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An Experimental and Finite Element Protocol to Investigate the Transport of Neutral and Charged Solutes across Articular Cartilage
Published on: April 23, 2017
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Analysis of Cryoprotectant Concentration During Cryopreservation in Articular Cartilage Sample Using Homogeneous and
Anna Skorupa1, Alicja Piasecka-Belkhayat2
1Department of Computational Mechanics and Engineering, Silesian University of Technology, Konarskiego 18A, 44-100, Gliwice, Poland. anna.skorupa@polsl.pl.
Annals of Biomedical Engineering
|November 28, 2025
Summary
This study compares homogeneous and porous models for cryoprotectant diffusion in cartilage. Porous models yielded lower effective diffusion coefficients, crucial for optimizing cryopreservation protocols.
Area of Science:
- Biomedical Engineering
- Materials Science
- Biophysics
Background:
- Cryopreservation of articular cartilage is vital for tissue engineering and regenerative medicine.
- Understanding cryoprotectant agent (CPA) diffusion is critical for cell viability during cryopreservation.
- Accurate modeling of CPA diffusion requires considering the complex material properties of biological tissues.
Purpose of the Study:
- To compute the effective diffusion coefficient of CPA in articular cartilage during cryopreservation.
- To compare the predictive accuracy of homogeneous and porous material models for CPA diffusion.
- To investigate the influence of temperature and CPA concentration on the effective diffusion coefficient.
Main Methods:
- Coupling mass transfer with the effective diffusion coefficient using Einstein-Stokes and Arrhenius models for homogeneous materials.
- Employing a porous medium model for mass transfer, strongly coupled with CPA concentration and weakly coupled with heat transfer (Fourier equation).
- Validating model predictions against experimental results for a selected cryopreservation method.
Main Results:
- The porous model yielded the lowest effective diffusion coefficient values.
- Maximal relative errors compared to experimental data were 15.82% (homogeneous, Einstein-Stokes), 5.20% (homogeneous, Arrhenius), and 24.96% (porous).
- Decreasing temperature and increasing dimethyl sulfoxide (DMSO) concentration reduced the effective diffusion coefficient.
Conclusions:
- The porosity of articular cartilage significantly impacts CPA diffusion dynamics.
- The chosen material model critically influences the accuracy of effective diffusion coefficient calculations.
- This comparative analysis provides insights for optimizing CPA concentrations and cooling rates in cartilage cryopreservation.

