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A Mathematical Model and MATLAB Code for Muscle-Fluid-Structure Simulations.

Nicholas A Battista1, Austin J Baird2, Laura A Miller3

  • 1*Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, USA;

Integrative and Comparative Biology
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Summary
This summary is machine-generated.

This study presents models and code for simulating muscle-fluid-structure interactions (FSIs). The findings enable the study of active muscle forces driving flexible structures in fluids for educational biomechanics applications.

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Area of Science:

  • Biomechanics
  • Computational Biology
  • Fluid Dynamics

Background:

  • Muscle mechanics are often simplified in educational settings, focusing on isometric or isotonic contractions.
  • Simulating complex muscle-driven movements in fluid environments is challenging.
  • Bridging the gap between simplified models and realistic biological applications is crucial for quantitative biology education.

Purpose of the Study:

  • To develop and present numerical models and code for simulating muscle-fluid-structure interactions (FSIs).
  • To illustrate the application of these models through examples of active muscle forces driving flexible structures in viscous fluids.
  • To provide an accessible educational tool for exploring quantitative biology concepts.

Main Methods:

  • Development of a simple model for muscle force generation during active contraction.
  • Numerical simulation of fluid-structure interactions driven by muscle forces.
  • Implementation of a fully-coupled FSI model for an elastic band in a fluid.
  • Modeling of a valveless tube with active muscle contractions driving its motion.

Main Results:

  • Demonstration of muscle forces effectively driving the motion of flexible structures in viscous fluids.
  • Successful simulation of a fully-coupled FSI scenario with an elastic band.
  • Validation of a model for a valveless tube propelled by active muscle contractions.
  • Provision of flexible MATLAB code for educational use in simulating biological applications.

Conclusions:

  • The developed models and code provide a valuable tool for simulating muscle-driven fluid-structure interactions.
  • This approach enhances quantitative biology education by offering realistic and adaptable simulation examples.
  • The presented framework facilitates deeper understanding of biomechanics and active biological systems.