Optimization algorithm performance in determining optimal controls in human movement analyses

wbldb

Neptune, R. R.¹

Optimization algorithm performance in determining optimal controls in human movement analyses

J Biomech Eng. April 1999;121(2):249-252

©1999 ASME

Affiliations

¹Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, Calgary, AB T2N 1N4 Canada
Abstract

The objective of this study was to evaluate the performance of different multivariate optimization algorithms by solving a “tracking” problem using a forward dynamic model of pedaling. The tracking problem was defined as solving for the muscle controls (muscle stimulation onset, offset, and magnitude) that minimized the error between experimentally collected kinetic and kinematic data and the simulation results of pedaling at 90 rpm and 250 W. Three different algorithms were evaluated: a downhill simplex method, a gradient-based sequential quadratic programming algorithm, and a simulated annealing global optimization routine. The results showed that the simulated annealing algorithm performed far superior to the conventional routines by converging more rapidly and avoiding local minima.
Links

DOI: 10.1115/1.2835111

PubMed: 10211461

WoS: 000079930400016
History

Received: 1997-09-03

Revised: 1998-09-13

Cited Works (8)

Year	Entry
1993	Fregly BJ. The Significance of Crank Load Dynamics to Steady-State Pedaling Biomechanics: An Experimental and Computer Modeling Study [PhD thesis]. Stanford University; March 1993.
1997	Raasch CC, Zajac FE, Ma B, Levine WS. Muscle coordination of maximum-speed pedaling. J Biomech. June 1997;30(6):595-602.
1992	Pandy MG, Anderson FC, Hull DG. A parameter optimization approach for the optimal control of large-scale musculoskeletal systems. J Biomech Eng. November 1992;114(4):450-460.
1990	Delp SL, Loan JP, Hoy MG, Zajac FE, Topp EL, Rosen JM. An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures. IEEE Trans Biomed Eng. 1990;37(8):757-767.
1987	Davy DT, Audu ML. A dynamic optimization technique for predicting muscle forces in the swing phase of gait. J Biomech. 1987;20(2):187-201.
1998	Neptune RR, Hull ML. Evaluation of performance criteria for simulation of submaximal steady-state cycling using a forward dynamic model. J Biomech Eng. June 1998;120(3):334-341.
1994	Goffe WL, Ferrier GD, Rogers J. Global optimization of statistical functions with simulated annealing. J Econom. January–February 1994;60:65-99.
1989	Zajac FE. Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit Rev Biomed Eng. 1989;17(4):359-411.

Cited By (29)

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.
2002	Zajac FE, Neptune RR, Kautz SA. Biomechanics and muscle coordination of human walking, I: introduction to concepts, power transfer, dynamics and simulations. Gait Post. December 2002;16(3):215-232.
2003	Zajac FE, Neptune RR, Kautz SA. Biomechanics and muscle coordination of human walking, II: lessons from dynamical simulations and clinical implications. Gait Post. February 2003;17(1):1-17.
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.
2001	Neptune RR, Kautz SA, Zajac FE. Contributions of the individual ankle plantar flexors to support, forward progression and swing initiation during walking. J Biomech. November 2001;34(11):1387-1398.
2003	Thelen DG, Anderson FC, Delp SL. Generating dynamic simulations of movement using computed muscle control. J Biomech. March 2003;36(3):321-328.
2006	Thelen DG, Anderson FC. Using computed muscle control to generate forward dynamic simulations of human walking from experimental data. J Biomech. 2006;39(6):1107-1115.
2006	Scovil CY, Ronsky JL. Sensitivity of a Hill-based muscle model to perturbations in model parameters. J Biomech. 2006;39(11):2055-2063.
2004	Wagner DR, Lotz JC. Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus. J Orthop Res. July 2004;22(4):901-909.
2006	Damsgaard M, Rasmussen J, Christensen ST, Surma E, de Zee M. Analysis of musculoskeletal systems in the AnyBody modeling system. Simul Model Pract Theory. November 2006;14(8):1100-1111.
2011	Noble LD Jr. Development of a Muscle Force Optimization Algorithm to Improve Center of Pressure During Simulated Walking [PhD thesis]. Cleveland State University; January 2011.
2008	Pal S. Explicit Finite Element Modeling of Joint Mechanics [PhD thesis]. University of Denver; August 2008.
2021	Vega M. Development and Applications of Neuromusculoskeletal Modeling Software for Personalized Treatment Design [PhD thesis]. Houston, TX: Rice University; 2021.
2005	Higginson JS. Analysis of Muscle Coordination During Slow and Post-Stroke Hemiparetic Gait Using Simulation [PhD thesis]. Stanford University; 2005.
2008	Liu MQ-M. Muscle Contributions to Support and Progression Over a Range of Walking Speeds [PhD thesis]. Stanford University; October 2008.
2021	Malakoutian M. Biomechanical Properties of Paraspinal Muscles and Their Influence on Spinal Loading: An Experimental and Computational Investigation [PhD thesis]. Vancouver, BC: University of British Columbia; May 2021.
2004	Scovil CY. The Viability of a 3D Forward Dynamic Model of Walking as a Research Tool to Enhance Clinical Understanding of Gait Abnormalities [PhD thesis]. Calgary, AB: University of Calgary; March 2004.
2002	Wagner DR. A Mechanistic Strain Energy Function and Experimental Results for the Human Annulus Fibrosus [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2002.
2006	Camilleri MJ. Increasing Accuracy and Establishing Statistical Confidence of Forward Dynamic Simulations of Human Movement [PhD thesis]. Davis, University of California; 2006.
2012	Gopalakrishnan A. Formulating Optimization Based Musculoskeletal Simulation Approaches: Utility in Subject Assessment and Rehabilitation [PhD thesis]. University of Delaware; 2012.
2005	Koh BI. Parallel Algorithms for Biomechanical Optimization Problems [PhD thesis]. University of Florida; December 2005.
2005	Schutte JF. Applications of Parallel Global Optimization to Mechanics Problems [PhD thesis]. University of Florida; December 2005.
2014	Vistamehr A. Understanding Dynamic Balance During Walking Using Whole-Body Angular Momentum [Master's thesis]. University of Texas at Austin; August 2014.
2019	Kingston DC. Development of a Full Flexion 3D Musculoskeletal Model of the Knee Considering Intersegmental Contact and Deep Muscle Activity During High Knee Flexion [PhD thesis]. University of Waterloo; 2019.
2011	Matrangola SL. An Experimental and Simulation Based Approach Toward Understanding the Effects of Obesity on Balance Recovery from a Postural Perturbation [PhD thesis]. Virginia Polytechnic Institute and State University; September 8, 2011.
2011	Daly M. Adaptations Following Upper Extremity Resistance Training in Older Adults [PhD thesis]. Winston-Salem, NC: Wake Forest University; May 2011.
2014	Vidt ME. Muscle Structure and Function in Older Adults With a Rotator Cuff Tear [PhD thesis]. Winston-Salem, NC: Wake Forest University; April 2014.
2014	Choi KW. Computational Approaches for Segmenting Cartilage Morphology and Simulating Knee Joint Contact Pressure During Human Walking [PhD thesis]. University of Wisconsin – Madison; 2014.