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Related Experiment Video

Updated: Dec 31, 2025

An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage
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Anisotropic Diffusivity Tensor in Articular Cartilage: Effective Medium Approach.

Kotaybah Hashlamoun1, Salvatore Federico2

  • 1Department of Mechanical and Manufacturing Engineering, The University of Calgary, 2500 University Drive NW, Calgary, AB T2N1N4, Canada; Graduate Programme in Biomedical Engineering, The University of Calgary, 2500 University Drive NW, Calgary, AB T2N1N4, Canada.

Journal of Biomechanical Engineering
|January 1, 2020
PubMed
Summary

This study introduces a mathematical model to predict molecular diffusion in articular cartilage, considering its complex fiber structure. The model accurately reflects experimental trends for macromolecule diffusion, aiding understanding of transport mechanisms.

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Area of Science:

  • Biomedical Engineering
  • Biophysics
  • Materials Science

Background:

  • Articular cartilage is avascular, relying on interstitial fluid flow and diffusion for molecular transport.
  • Existing experimental data on cartilage diffusion shows regional anisotropy, but lacks comprehensive mathematical models.
  • Understanding diffusion is crucial for nutrient transport, waste removal, and drug delivery in cartilage.

Purpose of the Study:

  • To develop a mathematical model for determining the diffusivity tensor of uncharged macromolecules in articular cartilage.
  • To account for cartilage inhomogeneity and anisotropy due to fiber arrangement, volumetric fraction, and molecular radius.
  • To investigate the relationship between diffusivity and permeability in articular cartilage.

Main Methods:

  • A representative element of volume (REV) model was developed, including a fiber within a proteoglycan matrix.
  • REV permeability tensor was calculated using a prior model.
  • REV diffusivity tensor was derived by incorporating hydrodynamic and steric effects, represented as anisotropic tensors. Overall diffusivity was obtained by averaging REV diffusivity based on fiber orientation probability distribution.

Main Results:

  • The model's predictions for macromolecule diffusivity magnitude versus molecular radius align with experimental data.
  • The model accurately predicts anisotropic diffusion behavior for linear macromolecules.
  • Discrepancies were noted in the magnitude of diffusivity and anisotropy ratios for large linear macromolecules in superficial and deep cartilage zones.

Conclusions:

  • The developed model provides a framework for understanding molecular diffusion anisotropy in articular cartilage.
  • It successfully predicts general trends in macromolecule diffusivity based on molecular size and cartilage structure.
  • This work represents a foundational step towards linking cartilage diffusivity and permeability.