A minimal parametric model of the femur to describe axial elastic strain in response to loads

Medical Engineering and Physics

Volumn 18, Issue 6, 1996, Pages 502-514

  Cristofolini, L ^a,b   Cappello, Angelo ^a   McNamara, B P ^b   Viceconti, M ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b RIZZOLI ORTHOPAEDIC INSTITUTE   (Italy)

Author keywords

Beam theory; Diaphysis; Human femur; Model; Strain

Indexed keywords

BIOMECHANICS; FINITE ELEMENT METHOD; IMPLANTS (SURGICAL); LOADS (FORCES); MATHEMATICAL MODELS; MUSCLE; ORTHOPEDICS; PARAMETER ESTIMATION; RESIDUAL STRESSES; STRAIN; STRAIN MEASUREMENT; STRESS CONCENTRATION;

AXIAL ELASTIC STRAIN; BONE RELATED COEFFICIENTS; FEMUR; LINEAR MODELS; MINIMAL PARAMETRIC MODEL; REVERSE ELASTIC PROBLEMS; STRAIN DISTRIBUTION; SYNTHETIC INDICES;

BONE;

ARTICLE; DIAPHYSIS; ELASTICITY; FEMUR; HUMAN; HUMAN TISSUE; LOADING TEST; MODEL; PRIORITY JOURNAL;

EID: 0030250944     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/1350-4533(95)00080-1     Document Type: Article

References (32)

1. 1. Koch JC. The laws of bone architecture. Am J Anat 1917; 21: 177-298.
2. 2. Toridis TG. Stress analysis of the femur. J Biomech 1969; 2: 163-74.
3. 3. Rybicki EF, Simonen FA, Weis EB. On the mathematical analysis of stress in the human femur. J Biomech 1971; 5: 203-15.
4. 4. Carter DR, Vasu R. Plate and bone stresses for single and double-plated femoral fractures. J Biomech 1981; 14: 55-62.
5. 5. Carter DR, Vasu R, Spengler DM, Dueland RT. Stress fields in the unplated and plated canine femur calculated from in-vivo strain measurements. J Biomech 1981; 14: 63-70.
6. 6. Huiskes R, Boeklagen R. Mathematical shape optimization of hip prostheses design. J Biomech 1989; 22: 793-804.
7. 7. Allison IM. Experimental Mechanics. Technology Transfer Between High Tech Engineering And Biomechanics, Little EG, Ed. Elsevier, Amsterdam, 1992; 11-22.
8. 8. Raftopoulos DD, Qassem W. Three-dimensional curved beam stress analysis of the human femur. J Biomed Eng 1987; 9: 356-66.
9. 9. Huiskes R, Janssen JD, Sloof TJ. Mechanical Properties Of Bone, Cowin SG, Ed. AMD Vol. 45, ASME, New York, 1981; 211-34.
10. 10. Huiskes R. On the modelling of long bones in structural analyses. J Biomech 1982; 15: 65-9.
11. 11. Evans FG, Hayes JF, Powers JE. Stresscoat deformation studies of the human femur under transverse loading. Anal Rec 1953; 116: 171-87.
12. 12. Delécrin J, Passuti N, Royer J, Rogez JM, Bainvel JV. Extensometrie et ancrage primaire d'implants femoraux. Etude de l'appui endocortical métaphysaire supérior de l'implant sans ciment B.P.R. Acta Orthop Belg 1989; 55: 150-61.
13. 13. Gdoutos EE, Raftopoulos DD, Baril JD. A critical review of the biomechanical stress analysis of the human femur. Biomaterials 1982; 3: 2-8.
14. 14. Pawluk RJ, Greer J, Tzitzikalakis GI, Michelsen CB. The effect of experimental models on femoral strain distributions. 30th Annual Meeting, Orthopaedic Research Society, Atlanta, Georgia, 1984; 54.
15. 15. Ruff CB. Structural changes in the lower limb bones with ageing at Pecos Pueblo, Ph.D. Dissertation in Anthropology, University of Pennsylvania, 1981.
16. 16. Draper NR, Smith H. Applied Regression Analysis. Wiley, New York, 1966.
17. 17. Delécrin J. Perturbations mécaniques du fémur induites par la prothèse B.P.R. Etudes extensométriques comparatives, Ph.D. Dissertation in Medicine, University of Nantes, 1988.
18. 18. Berme N, Mengi Y, Inger E. Determination of the transverse elastic coefficients of bone. J Biomech 1977; 10: 643-9.
19. 19. Cristofolini L, Cappello A, Viceconti M, Toni A, Giunti A. A validation of synthetic femur models in relation with comparative stress shielding studies of hip stems. Abstracts of the 2nd World Congress of Biomechanics, Blankervoort L, Kooloos JGM, Eds, Vol. 1. Stichting World Biomechanics, Nijmegen, 1994; 105.
20. 20. Cristofolini L, Viceconti M, Cappello A, Toni A. Structural validation of commercially available composite femur models. J Biomech 1995; 29: 525-535.
21. 21. Lord G, Marotten JH, Blanchard JP, Guillamon JL, Bancel P. Étude comparative des contraines exercées en charge sur le fémur porteur d'une prothése à l'appui trochantero-diaphysaire. Rev Chir Orthop 1980; 66: 141-56.
22. 22. Crowninshield RD, Pedersen DR, Brand RA. A measurement of proximal femur strain with total hip arthroplasty. J Biomech Eng 1980; 102: 230-233.
23. 23. McNamara BP, Cristofolini L, Toni A, Taylor D. Effect of bone-prosthesis interface bonding on stress shielding in cementless THA. In Advances in Bioengineering, Askew MJ, Ed., Vol. 28. ASME-BED, New York, 1994; 201-2.
24. 24. McNamara BP, Viceconti M, Cristofolini L, Toni A, Taylor D. Experimental and numerical pre-clinical evaluation relating to total hip arthroplasty. In Recent Advances in Computer Methods in Biomechanics and Biomedical Engineering, Middleton J, Pande GN, Williams KR, Eds. Books & Journals, Swansea. In press.
25. 25. Patriarco AG, Mann RW, Simon SR, Mansour JM. An evaluation of the approaches of optimization models in the prediction of muscle forces during human gait. J Biomech 1981; 14: 513-25.
26. 26. Kotzar GM, Davy DT, Goldberg VM, Heiple KG, Berilla J, Heiple KG JR., Brown RH, Burstein AH. Telemeterized in vivo hip joint force data: a report on two patients after total hip surgery. J Orthop Res 1991; 9: 621-33.
27. 27. Cristofolini L, Viceconti M, Toni A, Giunti A. Influence of thigh muscles on the axial strains in a proximal femur during early stance in gait. J Biomech 1995; 28: 617-24.
28. 28. Paul JP, MC Grouther DA. Forces transmitted at the hip and knee joint of normal and disabled persons during a range of activities. Acta Orthop Belg 1975; 41: 78-88.
29. 29. Crowninshield RD, Johnston RC, Andrews JG, Brand RA. A biomechanical investigation of the human hip. J Biomech 1978; 11: 75-85.
30. 30. Cristofolini L, McNamara BP, Cappello A, Toni A, Giunti A. A new protocol for stress shielding tests of hip prostheses. Abstracts of the 2nd World Congress of Biomechanics, Blankervoort L, Kooloos JGM, Eds, Vol. 2. Stichting World Biomechanics, Nijmegen, 1994; 338.
31. 31. Szivek JA, Weng M, Karpman R. Variability in the torsional and bending response of a commercially available composite femur. J Appl Biomat 1990; 1: 183-6.
32. 32. Jasty M, O'Connor DO, Henshaw RM, Harrigan TP. Fit of the uncemented femoral component and the cement influence the strain transfer to the femoral cortex. J Biomech 1994; 12: 648-56.