Theoretical considerations on cocontraction of sets of agonistic and antagonistic muscles

Journal of Biomechanics

Volumn 33, Issue 9, 2000, Pages 1105-1111

  Ait Haddou, R ^a   Herzog, W ^a   Binding, P ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b Department of Mathematics and Statistics ^*  (Canada)

Author keywords

Force sharing; Karush Kuhn Tucker conditions; Multi joint muscles; Muscle redundancy; Optimization

Indexed keywords

JOINTS (ANATOMY); MATHEMATICAL MODELS; MUSCLE; OPTIMIZATION; PHYSIOLOGICAL MODELS; STRESS ANALYSIS;

KARUSH-KUHN-TUCKER CONDITIONS; MULTI-JOINT MUSCLES; MUSCLE REDUNDANCY;

BIOMECHANICS;

ARTICLE; ENDURANCE; MATHEMATICAL MODEL; MUSCLE CONTRACTION; MUSCLE FORCE; MUSCLE ISOMETRIC CONTRACTION; MUSCLE LENGTH; PRIORITY JOURNAL; THEORY;

ANIMALS; HUMANS; JOINTS; MODELS, BIOLOGICAL; MUSCLE CONTRACTION; MUSCLE, SKELETAL; MUSCULOSKELETAL SYSTEM;

EID: 0034286985     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(00)00085-3     Document Type: Article

References (25)

1. Abraham L.D., Loeb G.E. The distal hindlimb musculature of the cat (patterns of normal use). Experimental Brain Research. 58:1985;580-593.
2. Ando T. Total positive matrices. Linear Algebra and its Applications. 90:1987;165-219.
3. Andrews J.G. The functional role of the hamstrings and quadriceps during cycling: Lombard's paradox revisited. Journal of Biomechanics. 20:1987;565-575.
4. Basmajian J.V., De Luca C.J. Muscles Alive. 1985;Williams & Wilkins, Baltimore.
5. Crowninshield R.D. Use of optimization techniques to predict muscle forces. Journal of Biomechanical Engineering. 100:1978;88-92.
6. Crowninshield R.D., Brand R.A. A physiologically based criterion of muscle force prediction in locomotion. Journal of Biomechanics. 14:1981;793-802.
7. Dul J., Towsend M.A., Shiavi R., Johnson G.E. Muscular synergism - I. On criteria for load sharing between synergistic muscles. Journal of Biomechanics. 17:1984;663-673.
8. Gregor R.J., Cavanagh P.R., Lafortune M. Knee flexor moments during propulsion in cycling-a creative solution to Lombard's Paradox. Journal of Biomechanics. 18:1985;307-316.
9. Gross-Lodermann H., Muller E.A. Der Einfluss der Leistung und der Arbeitsgeschwindigkeit auf das Arbeitsmaximum und den Wirkungsgrad beim Radfahren. Arbeitsphysiologie. 9:1937;454-475.
10. Gunnar T. Assessment of physical capabilities. Acta Physiologica Scandinavica. 58:1963;5-102.
11. Hatze H. A complete set of control equations for the human musculoskeletal system. Journal of Biomechanics. 10:1977;799-805.
12. Herzog W., Binding P. Predictions of antagonistic muscular activity using nonlinear optimization. Mathematical Biosciences. 111:1992;217-229.
13. Herzog W., Binding P. Cocontraction of pairs of antagonistic muscles: analytical solution for planar static nonlinear optimization approaches. Mathematical Biosciences. 118:1993;83-95.
14. Herzog W., Leonard T.R. Validation of optimization models that estimate the forces exerted by synergistic muscles. Journal of Biomechanics. 24(Suppl. 1):1991;31-39.
15. Herzog W., Leonard T.R., Guimaraes A.C.S. Forces in gastrocnemius, soleus and plantaris muscles of the freely moving cat. Journal of Biomechanics. 26:1993;945-953.
16. Hodgson, J.A., 1983. The relationship between soleus and gastrocnemius muscle activity in conscious cats - a model for motor unit recruitment? Journal of Physiology 337, 553-562.
17. Hughes R.E., Chaffin D.B. Conditions under which optimization models will not predict coactivation of antagonist muscles. Proceedings of American Society of Biomechanics. 12:1988;69-70.
18. Kaijser L. Limiting factors for aerobic muscle performance - the influence on varying oxygen pressure and temperature. Acta Physiologica Scandinavica. 346:1970;5-95.
19. Penrod D.D., Davy D.T., Singh D.P. An optimization approach to tendon force analysis. Journal of Biomechanics. 7:1974;123-129.
20. Prilutsky, B.I., Isaka, T., Albrecht, A.M., Gregor, R.J., 1998. Is coordination of two-joint leg muscles during lifting consistent with the strategy of minimum fatigue? Journal of Biomechanics 31, 1025-1034.
21. Seireg S.A., Arvikar R.J. A mathematical model for evaluation of force in lower extremities of the muskuloskeletal system. Journal of Biomechanics. 6:1973;313-326.
22. Smith J.L., Betts B., Edgerton V.R., Zernicke R.F. Rapid ankle extension during paw shakes: selective recruitment of fast ankle extensors. Journal of Neurophysiology. 43:1980;612-620.
23. Walmsley B., Hodgson J.A., Burke R.E. Forces produced by medial gastrocneumius and soleus muscles during locomotion in freely moving cats. Journal of Neurophysiology. 41:1978;1203-1216.
24. Weber W., Weber E. Mechanik der menschlichen Gehwerkzeuge. 1836;W. Fischer-Verlag, Goettingen, West Germany.
25. Wismer D.A., Chattergy R. Introduction to Nonlinear Optimization, A Problem Solving Approach. North-Holland Series. 1979;North-Holland, Amsterdam.