sensitivity of a Hillbased muscle model to perturbations in model parameters. doi
  45. (2005). Material sensitivity study on lumbar motion segment (L2–L3) under sagittal plane loadings using probabilistic method. doi
  46. (1984). Measurement of knee stiffness and laxity in patients with documented absence of the anterior cruciate ligament.
  47. Mesh morphing for finite element analysis of implant positioning in cementless total hip replacements. doi
  48. (2001). Modeling fatigue damage evolution in bone.
  49. (2005). On the importance of considering porosity when simulating the fatigue of bone cement. doi
  50. (1999). Pelvis and lower limb anatomical landmark calibration precision and its propagation to bone geometry and joint angles. doi
  51. (2008). Predicting the shapes of bones at a joint: application to the shoulder. doi
  52. (2006). Primary stability of an anatomical cementless hip stem: a statistical analysis. doi
  53. Principal component analysis, edition doi
  54. (2006). Probabilistic analysis in orthopaedic biomechanics 13 JEIM739
  55. (2005). Probabilistic analysis in orthopaedic biomechanics 15 JEIM739
  56. (1999). Probabilistic analysis of aircraft gas turbine disk life and doi
  57. (2009). Probabilistic analysis of an uncemented total hip replacement. Med. Engng Physics, doi
  58. Probabilistic analysis of the influence of the bonding degree of the stem– cement interface in the performance of cemented hipprostheses.J.Biomechanics,2006,39(10),1859– doi
  59. Probabilistic computational modeling of total knee replacement wear. doi
  60. (1992). Probabilistic damage tolerant analyses for fatigue critical aircraft components,
  61. (2004). Probabilistic design analysis of the influence of material property on the human cervical spine. doi
  62. Probabilistic engineering analysis using the NESSUS software. doi
  63. Probabilistic finite element analysis of the uncemented hip replacement – effect of femur characteristics and implant geometry. doi
  64. (2006). Probabilistic finite element prediction of knee wear simulator mechanics. doi
  65. (2009). Probabilistic model of ligaments and tendons: quasistatic linear stretching. doi
  66. (2007). Probabilistic modeling of knee muscle moment arms: effects of methods, origin-insertion, and kinematic variability. doi
  67. (1992). Probabilistic structural analysis using a general purpose finite element program. Finite Elements in Analysis and Des., doi
  68. Reliability analysis: a new approach to assess the performance of a cemented total hip replacement.
  69. reliability and statistical methods in engineering design, doi
  70. (1999). Reliability theory for load bearing biomedical implants. Biomaterials, doi
  71. (2002). Reliability-based design of automobile components. doi
  72. (2006). Reported anatomical variability naturally leads to multimodal distributions of Denavit–Hartenberg parameters for the human thumb. doi
  73. resurfaced femoral head: a multifemur finite element analysis.
  74. (2004). Sagittal plane biomechanics cannot injure the ACL during sidestep cutting. doi
  75. (2008). Sensitivity of knee replacement contact calculations to kinematic measurement errors. doi
  76. (2004). Sensitivity of the knee joint kinematics calculation to selection of flexion axes. doi
  77. Sensitivity of the tibio-femoral response to finite element modeling parameters. doi
  78. (2005). Sequentially crosslinked and annealed UHMWPE knee wear debris. doi
  79. (2002). Series in Statistics, doi
  80. (2006). Sex-based differences in the tensile properties of the human anterior cruciate ligament. doi
  81. (2007). Statistical deformable bone models for robust 3D surface extrapolation from sparse data. Med. Image Analysis, doi
  82. (2007). Statistical design of unicompartmental tibial implants and comparison with current devices. doi
  83. (2006). Statistical finite element model for bone shape and biomechanical properties. doi
  84. (2002). Statistical methods in finite element analysis. doi
  85. (2008). Statistical shape and density based finite element modeling of the human proximal femur. doi
  86. (1996). Stochastic methods for offshore structures.
  87. (2005). Structural properties of the medial collateral ligament complex of the human knee. doi
  88. (2001). Structural reliability analysis and prediction, doi
  89. (2006). Subject-specific finite element models of long bones: an in vitro evaluation of the overall accuracy. doi
  90. (2002). The effect of anterior cruciate ligament injury on knee joint function under a simulated muscle load: a three-dimensional computational simulation. doi
  91. (2006). The effect of three-dimensional shape optimization on the probabilistic response of a cemented femoral hip prosthesis. doi
  92. (1998). The effect of variation in knee center location estimates on net knee joint moments. Gait and Posture, doi
  93. (1994). The mechanical properties of the 2 bundles of the human posterior cruciate ligament. doi
  94. (2006). The role of the medial collateral ligament and posteromedial capsule in controlling knee laxity. doi
  95. The role of the posterolateral and cruciate ligaments in the stability of the human knee – a biomechanical study. doi
  96. (1997). The variability of shoulder motions recorded by means of palpation. doi
  97. (2008). Tibiofemoral cartilage thickness distribution and its correlation with anthropometric variables. doi
  98. (2003). Towards a realistic biomechanical model of the thumb: the choice of kinematic description may be more critical than the solution method or the variability/uncertainty in musculoskeletal parameters. doi
  99. (2009). Use of a statistical model of the whole femur in a large scale, multi-model study of femoral neck fracture doi
  100. (2006). Verification and validation for a penetration model using a deterministic and probabilistic design tool. doi
  101. (2008). Wear debris from sequentially crosslinked and crosslinked PE in a knee simulator model.

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