0
TECHNICAL PAPERS

Variability of a Three-Dimensional Finite Element Model Constructed Using Magnetic Resonance Images of a Knee for Joint Contact Stress Analysis

[+] Author and Article Information
Guoan Li, Orlando Lopez, Harry Rubash

Orthopedic Biomechanics Lab, Harvard Medical School, Massachusetts General Hospital/Beth Israel Deaconess Medical Center, Boston, MA 02215

J Biomech Eng 123(4), 341-346 (Mar 13, 2001) (6 pages) doi:10.1115/1.1385841 History: Received March 02, 1999; Revised March 13, 2001
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Eckstein,  F., Adam,  C., Sittek,  H., Becker,  C., Milz,  S. E. S., Reiser,  M., and Putz,  R., 1997, “Non-Invasive Determination of Cartilage Thickness Throughout Joint Surfaces Using Magnetic Resonance Imaging,” J. Biomech., 30, No. 3, pp. 285–289.
Kiviranta,  I., Lyyra,  T., Vaatainen,  U., Seuri,  R., Jaroma,  H., Tammi,  M., and Jurvelin,  J., 1987, “Knee Joint Articular Cartilage Shows General Softening in Patients With Chondromalacia of the Patella,” Trans. Annu. Meet. — Orthop. Res. Soc., 33, p. 197.
Abdel-Rahman,  E., and Hefzy,  M. S., 1993, “A Two-Dimensional Dynamic Anatomical Model of the Human Knee Joint,” ASME J. Biomech. Eng., 115, pp. 357–365.
Andriacchi,  T. P., Mikosz,  R. P., Hampton,  S. J., and Galante,  J. O., 1983, “Model Studies of the Stiffness Characteristics of the Human Knee Joint,” J. Biomech., 16, pp. 23–29.
Bach,  B. R., Daluga,  D. J., Mikosz,  R., Andriacchi,  T. P., and Seidl,  R., 1992, “Force Displacement Characteristics of the Posterior Cruciate Ligament,” Am. J. Sports Med. , 20, pp. 67–72.
Blankevoort,  L., and Huiskes,  R., 1996, “Validation of a Three-Dimensional Model of the Knee,” J. Biomech., 29, No. 7, pp. 955–961.
Blankevoort,  L., Kuiper,  J. H., Huiskes,  R., and Grootenboer,  H. J., 1991, “Articular Contact in a Three Dimensional Model of the Knee,” J. Biomech., 24, 1019–1031.
Crowninshield,  R., Pope,  M. H., and Johnson,  R. J., 1976, “An Analytical Model of the Knee,” J. Biomech., 9, 397–405.
Essinger,  J. R., Leyvarz,  P. F., Heegard,  J. H., and Robertson,  D. D., 1989, “A Mathematical Model for the Evaluation of the Behavior During Flexion of Condylar-Type Knee Prostheses,” J. Biomech., 22, No. 11/12, pp. 1229–1241.
Gibson,  M., Mikosz,  R., Reider,  B., and Andriacchi,  T., 1986, “Analysis of the Muller Anterolateral Femorotibial Ligament Reconstruction Using a Computerized Knee Model,” Am. J. Sports Med. , 14, pp. 371–375.
Li,  G., Kawamura,  K., Barrance,  P. J., and Chao,  E. Y. S., 1995, “Muscle Recruitment During Knee Isometric Extension Exercise,” Trans. Annu. Meet. — Orthop. Res. Soc., 41, p. 696.
O’Conner,  J. J., 1993, “Can Muscle Co-Contraction Protect Knee Ligaments After Injury?” J. Bone Joint Surg. Br., 75B, No. 1, pp. 41–48.
Shelburne,  K. B., and Pandy,  M., 1997, “A Musculoskeletal Model of the Knee for Evaluating Ligament Forces During Isometric Contractions,” J. Biomech., 30, No. 2, pp. 163–176.
Tumer,  S. T., and Engin,  A. E., 1993, “Three-Body Segment Dynamic Model of the Human Knee,” ASME J. Biomech. Eng., 115, pp. 350–356.
Wismans,  J., Veldpaus,  F., Janssen,  J., Huson,  A., and Struben,  P., 1980, “A Three-Dimensional Mathematical Model of the Knee Joint,” J. Biomech., 13, pp. 677–685.
Zavatsky,  A., and O’Connor,  J., 1993, “Ligament Forces at the Knee During Isometric Quadriceps Contractions,” Proc. Inst. Mech. Eng., 207, pp. 7–18.
Huiskes,  R., Kremers,  J., de Lange,  A., Woltring,  H. J., Selvik,  G., and Van Rens,  T. J. G., 1985, “Analytical Stereophotogrammetric Determination of Three-Dimensional Knee-Joint Geometry,” J. Biomech., 18, pp. 559–570.
Ateshian,  G. A., Kwak,  S. D., Soslowsky,  L. J., Grelsamer,  R. P., and Mow,  V. C., 1993, “Contact Area Measurements in Diarthrodial Joints: A Comparison With a New Stereophotogrammetry Method,” Trans. ORS, 39, p. 347.
Ateshian,  G. A., Rosenwasser,  M. P., and Mow,  V. C., 1992, “Curvature Characteristics and Congruence of the Thumb Carpometacarpal Joint,” J. Biomech., 25, pp. 591–608.
Cohen,  Z. A., McCarthy,  D. M., Ateshian,  G. A., Kwak,  S. D. , 1997, “In Vivo and in Vitro Knee Joint Cartilage Topography, Thickness, and Contact Areas From MRI,” Trans. Annu. Meet. — Orthop. Res. Soc., 22, p. 625.
Xu,  L., Cohen,  N. P., Roglic,  H., Roh,  M., Strauch,  R. J., Rosenwasser,  M. P., Ateshian,  G. A., and Mow,  V. C., 1998, “A Parametric Analysis of Laxity in the Thumb Carpometacarpal Joint,” Trans. Annu. Meet. — Orthop. Res. Soc., 23, p. 288.
Bendjaballah,  M. Z., Shirazi-Adl,  A., and Zukor,  D. J., 1995, “Biomechanics of the Human Knee Joint in Compression: Reconstruction, Mesh Generation and Finite Element Analysis,” The Knee, 2, pp. 69–79.
Haut,  T., Hull,  M., and Howell,  S., 1998, “A High-Accuracy Three-Dimensional Coordinate Digitizing System for Reconstructing the Geometry of Diarthrodial Joints,” J. Biomech., 31, pp. 571–577.
Beltran,  J., Caudill,  J. L., Herman,  L. A. , 1987, “Rheumatoid Arthritis: MR Imaging Manifestations,” Radiology, 165, pp. 153–157.
Mink,  J. H., and Deutsch,  A. L., 1989, “Occult Cartilage and Bone Injuries of the Knee: Detection, Classification, and Assessment With MR Imaging,” Radiology, 170, pp. 823–829.
Yulish,  B. S., Lieberman,  J. M., Strandjord,  S. E. , 1987, “Hemophilic Arthropathy: Assessment With MR Imaging,” Radiology, 164, pp. 759–762.
Chandnani,  V. P., Ho,  C., Chu,  P. , 1991, “Knee Hyaline Cartilage Evaluated With MR Imaging: A Cadaveric Study Involving Multiple Imaging Sequences and Intraarticular Injection of Gadolinium and Saline Solution,” Radiology, 178, pp. 557–561.
Cohen, Z. A., McCarthy, D. M., Ateshian, G. A., Kwak, S. D., et al.., 1997, “Knee Joint Cartilage Topography, Thickness and Contact Areas: Validation of Measurements From MRI,” Proc. Bioengineering Conference, ASME BED-Vol. 35, pp. 45–46.
Freeman,  D. M., Bergman,  G., and Glover,  G., 1997, “Short TE MR Microscopy: Accurate Measurement and Zonal Differentiation of Normal Hyaline Cartilage,” Magn. Reson. Med., 38, pp. 72–81.
Peterfy,  C. G., Van Dijke,  C. F., Janzen,  D. L. , 1994, “Quantification of Articular Cartilage in the Knee With Pulsed Saturation Transfer Subtraction and Fat-Suppressed MR Imaging: Optimization and Validation,” Radiology, 192, pp. 485–491.
Piplani,  M. A., Disler,  D. G., McCauley,  T. R. , 1996, “Articular Cartilage Volume in the Knee: Semi-Automated Determination for Three-Dimensional Reformations of MR Images,” Radiology, 198, pp. 855–859.
Solloway,  S., Hutchinson,  C. E., Waterton,  J. C., and Taylor,  C. J., 1997, “The Use of Active Shape Models for Making Thickness Measurements of Articular Cartilage From MR Images,” Magn. Reson. Med., 37, pp. 943–952.
Van Leersum,  M. D., Schweitzer,  M. E., Gannon,  F. , 1995, “Thickness of Patellofemoral Articular Cartilage as Measured on MR Imaging: Sequence Comparison of Accuracy, Reproducibility, and Interobserver Variation,” Skeletal Radiol., 24, pp. 431–435.
Li,  G., Gil,  J., and Woo,  S. L. Y., 1999, “A Validated Three-Dimensional Computational Model of a Human Knee Joint,” ASME J. Biomech. Eng., 121, pp. 657–662.
Butler,  D. L., Kay,  M. D., and Stouffer,  D. C., 1986, “Comparison of Material Properties in Fascicle–Bone Units From Human Patellar Tendon and Knee Ligaments,” J. Biomech., 19, No. 6, pp. 425–432.
Taylor,  S. J. G., Walker,  P. S., Perry,  J. S., Cannon,  S. R., and Woledge,  R., 1998, “The Forces in the Distal Femur and the Knee During Walking and Other Activities Measured by Telemetry,” J. Arthroplasty, 13, pp. 428–437.
Mak,  A. F., Lai,  W. M., and Mow,  V. C., 1987, “Biphasic Indentation of Articular Cartilage — I. Theoretical Analysis,” J. Biomech., 20, pp. 703–714.
Mow,  V., Ateshian,  G., and Spilker,  R., 1993, “Biomechanics of Diarthrodial Joints: A Review of Twenty Years of Progress,” ASME J. Biomech. Eng., 115, pp. 460–467.
ABAQUS, 1997, ABAQUS/Standard User’s Manual, Hibbitt, Karlsson & Sorensen, Inc.
Sutherland,  C. J., Bresina,  S. J., and Gayou,  D. E., 1994, “Use of General Purpose Mechanical Computer Assisted Engineering Software in Orthopedic Surgical Planning: Advantages and Limitations,” Comput. Med. Imaging Graph., 18, pp. 435–442.
Tieschky,  M., Faber,  S., Haubner,  M., Kolem,  H., Schulte,  E., Englmeier,  K. H., Reiser,  M., and Eckstein,  F., 1997, “Reproducibility of Patella Cartilage Thickness Patterns in the Living, Using a Fat-Suppressed MRI Sequence With Short Acquisition Time and Three-Dimensional Data Processing,” J. Orthop. Res., 18, pp. 808–813.
Anderson,  D. D., Brown,  T. D., and Radin,  E. L., 1993, “The Influence of Basal Cartilage Calcification on Dynamic Juxtaarticular Stress Transmission,” Clin. Orthop., 286, pp. 298–307.
Fukubayashi,  T., and Kurosawa,  H., 1980, “The Contact Area and Pressure Distribution Pattern of the Knee,” Acta Orthop. Scand., 51, pp. 871–879.
Kurosawa,  H., Fukubayashi,  T., and Nakajima,  H., 1980, “Load-Bearing Mode of the Knee Joint, Physical Behavior of the Knee With or Without Menisci,” Clin. Orthop., 149, pp. 283–290.
Donzelli,  P. S., Spilker,  R. L., Ateshian,  G. A., and Mow,  V. C., 1999, “Contact Analysis of Biphasic Transversely Isotropic Cartilage Layers and Correlations With Tissue Failure,” J. Biomech., 32, pp. 1037–1047.
Li,  G., Sakamoto,  M., and Chao,  E. Y. S., 1997, “A Comparison of Different Methods in Predicting Static Pressure Distribution in Articulating Joints,” J. Biomech., 30, pp. 635–638.
Mow,  V. C., Kuei,  S. C., Lai,  W. M., and Armstrong,  C. G., 1980, “Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments,” ASME J. Biomech. Eng., 102, pp. 73–84.
Athanasiou,  K. A., Rosenwasser,  M. P., Buckwalter,  J. A., Malinin,  T. I., and Mow,  V. C., 1991, “Interspecies Comparisons of In-Situ Intrinsic Mechanical Properties of Distal Femoral Cartilage,” J. Orthop. Res., 9, pp. 330–340.
Bylski-Austrow,  D. I., Ciarelli,  M. J., Kayner,  D. C., Matthews,  L. S., Goldstei,  S. A., 1994, “Displacements of the Menisci Under Joint Load: An in Vitro Study in Human Knees,” J. Biomech., 27, pp. 421–431.
Donahue, T. L., Hull, M. L., Rashid, M. S., and Jacobs, C. R., 2000, “Finite Element Model of the Knee to Study Tibio-Femoral Contact Mechanics,” Advances in Bioengineering, T. Conway, ed., ASME BED-Vol. 49, pp. 155–156.
Ganley,  T, Arnold,  C, McKernan,  D, Gregg,  J., and Cooney,  T., 2000, “The Impact of Loading on Deformation About Posteromedial Meniscal Tears,” Orthopedics, 23, No. 6, pp. 597–601.
Spilker,  R. L., Donzelli,  P. S., and Mow,  V. C., 1992, “A Transversely Isotropic Biphasic Finite Element Model of the Meniscus,” J. Biomech., 25, pp. 1027–1045.
Zhang, H., Totterman, S., Perucchio, R., and Lerner, A. L., 1999, “Magnetic Resonance Image Based Three-Dimensional Poroelastic Finite Element Model of Tibio-Menisco-Femoral Contact,” Proc. Annual Meeting of American Society of Biomechanics, Vol. 23, Pittsburgh, PA.
Zhang, H., Totterman, S. M. S., Perucchio, R., and Lerner, A. E., 2000, “Motion of the Meniscus During Passive Knee Flexion Predicted by a Three-Dimensional Finite Element Model Based on MR Imaging,” Advances in Bioengineering, T. Conway, ed., ASME BED-Vol. 49, pp. 161–162.

Figures

Grahic Jump Location
(a) A typical sagittal plane MR image of the knee and (b) the digitized contours of the cartilage boundaries. The curves are cartilage contours constructed using the mean values of the digitized data.
Grahic Jump Location
The finite element cartilage model of the knee constructed using MR images. The femoral and tibial cartilage are modeled using three-dimensional solid bodies.
Grahic Jump Location
Peak von Mises stresses predicted by the five FE models under axial tibial loads with a Young’s modulus of 5 MPa and a Poisson’s ratio of 0.45
Grahic Jump Location
Variation of von Mises stress, surface pressure, and hydrostatic pressure caused by changes in material properties. (a) Young’s modulus varies with a constant Poisson’s ratio 0.45. (b) Poisson’s ratio varies with a constant Young’s modulus 5 MPa. These variations are compared with those obtained by using a Young’s modulus of 5 MPa and Poisson’s ratio of 0.45.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In