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Chondrocytes form a temporary cartilaginous model by dividing and secreting a thick gel-like extracellular matrix. Once the chondrocytes undergo programmed cell death, osteoblasts enter the site of the cartilaginous model. The process of replacing the temporary cartilaginous model with bone in an ordered manner is called endochondral ossification. In endochondral ossification, not all of the cartilage is replaced by bone tissue. Some cartilage that performs a protective and supportive function...
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Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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Design of a Biaxial Mechanical Loading Bioreactor for Tissue Engineering
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A mathematical model of tissue-engineered cartilage development under cyclic compressive loading.

Cátia Bandeiras1, António Completo2

  • 1Department of Mechanical Engineering, University of Aveiro, Campus Universitário de Santiago, 3810-193, Aveiro, Portugal. catia.bandeiras@ua.pt.

Biomechanics and Modeling in Mechanobiology
|November 7, 2016
PubMed
Summary

This study presents an advanced computational model for tissue-engineered cartilage, simulating solute transport, cell growth, and matrix remodeling under mechanical loading. The model accurately predicts biological responses, aiding in optimizing cartilage tissue engineering protocols.

Keywords:
Cartilage growthCyclic unconfined compressionIntrinsic mechanical parametersMathematical modelingTissue-engineered cartilage

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Area of Science:

  • Biomedical Engineering
  • Computational Biology
  • Tissue Engineering

Background:

  • Existing models for tissue-engineered cartilage lack comprehensive integration of mechanical loading effects.
  • Understanding the interplay between mechanical stimuli and biological processes is crucial for effective cartilage regeneration.

Purpose of the Study:

  • To develop and validate an advanced coupled model simulating solute transport, cell proliferation, ECM synthesis, and mechanical remodeling in engineered cartilage.
  • To investigate the impact of dynamic mechanical loading on in vitro cartilage cultures.

Main Methods:

  • A biphasic model with a linear elastic solid was employed for tissue-engineering constructs.
  • Numerical simulations determined intrinsic mechanical stimuli, serving as inputs for the coupled model.
  • Mechanical-dependent formulations were calibrated and validated using experimental datasets.

Main Results:

  • The model accurately fitted calibration data and predicted validation data with low average relative errors (up to 3.1% and 4.3%).
  • Simulated temporal and spatial patterns of biological factors aligned with existing literature.
  • The model demonstrated the interaction between simultaneous factors in engineered cartilage under dynamic loading.

Conclusions:

  • The developed coupled model effectively describes biological and mechanical interactions in dynamic cartilage tissue engineering.
  • This computational approach offers potential for optimizing culture protocols, including longer culture times and varied mechanical stimuli.