title: Should tendon and aponeurosis be considered in series?
abstract: Fibres, aponeuroses, and tendons are often considered mechanically "in series" in skeletal muscles. This notion has led to oversimplified calculations of fibre forces from tendon forces, to incorrect derivations of constitutive laws for aponeuroses, and to misinterpretations of the recovery of elastic energy in stretch-shortening cycles of muscles. Here, we demonstrate theoretically, using examples of increasing complexity, that tendon and aponeurosis are not in series in a muscle fibre-aponeurosis-tendon complex. We then demonstrate that assuming the tendon and aponeurosis to be in series can lead to the appearance of mechanical work creation in these passive viscoelastic structures, a result that is mechanically impossible. Finally, we explain the mechanical role of the incompressible muscle matrix in force transmission from fibres to aponeuroses and tendon, and emphasize that incompressibility necessitates the introduction of extra forces necessary to maintain this constraint. Unfortunately, this requirement eliminates, for all but the simplest cases, a theoretical approach of muscle modeling based on intuitive free-body diagrams.
authors.affiliation: Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alta., Canada T2N 1N4. mepstein@ucalgary.ca
authors.forename: Marcelo
authors.initials: M
authors.lastname: Epstein
authors.forename: Max
authors.initials: M
authors.lastname: Wong
authors.forename: Walter
authors.initials: W
authors.lastname: Herzog
mesh_terms: D000818:Animals; D001696:Biomechanical Phenomena; D006801:Humans; D008954:Models, Biological; D009132:Muscles / Q000502:physiology*; D013710:Tendons / Q000033:anatomy & histology / Q000502:physiology*