Interstitial fluid flow in tendons or ligaments: A porous medium finite element simulation

S. L. Butler, S. S. Kohles, R. J. Thielke, C. Chen, R. Vanderby

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The purpose of this study is to describe interstitial fluid flow in axisymmetric soft connective tissue (ligaments or tendons) when they are loaded in tension. Soft hydrated tissue was modelled as a porous medium (using Darcy's Law), and the finite element method was used to solve the resulting equations governing fluid flow. A commercially available computer program (FiDAP) was used to create an axisymmetric model of a biomechanically tested rat ligament. The unknown variables at element nodes were pressure and velocity of the interstitial fluid (Newtonian and incompressible). The effect of variations in fluid viscosity and permeability of the solid matrix was parametrically explored. A transient loading state mimicking a rat ligament mechanical experiment was used in all simulations. The magnitude and distribution of pressure, stream lines, shear (stress) rate, vorticity and velocity showed regular patterns consistent with extension flow. Parametric changes of permeability and viscosity strongly affected fluid flow behaviour. When the radial permeability was 1000 times less than the axial permeability, shear rate and vorticity increased (approximately 5-fold). These effects (especially shear stress and pressure) suggested a strong interaction with the solid matrix. Computed levels of fluid flow suggested a possible load transduction mechanism for cells in the tissue.

Original languageEnglish (US)
Pages (from-to)742-746
Number of pages5
JournalMedical and Biological Engineering and Computing
Volume35
Issue number6
DOIs
StatePublished - Nov 1997

Fingerprint

Ligaments
Tendons
Extracellular Fluid
Porous materials
Flow of fluids
Permeability
Tissue
Vorticity
Pressure
Viscosity
Rats
Shear stress
Fluids
Connective Tissue
Shear deformation
Computer program listings
Software
Finite element method
Experiments

Keywords

  • Finite element analysis
  • Fluid dynamics
  • Ligament
  • Porous medium
  • Tendon

ASJC Scopus subject areas

  • Biomedical Engineering
  • Computer Science Applications
  • Health Informatics
  • Health Information Management
  • Computational Theory and Mathematics

Cite this

Interstitial fluid flow in tendons or ligaments : A porous medium finite element simulation. / Butler, S. L.; Kohles, S. S.; Thielke, R. J.; Chen, C.; Vanderby, R.

In: Medical and Biological Engineering and Computing, Vol. 35, No. 6, 11.1997, p. 742-746.

Research output: Contribution to journalArticle

Butler, S. L. ; Kohles, S. S. ; Thielke, R. J. ; Chen, C. ; Vanderby, R. / Interstitial fluid flow in tendons or ligaments : A porous medium finite element simulation. In: Medical and Biological Engineering and Computing. 1997 ; Vol. 35, No. 6. pp. 742-746.
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