Calculation of the Forces Acting on the Knee Joint When Rising from Kneeling Positions (Effects of the Leg Alignment and the Arm Assistance on the Knee Joint Forces)

Authors: S. Hirokawa, M. Fukunaga, M. Mawatari

Abstract:

Knee joint forces are available by in vivo measurement using an instrumented knee prosthesis for small to moderate knee flexion but not for high flexion yet. We created a 2D mathematical model of the lower limb incorporating several new features such as a patello-femoral mechanism, a thigh-calf contact at high knee flexion and co-contracting muscles' force ratio, then used it to determine knee joint forces arising from high knee flexions in four kneeling conditions: rising with legs in parallel, with one foot forward, with or without arm use. With arms used, the maximum values of knee joint force decreased to about 60% of those with arms not used. When rising with one foot forward, if arms are not used, the forward leg sustains a force as large as that sustained when rising with legs parallel.

Keywords: Knee joint force, kneeling, mathematical model, biomechanics.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329200

References:

[1] D. D. D'Lima, S. Patil, N. Steklov, S. Chien, C. W. Colwell, "In vivo knee moments and shear after total knee arthroplasty," J.Biomech., vol. 40, s11-s17, Apr. 2007.
[2] I. Kutzner, B. Heinlein, F. Graichen, A. Bender, A. Rohlmann, A. Halder, et al., "Loading of the knee joint during activities of daily living measured in vivo in five subjects," J.Biomech., vol. 43, pp.2164-2173, Aug. 2010.
[3] N. J. Dahlkvist, P. Mayo, B. B. Seedhom, "Forces during squatting and rising from a deep squat," Eng. in Med., vol. 11, pp.69-76, Apr. 1982.
[4] T. Nagura, H. Matsumoto, Y. Kiriyama, A. Chaudharl, T. P. Andriacchi, "Tibiofemoral joint contact force in deep knee flexion and its consideration in knee osteoarthritis and joint replacement," J Applied Biomech., vol. 22, pp.305-313, Apr. 2006.
[5] S. M. Smith, R. A. Cockburn, A. Hemmerich, R. M. Li, U. P. Wyss, "Tibiofemoral joint contact forces and knee kinematics during squatting," Gait & Posture., vol. 27, pp.376-38, Apr. 2008.
[6] N. Zheng, G. S. Fleisig, R. F. Escamilla, S. W. Barrentine, "An analytical model of the knee for estimation of internal forces during exercise," J.Biomech., vol. 31, pp.963-967, Oct. 1998.
[7] H. H. Huberti, W. C. Hayes, J. L. Stone, G. T. Shybut, "Force ratios in the quadriceps tendon and ligamentum patellae," J.Orthop. Rel. Res., vol. 2, pp.49-54, Janu. 1984.
[8] G. M. Powers, Y-J. Chen, I. Scher, T. Q. Lee, "The influence of patellofemoral joint contact geometry on the modeling of three dimensional patellofemoral joint forces," J.Biomech., vol. 39, pp.2783-2791, Dec. 2006.
[9] T. M. G. I. Van Eijden, E. Kouwenhoven, J. Verburg, W. A. Weijs, "A mathematical model of the patellar femoral joint," J.Biomech., vol. 19, pp.219-229, Mar. 1986.
[10] J. Zelle, M. Barink, D. W. Malefijt, N. Verdonschot, "Thigh-calf contact: Does it affect the loading of the knee in the high-flexion range?," J.Biomech., vol. 42, pp.587-593, Mar. 2009.
[11] R. A. Brand, D. R. Pedersen, J. A. Friederich, "The sensitivity of muscle force predictions to changes in physiologic cross-sectional area," J.Biomech., vol. 19, pp.589-596, Aug. 1986.
[12] G. N. Duda, D. Brand, S. Freitag, W. Lierse, F. Schneider, "Variablity of femoral muscle attachments," J.Biomech., vol.29, pp.1185-1190, Sep. 1996.
[13] M. Ikai, and T. Fukunaga, "Calculation of muscle strength per unit cross-sectional area of human muscle by means of ultrasonic measurement," Int. Z. angew. Physiol. einschl. Arbeitphysiol, vol. 26, pp.26-32, Mar. 1968.
[14] C. E. Clauser, J. T. McConville, J. W. Young, "Weight, volume, and center of mass of segments of the human body," National Technical Information Service 60, Aug. 1969, pp.1-101.
[15] S. M. Acker, R. A. Cockburn, J. Krevolin, R. M. Li, S. Tarabichi, U. P. Wyss, "Knee kinematics of high-flexion activities of daily living performed by male Muslims in the middle east," J.Arthroplasty, vol. 26, pp.319-327, Feb. 2011.
[16] S. Nakagawa, Y. Kadoya, A. Kobayashi, I. Tatsumi, N. Nishida, Y. Yamano, "Kinematics of the patella in deep flexion: Analysis with magnetic resonance imaging," J Bone Joint Surg., vol. 85, pp.1238-1242, July 2003.
[17] M Kumamoto, T. Oshima, T. Fujikawa, "Control properties of a two-joint link mechanism equipped with mono- and bi-articular actuators (Published Conference Proceedings style)," in Proc. The Workshop on Robot and Human Interface Communication, September, Osaka, Japan, Sept. 2000.