A mathematical model of the patello-femoral joint was introduced to investigate the impact of the vastus medialis (longus, obliquus) forces on the lateral contact force levels. In the model, the quadriceps were represented as five separate forces: vastus lateralis, vastus intermedius, rectus femoris, vastus medialis longus (VML), and obliquus (VMO). By varying the relative force generation ratios of the quadriceps heads, the patello-femoral contact forces were estimated. We sought to analytically determine the range of forces in the VMO and VML that cause a reduction or an increase of lateral contact forces, often the cause of patello-femoral pain. Our results indicated that increased contact forces are more dependent on combinations of muscle forces than solely VMO weakness. Moreover, our simulation data showed that the contact force levels are also highly dependent on the knee flexion angle. These findings suggest that training targeted to reduce contact forces through certain joint angles could actually result in a significant increase of the contact forces through other joint angles.
1.
Farahmand
, F.
, Tahmasbi
, M. N.
, and Amis
, A. A.
, 1998
, “Lateral Force-displacement Behavior of the Human Patella and its Variation With Knee Flexion—A Biomechanical Study in Vitro
,” J. Biomech.
, 31
(12
), pp. 1147
–1152
.2.
Conlan
, T.
, Garth
, W. P.
Jr., and Lemons
, J. E.
, 1993
, “Evaluation of the Medial Soft-tissue Restraints of the Extensor Mechanism of the Knee
,” J. Bone Jt. Surg., Am. Vol.
, 75
(5
), pp. 682
–693
.3.
Heegaard
, J.
, Leyvraz
, P. F.
, Van Kampen
, A.
, Rakotomanana
, L.
, Rubin
, P. J.
, and Blankevoort
, L.
, 1994
, “Influence of Soft Structures on Patellar Three-dimensional Tracking
,” Clin. Orthop.
, 299
, pp. 235
–243
.4.
Ahmed
, A. M.
, Burke
, D. L.
, and Yu
, A.
, 1983
, “In-vitro Measurement of Static Pressure Distribution in Synovial Joints—Part II: Retropatellar Surface
,” J. Biomech. Eng.
, 105
(3
), pp. 226
–236
.5.
Huberti
, H. H.
, and Hayes
, W. C.
, 1984
, “Patellofemoral Contact Pressures. The Influence of q-angle and Tendofemoral Contact
,” J. Bone Jt. Surg., Am. Vol.
, 66
(5
), pp. 715
–724
.6.
Farahmand
, F.
, Senavongse
, W.
, and Amis
, A. A.
, 1998
, “Quantitative Study of the Quadriceps Muscles and Trochlear Groove Geometry Related to Instability of the Patellofemoral Joint
,” J. Orthop. Res.
, 16
(1
), pp. 136
–143
.7.
Goh
, J. C.
, Lee
, P. Y.
, and Bose
, K.
, 1995
, “A Cadaver Study of the Function of the Oblique Part of Vastus Medialis
,” J. Bone Joint Surg. Br.
, 77
(2
), pp. 225
–231
.8.
Hirokawa
, S.
, 1992
, “Effects of Variation on Extensor Elements and Operative Procedures in Patellofemoral Disorders
,” J. Biomech.
, 25
(12
), pp. 1393
–1401
.9.
Sakai
, N.
, Luo
, Z. P.
, Rand
, J. A.
, and An
, K. N.
, 1996
, “In Vitro Study of Patellar Position During Sitting, Standing From Squatting, and the Stance Phase of Walking
,” Am. J. Knee Surg.
9
(4
), pp. 161
–166
.10.
van Kampen
, A.
, and Huiskes
, R.
, 1990
, “The Three-dimensional Tracking Pattern of the Human Patella
,” J. Orthop. Res.
, 8
(3
), pp. 372
–382
.11.
Lieb
, F. J.
, and Perry
, J.
, 1968
, “Quadriceps Function. An Anatomical and Mechanical Study Using Amputated Limbs
,” Bone Joint Surg., Am., Vol.
, 50
(8
), pp. 1535
–1548
.12.
Bose
, K.
, Kanagasuntheram
, R.
, and Osman
, M. B. H.
, 1980
, “Vastus Medialis Oblique: An Anatomic and Physiologic Study
,” Orthopedics
, 3
, pp. 880
–883
.13.
Galtier
, B.
, Buillot
, M.
, and Vanneuville
, G.
, 1995
, “Anatomical Basis of the Role of Vastus Medialis Muscle in Femoro-patellar Degenerative Arthropathy
,” Surg. Radiol. Anat.
, 17
(1
), pp. 7
–11
.14.
Hirokawa
, S.
, 1991
, “Three-dimensional Mathematical Model Analysis of the Patellofemoral Joint
,” J. Biomech.
, 24
(8
), pp. 659
–671
.15.
Hefzy
, M. S.
, and Yang
, H.
, 1993
, “A Three-dimensional Anatomical Model of the Human Patello-femoral Joint, for the Determination of Patello-femoral Motions and Contact Characteristics
,” J. Biomed. Eng.
, 15
(4
), pp. 289
–302
.16.
Grood
, E. S.
, and Suntay
, W. J.
, 1983
, “A Joint Coordinate System for the Clinical Description of Three-dimensional Motions: Application to the Knee
,” J. Biomech. Eng.
, 105
(2
), pp. 136
–144
.17.
Kadaba
, M. P.
, Ramakrishnan
, H. K.
, and Wootten
, M. E.
, 1990
, “Measurement of lower extremity kinematics during level walking
,” J. Orthop. Res.
, 8
(3
), pp. 383
–392
.18.
Kinzel
, G. L.
, Hall
, Jr., A. S.
, and Hillberry
, B. M.
, 1972
, “Measurement of the Total Motion Between Two Body Segments. I. Analytical Development
,” J. Biomech.
, 5
(1
), pp. 93
–105
.19.
Dhaher
, Y. Y.
, Delp
, S. L.
, and Rymer
, W. Z.
, 2000
, “The Use of Basis Functions in Modeling of Joint Articular Surfaces: Application to the Knee Joint
,” J. Biomech.
, 33
, pp. 901
–909
.20.
Gill, P. E., Murray, W., and Wright, M. H., 1981, Practical Optimization, Academic Press, New York.
21.
Sheehan, F. T., A Non-Invasive, In Vivo Study of the Patella Using Cine Phase Contrast Magnetic Resonance Imaging: 3D Kinematics and Tendon Strain, in Department of Mechanical Engineering. 1997, Stanford University: Palo Alto, CA. p. 104.
22.
Delp
, S. L.
, and Loan
, J. P.
, 1995
, “A Graphics-based Software System to Develop and Analyze Models of Musculoskeletal Structures
,” Comput. Biol. Med.
, 25
(1
), pp. 21
–34
.23.
Wismans
, J.
, Veldpaus
, F.
, Janssen
, J.
, Huson
, A.
, and Struben
, P.
, 1980
, “A Three-dimensional Mathematical Model of the Knee-joint
,” J. Biomech.
, 13
(8
), pp. 677
–685
.24.
Scherrer
, P. K.
, and Hillberry
, B. M.
, 1979
, “Piecewise Mathematical Representation of Articular Surfaces
,” J. Biomech.
, 12
(4
), pp. 301
–311
.25.
Hart
, W. B.
, 1974
, “Computer Graphics Aid Fuselage Design
,” Engng. Mat. Des. Inst.
, pp.
205
–209
.26.
Almond
, D. B.
, 1971
, “Numerical Control for Machining Complex Surfaces
,” IBM Systems Journal
, 10
, pp. 150
–168
.27.
Timoshenko, S. P., and Goodier, J. N., 1987, Theory of Elasticity. Third ed, McGraw-Hill, New York.
28.
Shigley, J. E., 1986, Mechanical Engineering Design, Mechanical Engineering Series, McGraw-Hill, New York.
29.
Wu, J. 2001, “An Analytical Method for Rolling Contact of Articular Cartilages in Diarthrodial Joint,” in 23rd Annual Meeting of the IEEE-EMBS. 2001, Istanbul, Turkey.
30.
Ateshian
, G. A.
, and Wang
, H.
, 1995
, “A Theoretical Solution for the Frictionless Rolling Contact of Cylindrical Biphasic Articular Cartilage Layers
,” J. Biomech.
, 28
(11
), pp. 1341
–1355
.31.
Thiranagama
, R.
, 1990
, “Nerve Supply of the Human Vastus Medialis Muscle
,” J. Anat.
, 170
, pp. 193
–198
.32.
Weh
, L.
, Eickhoff
, W.
, and Prahl
, R.
, 1987
, “Mediolaterale Quadrizepsdysbalance und peripatellares Schmerzsyndrom
,” Z. Orthop. Ihre Grenzgeb
, 125
(1
), pp. 48
–53
.33.
Weh
, L.
, and Eickhoff
, W.
, 1983
, “Innervationsstorungen des Musculus quadriceps bei Chondropathia patellae. Eine kritische Revision des gultigen Chondropathia-Konzeptes
,” Z. Orthop. Ihre Grenzgeb
, 121
(2
), pp. 171
–176
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