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Mechanical properties of chondrocytes from micropipette aspiration experiments

Mechanical properties of chondrocytes from micropipette aspiration experiments. Frank Baaijens 1 , Wendy Trickey 2 , Tod Laursen 3 , Leonidas Alexopoulos 2 and Farshid Guilak 2 1 Department of Biomedical Engineering, Eindhoven University of Technology

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Mechanical properties of chondrocytes from micropipette aspiration experiments

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  1. Mechanical properties of chondrocytes from micropipette aspiration experiments Frank Baaijens1, Wendy Trickey2, Tod Laursen3, Leonidas Alexopoulos2 and Farshid Guilak2 1 Department of Biomedical Engineering, Eindhoven University of Technology 2 Departments of Surgery and Biomedical Engineering, Duke University 3Department of Civil Engineering, Duke University

  2. Micro-pipette aspiration experiment PA FA

  3. Time dependent response

  4. Questions • Mechanical properties of chondrocytes • viscoelastic? • bi-phasic? • compressibility? • finite strains?

  5. Constitutive modeling

  6. Approximate analytical solution • Theret et al solution • final aspiration length • linear elastic, infinitesimal strains • incompressible • half-space approximation

  7. Deformation of chondrocyte Incompressible neo Hookean model

  8. Finite strains? Infinitesimal strains Haider, Guilak et al (2002) Finite strains

  9. Theret approximation: half space?

  10. Creep response

  11. Compressibility of chondrocytes

  12. Recovery experiment

  13. Compression Bi-phasic, compressible, viscoelastic

  14. Equilibration

  15. Recovery

  16. Results

  17. Discussion • Chondrocytes are compressible (ν~ 0.4) • Bi-phasic theory can not explain time dependent response of chondrocytes • Creep response due to viscoelastic behavior • Estimated time scales of PA and FA do not match: different parts of cells are involved in PA and FA

  18. Parameter estimation

  19. Theret approximation: bi-phasic?

  20. Compression and Recovery

  21. Creep recovery

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