A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii

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Blemker, Silvia S.¹; Pinsky, Peter M.¹; Delp, Scott L.^1,2

A 3D model of muscle reveals the causes of nonuniform strains in the biceps brachii

J Biomech. April 1, 2005;38(4):657-665

©2004 Elsevier Ltd. All rights reserved.

Affiliations

¹Department of Mechanical Engineering, Stanford University, Stanford, CA, USA

²Department of Bioengineering, Stanford University, Stanford, CA, USA
Abstract and keywords

Biomechanical models generally assume that muscle fascicles shorten uniformly. However, dynamic magnetic resonance (MR) images of the biceps brachii have recently shown nonuniform shortening along some muscle fascicles during low-load elbow flexion (J. Appl. Physiol. 92 (2002) 2381). The purpose of this study was to uncover the features of the biceps brachii architecture and material properties that could lead to nonuniform shortening. We created a three-dimensional finite-element model of the biceps brachii and compared the tissue strains predicted by the model with experimentally measured tissue strains. The finite-element model predicted strains that were within one standard deviation of the experimentally measured strains. Analysis of the model revealed that the variation in fascicle lengths within the muscle and the curvature of the fascicles were the primary factors contributing to nonuniform strains. Continuum representations of muscle, combined with in vivo image data, are needed to deepen our understanding of how complex geometric arrangements of muscle fibers affect muscle contraction mechanics.

Keywords: Skeletal muscle; Finite-element modeling; Muscle architecture; Upper limb; Fascicle geometry
Links

DOI: 10.1016/j.jbiomech.2004.04.009

PubMed: 15713285

WoS: 000227590400002
History

Accepted: 2004-04-4

Cited Works (8)

Year	Entry
1966	Gordon AM, Huxley AF, Julian FJ. The variation in isometric tension with sarcomere length in vertebrate muscle fibres. J Physiol. 1966;184(1):170-192.
2001	Criscione JC, Douglas AS, Hunter WC. Physically based strain invariant set for materials exhibiting transversely isotropic behavior. J Mech Phys Solids. April 2001;49(4):871-897.
2002	Pappas GP, Asakawa DS, Delp SL, Zajac FE, Drace JE. Nonuniform shortening in the biceps brachii during elbow flexion. J Appl Physiol. June 2002;92(6):2381-2389.
2000	Murray WM, Buchanan TS, Delp SL. The isometric functional capacity of muscles that cross the elbow. J Biomech. August 2000;33(8):943-952.
1990	Alexander RM, Ker RF. The architecture of leg muscles. In: Winters JM, Woo SL-Y, eds. Multiple Muscle Systems: Biomechanics and Movement Organization. New York, NY: Springer-Verlag; 1990:568-577.
1996	Weiss JA, Maker BN, Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput Meth Appl Mech Eng. August 15, 1996;135(1-2):107-128.
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.
1999	Huijing PA. Muscle as a collagen fiber reinforced composite: a review of force transmission in muscle and whole limb. J Biomech. April 1999;32(4):329-345.

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