In vivo moment arm calculations at the ankle using magnetic resonance imaging (MRI)

Rugg, S. G.; Gregor, R. J.; Mandelbaum, B. R.; Chiu, L.

Affiliations

¹Human Biomechanics Laboratory, Department of Kinesiology, University of California, Los Angeles, CA 90024-1568, U.S.A.

²Division of Orthopaedic Surgery, UCLA School of Medicine, Los Angeles, CA 90024-1568. U.S.A.

³Department of Radiology, UCLA Harbor Hospital, Los Angeles, CA 90024-1568, U.S.A.

Abstract

In vivo moment arm lengths for the Achilles tendon and tibialis anterior (TA) were determined in 10 adult male subjects. Moment arms were measured as the perpendicular distance between the joint center of rotation (CR) and the center of the muscle's tendon on a series of sagittal plane magnetic resonance images. The first set of calculations used a fixed CR and the second a moving CR. The position of the CR was determined using a modification of the graphical method of Reuleaux. For both moving and fixed CR conditions, moment arms increased by approximately 20% for the Achilles tendon and decreased by approximately 30% for the TA when the ankle moved from maximum dorsiflexion to maximum plantarflexion. Moment arms averaged 3.1% greater for the Achilles tendon and 2.5% greater for the TA when calculated using a fixed CR. These data suggest that the averaged moment arm lengths for the Achilles tendon and the TA were relatively unaffected by the use of a fixed vs moving CR.

Links

DOI: 10.1016/0021-9290(90)90305-M

PubMed: 2373722

WoS: A1990DF91600012

History

Revised: 1989-03-10

Cited Works (5)

Year	Entry
1973	Smidt GL. Biomechanical analysis of knee flexion and extension. J Biomech. January 1973;6(1):79-92.
1981	Dostal WF, Andrews JG. A three-dimensional biomechanical model of hip musculature. J Biomech. 1981;14(11):803-812.
1982	Procter P, Paul P J. Ankle joint biomechanics. J Biomech. 1982;15(9):627-634.
1982	Brand RA, Crowninshield RD, Wittstock CE, Pedersen DR, Clark CR, van Krieken FM. A model of lower extremity muscular anatomy. J Biomech Eng. November 1982;104(4):304-310.
1975	Seireg A, Arvikar RJ. The prediction of muscular load sharing and joint forces in the lower extremities during walking. J Biomech. March 1975;8(2):89-102.

Cited By (30)

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1998	Petit P, Portier L, Trosseille X. Rigid body model of the Hybrid III dummy lower limb including muscle tension under car crash conditions. In: Proceedings of the 1998 International IRCOBI Conference on the Biomechanics of Impact. September 16-18, 1998; Göteberg, Sweden.173-188.
1999	Petit P, Trosseille X. Comparison of the THOR, HYBRID III and cadaver lower leg dynamic responses in dorsiflexion. In: Proceedings of the 43rd Stapp Car Crash Conference. October 25-27, 1999; San Diego, CA. Warrendale, PA: Society of Automotive Engineers:161-169. SAE 99SC10.
2000	Arnold AS, Salinas S, Hakawa DJ, Delp SL. Accuracy of muscle moment arms estimated from MRI-based musculoskeletal models of the lower extremity. Comput Aided Surg. 2000;5(2):108-119.
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.
1992	Spoor CW, van Leeuwen JL. Knee muscle moment arms from MRI and from tendon travel. J Biomech. February 1992;25(2):201-206.
2007	Blemker SS, Asakawa DS, Gold GE, Delp SL. Image-based musculoskeletal modeling: applications, advances, and future opportunities. J Magn Reson Imaging. February 2007;25(2):441-451.
2023	Diniz P, Quental C, Violindo P, Gomes JV, Pereira H, Kerkhoffs GMMJ, Ferreira FC, Folgado J. Design and validation of a finite element model of the aponeurotic and free achilles tendon. J Orthop Res. March 2023;41(3):534-545.
2000	Giddings VL, Beaupré GS, Whalen RT, Carter DR. Calcaneal loading during walking and running. Med Sci Sports Exer. March 2000;32(3):627-634.
2011	Childers WL. Motor Control in Persons With a Trans-Tibial Amputation During Cycling [PhD thesis]. Atlanta, GA: Georgia Institute of Technology; August 2011.
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.
1999	Arnold AS. Quantitative Descriptions of Musculoskeletal Geometry in Persons With Cerebral Palsy: Guidelines for the Evaluation and Treatment of Crouch Gait [PhD thesis]. Evanston, IL: Northwestern University; December 1999.
2004	Sasimontonkul S. Do Running and Fatigued Running Relate to Tibial Stress Fractures? [PhD thesis]. Oregon State University; 2004.
2009	Lee SSM. Musculoskeletal Architecture and Plantarflexor Muscle Function in the Human Ankle Joint [PhD thesis]. State College, PA: Pennsylvania State University; December 2009.
2012	Baxter JR. Linking Foot and Ankle Musculoskeletal Structure to Locomotor Function [PhD thesis]. State College, PA: Pennsylvania State University; December 2012.
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.
2022	Hickox L. Mechanisms Underlying Plantarflexor Structure-Function Relationships and Implications for Locomotor Function [PhD thesis]. State College, PA: Pennsylvania State University; December 2022.
1998	Giddings VL. Computer Simulations of Calcaneal Loading and Bone Adaptation [PhD thesis]. Stanford University; June 1998.
2001	Pappas G. Characterization of Biceps Brachii Architecture and Contraction Mechanics Using Medical Imaging Techniques [PhD thesis]. Stanford University; February 2001.
2002	Asakawa DS. Magnetic Resonance Imaging of Skeletal Muscle Geometry and Motion After Surgery [PhD thesis]. Stanford University; October 2002.
1995	Cole GK. Loading of the Joints of the Lower Extremities During the Impact Phase in Running [PhD thesis]. Calgary, AB: University of Calgary; July 1995.
2002	Baker SN. In-Vivo Quantification of Patellofemoral Joint Contact Force Using a Mathematical Model [Master's thesis]. Calgary, AB: University of Calgary; January 2002.
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.
2008	Cowder JD. Testing and Application of a Novel Hybrid Combination of Ultrasound and Motion Analysis for Estimation of Achilles Tendon Moment Arms in Vivo [Master's thesis]. University of Delaware; Spring 2008.
2011	Tian M. Biomechanics of Human Passive Muscles [PhD thesis]. University of New South Wales; 2011.
2021	Kessler SE. The Spring in Your Step: The Role of Muscles and Elastic Connective Tissue Within the Foot [PhD thesis]. Brisbane, Australia: University of Queensland; 2021.
2012	Kurse MU. Inference of Computational Models of Tendon Networks Via Sparse Experimentation [PhD thesis]. University of Southern California (USC); August 2012.
2015	Samarawickrame SD. Musculotendinous Adaptations Associated With a Functional Training Program: The Transition to Barefoot Running [PhD thesis]. University of Southern California (USC); May 2015.
1999	Anderson FC III. A Dynamic Optimization Solution for a Complete Cycle of Normal Gait [PhD thesis]. University of Texas at Austin; December 1999.
2018	Terrell E. In Vivo Determination of the Physiological and Functional Properties of Muscle Using Multiscale Measurements of Muscle Architecture [Master's thesis]. Charlottesville, VA: University of Virginia; May 2018.