View Full Version : Re: Surface contact of the knee joint

Ahmet Erdemir
09-01-1998, 06:01 PM
On Tue, 1 Sep 1998, Chung-huang YU wrote:

> Hi,
> I am wondering whether someone out there can help me.
> I have project which aims to model the 3D knee joint as realistic as
> possible: 3D artificulation surfaces, ligaments, muscles with wrapping
> points, patella, etc. I want to calculate the contact point and contact
> forces once the muscle activations are specified.
> I would think there are 6 d.o.f in the knee, and due to the constraints
> of muscle forces, ligaments, etc., the joint angle and contact points
> would be determined. My difficulty is how to device a surface contact
> algorithm for this task and how to do it, via a commerical package, or
> programming in C? Another difficulty is that the soft tissues wrap
> around the the bones, so the line of action is changeing during motion.
> Are there any packages avaiable or any reference papers for these
> probelms?


I just finished my Master thesis related with the three-dimensional
modelling of the human knee joint. I don't know if you are trying to built
a dynamic model or a static model, and I am not sure if you model the
contact between the bones as rigid and deformable, but the references
below may help you to develop a model in either case.

ODTU, ICHMT, Mak. Muh. Bol.
06531, Ankara, TURKEY
phone: +90 312 210 2541
fax: +90 312 210 1331
e-mail: erdemir@fiesta.me.metu.edu.tr


Abdel-Rahman, E. (1995) Three-dimensional dynamic anatomically based model
of the human tibio-femoral joint. PhD dissertation. Dept. of Mech. Eng.,
Univ. of Toledo, Toledo, OH, USA.

Abdel-Rahman, E., Hefzy, M. S. (1993) A two-dimensional anatomical model
of the human knee joint. J. Biomech. Eng. 115, 357-365.

An, K. N., Himeno, S., Tsumura, H., Kawai, T., Chao, E. Y. S. (1990)
Pressure distribution on articular surfaces: application to joint
stability evaluation. J. Biomechanics 23, 1013-1020.

Andriacchi, T. P., Mikosz, R. P., Hampton, S. J., Galante, J. O. (1983)
Model studies of the stiffness characteristics of the human knee joint. J.
Biomechanics 16, 23-29.

Ateshian, G. A. (1993) A B-spline least-squares surface-fitting method for
articular surfaces of diarthrodial joints. J. Biomech. Eng. 115, 366-373.

Bendjaballah, M. Z., Shirazi-Adl, A., Zukor, D. J. (1995) Biomechanics of
the human knee in compression: Reconstruction, mesh generation and finite
element analysis. The Knee 2, 69-79.

Beynnon, B., Yu, J., Huston, D., Fleming, B., Johnson, R., Haugh, L.,
Pope, M. H. (1996) A sagittal plane model of the knee and cruciate
ligaments with application of a sensitivity analysis. J. Biomech. Eng.
118, 227-239.

Blankevoort, L. (1991) Passive motion characteristics of the human knee
joint: experiments and computer simulations. PhD dissertation, University
of Nijmegen, Nijmegen, The Netherlands.

Blankevoort, L., Huiskes, R. (1991) Ligament-bone interaction in a
three-dimensional model of the knee. J. Biomech. Eng. 113, 263-269.

Blankevoort, L., Huiskes, R., de Lange, A. (1988) The envelope of passive
knee-joint motion. J. Biomechanics 21, 705-720.

Blankevoort, L., Huiskes, R., de Lange, A. (1990) Helical axes of passive
knee-joint motions. J. Biomechanics 23, 1219-1229.

Blankevoort, L., Huiskes, R., Kuiper, J. H., Grootenboer, H. J. (1991a)
Articular contact in a three-dimensional model of the knee. J.
Biomechanics 24, 1019-1031.

Blankevoort, L., Huiskes, R., de Lange, A. (1991b) Recruitment of
knee-joint ligaments. J. Biomech. Eng. 113, 94-103.

Butler, D. L., Noyes, F. R., Grood, E. S. (1980) Ligamentous restraints to
anterior-posterior drawer in the human knee. J. Bone Jt. Surgery 62A,

Crowninshield, R., Pope, M. H., Johnson, R. J. (1976) An analytical model
of the knee. J. Biomechanics 9, 397-405.

Engin, A. E., Moeinzadeh, M. H. (1982) Modeling of human joint structures.
AFAMRL Report, AFAMRL-TR-81-117.

Engin, A. E., T|mer S. T. (1993) Improved dynamic model of the human knee
joint and its response to impact loading on the lower leg. J. Biomech.
Eng. 115, 137-143.

Essinger, J. R., Leyvraz, P. F., Heegard, J. H., Robertson, D. D. (1989) A
mathematical model for the evaluation of the behaviour during flexion of
condylar-type knee prostheses. J. Biomechanics 22, 1229-1241.

Garg, A., Walker, P. S. (1990) Prediction of total knee motion using a
three-dimensional computer-graphics model. J. Biomechanics 23, 45- 58.

Grood, E. S., Hefzy, M. S. (1982) An analytical technique for modeling
joint stiffness. Part I: Ligamentous forces. J. Biomech. Eng. 104,

Grood, E. S., Suntay, W. J. (1983) A joint coordinate system for the
clinical description of three-dimensional motions: application of the
knee. J. Biomech. Eng. 105, 136-144.

Heegaard, J., Leyvraz, P. F., Curnier, A., Rakotomanana, L., Huiskes, R.
(1995) The biomechanics of the human patella during passive knee flexion.
J. Biomechanics 28, 1265-1279.

Hefzy, M. S., Cooke, T. D. V. (1996) Review of knee models: 1996 update.
Appl. Mech. Rev. 49, 187-193.

Hefzy, M. S., Grood, E. S. (1983) An analytical technique for modeling
joint stiffness. Part II: Ligamentous geometric nonlinearities. J.
Biomech. Eng. 105, 145-153.

Hefzy, M. S., Grood, E. S. (1988) Review of knee models. Appl. Mech. Rev.
41, 1-13.

Hirokawa, S. (1991) Three-dimensional mathematical model analysis of the
patellofemoral joint. J. Biomechanics 24, 659-671.

Hsieh, H. H., Walker, P. S. (1976) Stabilizing mechanisms of the loaded
and unloaded knee joint. J. Bone Jt. Surgery 58A, 87-93.

Kurasawa, H., Walker, P. S., Abe, S., Garg, A., Hunter, T. (1985) Geometry
and motion of the knee for implant and orthotic design. J. Biomechanics
18, 487-499.

Lafortune, M. A., Cavanagh, P. R., Sommer III, H. J., Kalenak, A. (1992)
Three-dimensional kinematics of the human knee during walking. J.
Biomechanics 25, 347-357.

Loch, D. A., Luo, Z., Lewis, J. L., Stewart, N. J. (1992) A theoretical
model of the knee and ACL: theory and experimental verification. J.
Biomechanics 25, 81-90.

Markolf, K. L., Bargar, W. L., Shoemaker, S. C., Amstutz, H. C. (1981) The
role of joint load in knee stability. J. Bone Jt. Surgery 63A, 570-585.

Markolf, K. L., Graff-Radford, A., Amstutz, H. C. (1978) In vivo knee
stability. A quantitative assessment using an instrumented clinical
testing apparatus. J. Bone Jt. Surgery 60A, 664-674.

Markolf, K. L., Gorek, J. F., Kabo, M., Shapiro, M. S. (1990) Direct
measurement of resultant forces in the anterior cruciate ligament. J. Bone
Jt. Surgery 72A, 557-567.

Markolf, K. L., Kochan, A., Amstutz, H. C. (1984) Measurement of knee
stiffness and laxity with documented absence of the anterior cruciate
ligament. J. Bone Jt. Surgery 66A, 242-252.

Markolf, K. L., Mensch, J. S., Amstutz, H. C. (1976) Stiffness and laxity
of the knee - the contribution of the supporting structures. A
quantitative in vitro study. J. Bone Jt. Surgery 58A, 583-594.

Martelli, S. (1997) Istituti Ortopedici Rizzoli, Laboratorio di
Biomeccanica, Bologna, Italy, private communication on internet.

Moeinzadeh, M. H., Engin, A. E., Akkas, N. (1983) Two-dimensional dynamic
modelling of human knee joint. J. Biomechanics 16, 253-264.

Mommersteeg, T. J. A., Blankevoort, L., Huiskes, R., Koolos, J. G. M.,
Kauer, J. M. G. (1996a) Characterization of the mechanical behavior of
human knee ligaments: a numerical-experimental approach. J. Biomechanics
29, 151-160.

Mommersteeg, T. J. A., Huiskes, R., Blankevoort, L., Koolos, J. G. M.,
Kauer, J. M. G., Maathuis, P. G. M. (1996b) A global verification study of
a quasi-static knee model with multi-bundle ligaments. J. Biomechanics 29,

Morrison, J. B. (1970) The mechanics of the knee joint in relation to
normal walking. J. Biomechanics 3, 51-61.

Pandy, M. G., Shelburne, K. B. (1997) Dependence of cruciate-ligament
loading on muscle forces and external load. J. Biomechanics 30, 1015-1024.

Pennock, G. R., Clark, K. J. (1990) An anatomy based coordinate system for
the description of the kinematic displacements in the human knee. J.
Biomechanics 23, 1209-1218.

Piziali, R. L., Seering, W. P., Nagel, D. A., Schurman, D. J. (1980) The
function of the primary ligaments of the knee in anterior-posterior and
medial-lateral motions. J. Biomechanics 13, 777-784.

Press, W. H., Teukolsky, S. A., Vetterling, W. T. (1993) Numerical recipes
in C: The art of scientific computing. Cambridge University Press,

Sathasivam, S., Walker, P. S. (1997) A computer model with surface
friction for the prediction of total knee kinematics. J. Biomechanics 30,

Seirig, A., Arvikar, R. J. (1975) The prediction of muscular load sharing
and joint forces in the lower extremities during walking. J. Biomechanics
8, 89-102.

Shelburne, K. B., Pandy, M. G. (1997) A musculoskeletal model of the knee
for evaluating ligament forces during isometric contractions. J.
Biomechanics 30, 163-176.

Shirazi-Adl, A., Jilani, A., Bendjaballah, M. Z. (1998) Passive response
computation of tibiofemoral knee joint in internal/external torques.
Integrated Design and Process Technology IDPT-1, 13-18.

T|mer, S. T., Engin, A. E. (1993) Three-body segment dynamic model of the
human knee. J. Biomech. Eng. 115, 350-356.

Van Eijden, T. M. G. J., Kouwenhoven, E., Verburg, J., Weijs, W. A.
(1986), Mathematical model of the patello-femoral joint. J. Biomechanics
19, 219-229.

Walker, P. S., Rovick, J. S., Robertson, D. D. (1988) The effects of knee
brace hinge design and placement on joint mechanics. J. Biomechanics 21,

Wang, C-J., Walker, P. S. (1973) The effects of flexion and rotation on
the length patterns of the ligaments of the knee. J. Biomechanics 6,

Wang, C.-J., Walker, P. S. (1974) Rotatory laxity of the human knee joint.
J. Bone Jt. Surgery 56A, 161-170.

Wilson, D. R., O'Connor, J. J. (1997) A three-dimensional geometric model
of the knee for the study of joint forces in gait. Gait & Posture 5,

Winter, D. A. (1990) Biomechanics and motor control of human movement,
Second Edition, New York, John Wiley & Sons.

Wismans, J. (1980) A three-dimensional mathematical model of the human
knee joint. PhD dissertation, Eindhoven University of Technology,
Eindhoven, The Netherlands.

Wismans, J., Veldpaus, F., Janssen, J., Huson, A., Struben, P. (1980) A
three-dimensional mathematical model of the knee-joint. J. Biomechanics
13, 677-685.

Wongchaisuwat, C., Hemami, H., Buchner, H. J. (1984) Control of sliding
and rolling at natural joints. J. Biomech. Eng. 106, 368-375.

Yamaguchi, G. T., Zajac, F. E. (1989) A planar model of the knee joint to
characterize the knee extensor mechanism. J. Biomechanics 22, 1-10.

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