Geometry strongly influences the response of numerical models of the lumbar spine-A probabilistic finite element analysis

Journal of Biomechanics

Volumn 45, Issue 8, 2012, Pages 1414-1423

  Niemeyer, Frank ^a   Wilke, Hans Joachim ^a   Schmidt, Hendrik ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

Finite element analysis; Lumbar spine; Probabilistic design analysis; Sensitivity analysis; Uncertainty analysis

Indexed keywords

ACCURATE MEASUREMENT; FACET JOINTS; FE MODEL; GEOMETRY PARAMETER; LOWER AND UPPER BOUNDS; LUMBAR SPINES; NATURAL VARIABILITY; PARAMETERIZED; POINT ESTIMATE; POTENTIAL EFFECTS; PROBABILISTIC DESIGN; PROBABILISTIC FINITE ELEMENT ANALYSIS; PROBABILISTIC UNCERTAINTY; RANGE OF MOTIONS; SAMPLE SIZES;

FINITE ELEMENT METHOD; GEOMETRY; SAMPLING; SENSITIVITY ANALYSIS;

UNCERTAINTY ANALYSIS;

ANATOMICAL VARIATION; ARTICLE; BONE STRUCTURE; COMPRESSION; CONTROLLED STUDY; END PLATE DEPTH; END PLATE WIDTH; FACET ANGLE; FACET JOINT CONTACT FORCE; FINITE ELEMENT ANALYSIS; GEOMETRY; INTERVERTEBRAL DISK; INTERVERTEBRAL DISK HEIGHT; INTRA ARTICULAR SPACE; LUMBAR SPINE; MATHEMATICAL MODEL; MUSCULOSKELETAL SYSTEM PARAMETERS; PEDICLE LENGTH; PRIORITY JOURNAL; RANGE OF MOTION; SENSITIVITY ANALYSIS; SPINE MOBILITY; UNCERTAINTY;

COMPUTER SIMULATION; ELASTIC MODULUS; FINITE ELEMENT ANALYSIS; HUMANS; INTERVERTEBRAL DISC; LUMBAR VERTEBRAE; MODELS, BIOLOGICAL; MODELS, STATISTICAL; PRESSURE; RANGE OF MOTION, ARTICULAR; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; WEIGHT-BEARING; ZYGAPOPHYSEAL JOINT;

EID: 84860114331     PISSN: 00219290     EISSN: 18732380     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2012.02.021     Document Type: Article

References (38)

1. Adams M., Hutton W. The effect of posture on the role of the apophysial joints in resisting intervertebral compressive forces. Journal of Bone & Joint Surgery, British 1980, 62-B:358-362.
2. Azen R., Budescu D.V. The Dominance Analysis Approach for Comparing Predictors in Multiple Regression. Psychological Methods 2003, 8:129-148.
3. Bring J. How to Standardize Regression Coefficients. The American Statistician 1994, 48:209-213.
4. Budescu D.V. Dominance analysis: A new approach to the problem of relative importance of predictors in multiple regression. Psychological Bulletin 1993, 114:542-551.
5. Chevan A., Sutherland M. Hierarchical Partitioning. The American Statistician 1991, 45:90-96.
6. Davison A.C., Hinkley D.V. Bootstrap Methods and their Application. Cambridge Series on Statistical and Probabilistic Mathematics 1997, Cambridge University Press, Cambridge. R. Gill, B.D. Ripley, S. Ross, M. Stein, D. Williams (Eds.).
7. Eberlein R., Holzapfel G.A., Fröhlich M. Multi-segment FEA of the human lumbar spine including the heterogeneity of the annulus fibrosus. Computational Mechanics 2004, 34:147-163.
8. *Power 3.1: Tests for correlation and regression analyses. Behavior Research Methods 2009, 41:1149-1160.
9. *Power 3: a flexible statistical power analysis program for the social, behavioral, and biomedical sciences. Behavior Research Methods 2007, 39:175-191.
10. Gatsonis C., Sampson A.R. Multiple correlation: Exact power and sample size calculations. Psychological Bulletin 1989, 106:516-524.
11. Goel V.K., Ramirez S.A., Kong W., Gilbertson L.G. Cancellous Bone Young's Modulus Variation Within the Vertebral Body of a Ligamentous Lumbar Spine-Application of Bone Adaptive Remodeling Concepts. Journal of Biomechanical Engineering 1995, 117:266-271.
12. Grömping U. Relative Importance for Linear Regression in R: The Package relaimpo. Journal of Statistical Software 2006, 17:1-27.
13. Grömping U. Estimators of Relative Importance in Linear Regression Based on Variance Decomposition. The American Statistician 2007, 61:139-147.
14. Helton J.C., Davis F.J. Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliability Engineering & System Safety 2003, 81:23-69.
15. Heuer F., Schmidt H., Klezl Z., Claes L., Wilke H.-J. Stepwise reduction of functional spinal structures increase range of motion and change lordosis angle. Journal of Biomechanics 2007, 40:271-280.
16. Johnson J.W., Lebreton J.M. History and Use of Relative Importance Indices in Organizational Research. Organizational Research Methods 2004, 7:238-257.
17. Lee K.K., Teo E.C. Material sensitivity study on lumbar motion segment (L2-L3) under sagittal plane loadings using probabilistic method. J Spinal Disord Tech 2005, 18:163-170.
18. Lindeman, R., Merenda, P.F., Gold, R.Z., 1980. Introduction to Bivariate and Multivariate Analysis. Longman Higher Education.
19. Masharawi Y., Rothschild B., Dar G., Peleg S., Robinson D., Been E., Hershkovitz I. Facet orientation in the thoracolumbar spine: three-dimensional anatomic and biomechanical analysis. Spine 2004, 29:1755-1763.
20. McKay M.D., Beckman R.J., Conover W.J. A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code. Technometrics 1979, 21:239-245.
21. Meijer G.J.M., Homminga J., Hekman E.E.G., Veldhuizen A.G., Verkerke G.J. The effect of three-dimensional geometrical changes during adolescent growth on the biomechanics of a spinal motion segment. Journal of Biomechanics 2010, 43:1590-1597.
22. Meijer G.J.M., Homminga J., Veldhuizen A.G., Verkerke G.J. Influence of Interpersonal Geometrical Variation on Spinal Motion Segment Stiffness. Spine 2011, 36:E929-E935.
23. Nolte L.P., Panjabi M., Oxland T. Biomechnical properties of lumbar spinal ligaments. Clinical Implant Materials, Advances in Biomaterials 1990, Volume 9:663-668. Elsevier, Heidelberg.
24. Panjabi M.M., Goel V., Oxland T., Takata K., Duranceau J., Krag M., Price M. Human lumbar vertebrae. Quantitative three-dimensional anatomy. Spine 1992, 17:299-306.
25. Panjabi M.M., Oxland T., Takata K., Goel V., Duranceau J., Krag M. Articular facets of the human spine. Quantitative three-dimensional anatomy. Spine 1993, 18:1298-1310.
26. Patwardhan A.G., Havey R.M., Meade K.P., Lee B., Dunlap B. A follower load increases the load-carrying capacity of the lumbar spine in compression. Spine 1999, 24:1003-1009.
27. R Development Core Team, 2011. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.
28. Rohlmann A., Mann A., Zander T., Bergmann G. Effect of an artificial disc on lumbar spine biomechanics: a probabilistic finite element study. European Spine Journal 2008, 18:89-97.
29. Rohlmann A., Neller S., Bergmann G., Graichen F., Claes L., Wilke H.-J. Effect of an internal fixator and a bone graft on intersegmental spinal motion and intradiscal pressure in the adjacent regions. European Spine Journal 2001, 10:301-308.
30. Schmidt H., Heuer F., Drumm J., Klezl Z., Claes L., Wilke H.-J. Application of a calibration method provides more realistic results for a finite element model of a lumbar spinal segment. Clinical Biomechanics 2007, 22:377-384.
31. Schmidt H., Heuer F., Simon U., Kettler A., Rohlmann A., Claes L., Wilke H.-J. Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus. Clinical Biomechanics 2006, 21:337-344.
32. Shirazi-Adl A., Ahmed A.M., Shrivastava S.C. A finite element study of a lumbar motion segment subjected to pure sagittal plane moments. Journal of Biomechanics 1986, 19:331-350.
33. Shirazi-Adl A., Drouin G. Load-bearing role of facets in a lumbar segment under sagittal plane loadings. Journal of Biomechanics 1987, 20:601-613.
34. Shirazi-Adl A., Parnianpour M. Load-bearing and stress analysis of the human spine under a novel wrapping compression loading. Clinical Biomechanics 2000, 15:718-725.
35. Wilke H.-J., Wenger K., Claes L. Testing criteria for spinal implants: recommendations for the standardization of in vitro stability testing of spinal implants. European Spine Journal 1998, 7:148-154.
36. Zander T., Rohlmann A., Calisse J., Bergmann G. Estimation of muscle forces in the lumbar spine during upper-body inclination. Clinical Biomechanics 2001, 16(1):S73-S80.
37. Ziv I., Maroudas C., Robin G., Maroudas A. Human facet cartilage: swelling and some physicochemical characteristics as a function of age. Part 2: Age changes in some biophysical parameters of human facet joint cartilage. Spine 1993, 18:136-146.
38. Zuber V., Strimmer K. High-Dimensional Regression and Variable Selection Using CAR Scores. Statistical Applications in Genetics and Molecular Biology 2011, 10:34.