Sensitivity of muscle force estimations to changes in muscle input parameters using nonlinear optimization approaches

Herzog, Walter

Affiliations

¹Human Performance Laboratory, Faculty of Physical Education, The University of Calgary, Calgary, Alberta, T2N 1N4 Canada

Abstract

The purpose of this study was to analyze the sensitivity of muscle force calculations to changes in muscle input parameters. Force sharing between two synergistic muscles was derived analytically for a one-degree-of-freedom system using three nonlinear optimization approaches. Changes in input parameters that are within normal anatomical variations often caused changes in muscular forces exceeding 100 percent. These results indicate that errors in muscle force calculations may depend as much on inadequate muscle input parameters as they may on the choice of the objective and constraint functions of the optimization approach.

Links

DOI: 10.1115/1.2891382

PubMed: 1602772

WoS: A1992HW42100017

History

Received: 1989-06-13

Revised: 1991-09-10

Cited Works (8)

Year	Entry
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.
1981	Crowninshield RD, Brand RA. A physiologically based criterion of muscle force prediction in locomotion. J Biomech. 1981;14(11):793-801.
1984	Dul J, Johnson GE, Shiavi R, Townsend MA. Muscular synergism, II: a minimum-fatigue criterion for load sharing between synergistic muscles. J Biomech. 1984;17(9):675-684.
1978	Pedotti A, Krishnan VV, Stark L. Optimization of muscle-force sequencing in human locomotion. Math Biosci. 1978;38(1-2):57-76.
1987	Herzog W. Individual muscle force estimations using a non-linear optimal design. J Neurosci Meth. October 1987;21(2-4):167-179.
1938	Hill AV. The heat of shortening and the dynamic constants of muscle. Proc R Soc Lond B Biol Sci. October 10, 1938;126(843):136-195.
1973	Seireg A, Arvikar RJ. A mathematical model for evaluation of forces in lower extremeties of the musculo-skeletal system. J Biomech. May 1973;6(3):313-326.
1981	Patriarco AG, Mann RW, Simon SR, Mansour JM. An evaluation of the approaches of optimization models in the prediction of muscle forces during human gait. J Biomech. 1981;14(8):513-525.

Cited By (13)

Year	Entry
2001	Pandy MG. Computer modeling and simulation of human movement. Annu Rev Biomed Eng. 2001;3:245-273.
2007	Erdemir A, McLean S, Herzog W, van den Bogert AJ. Model-based estimation of muscle forces exerted during movements. Clin Biomech (Bristol, Avon). February 2007;22(2):131-154.
1995	Collins JJ. The redundant nature of locomotor optimization laws. J Biomech. March 1995;28(3):251-267.
1995	Murray WM, Delp SL, Buchanan TS. Variation of muscle moment arms with elbow and forearm position. J Biomech. May 1995;28(5):513-525.
2011	Correa TA, Baker R, Kerr Graham H, Pandy MG. Accuracy of generic musculoskeletal models in predicting the functional roles of muscles in human gait. J Biomech. July 28, 2011;44(11):2096-2105.
2018	Modenese L, Montefiori E, Wang A, Wesarg S, Viceconti M, Mazzà C. Investigation of the dependence of joint contact forces on musculotendon parameters using a codified workflow for image-based modelling. J Biomech. May 17, 2018;73:108-118.
2015	Hicks JL, Uchida TK, Seth A, Rajagopal A, Delp SL. Is my model good enough? best practices for verification and validation of musculoskeletal models and simulations of movement. J Biomech Eng. February 2015;137(2):020905.
2008	Pal S. Explicit Finite Element Modeling of Joint Mechanics [PhD thesis]. University of Denver; August 2008.
2000	Van Ee CA. Tensile Properties of the Human Muscular and Ligamentous Cervical Spine [PhD thesis]. Duke University; 2000.
1997	Murray WM. The Functional Capacity of the Elbow Muscles: Anatomical Measurements, Computer Modeling, and Anthropometric Scaling [PhD thesis]. Evanston, IL: Northwestern University; June 1997.
2006	Arjmand N. Computational Biomechanics of the Human Spine in Static Lifting Tasks [PhD thesis]. École polytechnique de Montréal; October 2006.
2020	Wade F. Improved Methods for Measuring Achilles Tendon Moment Arm Prospectively Applied to Total Ankle Arthroplasty Patients [PhD thesis]. State College, PA: Pennsylvania State University; May 2020.
2002	Jinha A. Analyses of Muscle Force Predictions Based on Optimization [Master's thesis]. Calgary, AB: University of Calgary; May 2002.