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Structure and Organization of Smooth Muscles01:13

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Updated: Jan 1, 2026

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
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A mass-flowing muscle model with shape restrictive soft tissues: correlation with sonoelastography.

Jianqiao Guo1, Yang Sun2, Yunxia Hao2

  • 1Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China.

Biomechanics and Modeling in Mechanobiology
|December 20, 2019
PubMed
Summary

This study introduces a novel muscle model that accounts for connective tissue constraints and mass flow, improving biomechanical predictions. The model accurately simulates muscle behavior under transverse loading, enhancing our understanding of locomotion dynamics.

Keywords:
Arbitrary Lagrangian–Eulerian (ALE) descriptionConnective tissuesMass-variable systemMuscle compressionMuscle–tendon unitShear-wave elastography

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Area of Science:

  • Biomechanics
  • Computational Biology
  • Musculoskeletal Modeling

Background:

  • Skeletal muscles are embedded in connective tissues affecting biomechanics.
  • Existing Hill-type models lack consideration of muscle geometry and inertia.
  • Soft tissue constraints and mass flow are crucial for accurate muscle modeling.

Purpose of the Study:

  • To propose a new muscle model incorporating soft tissue constraints and mass flow.
  • To enhance the accuracy of muscle biomechanical simulations.
  • To investigate the influence of muscle geometry and inertia on force generation.

Main Methods:

  • Formulated a mass-variable cable element using arbitrary Lagrangian-Eulerian description.
  • Incorporated sliding joints to constrain mass flow via epimuscular connections.
  • Validated the model with experimental data from cat and rat muscles and human simulations.

Main Results:

  • The model accurately predicts muscle behavior under transverse loading.
  • Muscle mass flow influences force-generating behaviors.
  • Simulations correlated well with sonoelastographic evaluations.

Conclusions:

  • The proposed muscle model offers a more realistic representation of muscle dynamics.
  • This framework can be integrated into larger musculoskeletal models for advanced biomechanical analyses.
  • Improved understanding of muscle function during locomotion and dynamic events.