Analyses of Muscle Force Predictions Based on Optimization

Static-optimization is one method of estimating individual muscle forces produced during a given movement. In the past, the resulting optimization problem as been solved analytically to study specific properties of individual muscle force predictions when using a non-linear optimization algorithm. However, no framework for analyzing the general properties of muscle force predictions is available. The purpose of this thesis was to develop and apply a general framework for analyzing individual muscle force predictions using non-linear optimization. We show here that non-linear optimization can predict experimentally observed forcesharing loops and that there is a "hyper-plane" that separates the moment-arm vectors of active and passive muscles. It is also shown that this approach is valid for both planar and three-dimensional systems. This thesis comprises a purely theoretical analysis of the force-sharing problem in biomechanics. Future work should include developing specific experiments to test the general force-sharing predictions found here, theoretically.

Year	Entry
2001	Anderson FC, Pandy MG. Static and dynamic optimization solutions for gait are practically equivalent. J Biomech. February 2001;34(2):153-161.
2001	Rasmussen J, Damsgaard M, Voigt M. Muscle recruitment by the min/max criterion: a comparative numerical study. J Biomech. March 2001;34(3):409-415.
1986	Brand RA, Pedersen DR, Friederich JA. The sensitivity of muscle force predictions to changes in physiologic cross-sectional area. J Biomech. 1986;19(8):589-596.
1984	An KN, Kwak BM, Chao EY, Morrey BF. Determination of muscle and joint forces: a new technique to solve the indeterminate problem. J Biomech Eng. November 1984;106(4):364-367.
1974	Penrod DD, Davy DT, Singh DP. An optimization approach to tendon force analysis. J Biomech. March 1974;7(2):123-129.
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Year

Entry

2001

Anderson FC, Pandy MG. Static and dynamic optimization solutions for gait are practically equivalent. J Biomech. February 2001;34(2):153-161.

2001

Rasmussen J, Damsgaard M, Voigt M. Muscle recruitment by the min/max criterion: a comparative numerical study. J Biomech. March 2001;34(3):409-415.

1986

Brand RA, Pedersen DR, Friederich JA. The sensitivity of muscle force predictions to changes in physiologic cross-sectional area. J Biomech. 1986;19(8):589-596.

1984

An KN, Kwak BM, Chao EY, Morrey BF. Determination of muscle and joint forces: a new technique to solve the indeterminate problem. J Biomech Eng. November 1984;106(4):364-367.

1974

Penrod DD, Davy DT, Singh DP. An optimization approach to tendon force analysis. J Biomech. March 1974;7(2):123-129.