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Related Concept Videos

Cell-matrix's Response to Mechanical Forces01:13

Cell-matrix's Response to Mechanical Forces

In animal cells, the extracellular matrix allows cells within tissues to withstand external stresses and transmits signals from the outside of the cell to the inside. The extracellular matrix is extensive, and its composition varies between different types of tissues. For example, the reticular fibers and ground substance make up the ECM in loose connective tissue, while collagen and bone minerals make up the ECM of bone tissue. 
Anchoring junctions mechanically attach a cell to the...

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Reactive Constrained Mixtures for Modeling the Solid Matrix of Biological Tissues.

Robert J Nims1, Gerard A Ateshian1

  • 1Columbia University, 500 West 120th St, MC4703, New York, NY 10027, USA.

Journal of Elasticity
|March 25, 2024
PubMed
Summary

This study presents a unified framework for modeling biological tissues using reactive constrained mixtures. This approach integrates mechanics and chemical kinetics to simulate tissue growth, remodeling, and viscoelastic behavior.

Keywords:
BiomechanicsGrowth and remodelingMixture theoryReactive mixturesViscoelasticity

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Area of Science:

  • Continuum mechanics
  • Biomaterials science
  • Chemical kinetics

Background:

  • Biological tissues exhibit complex mechanical and chemical properties.
  • Existing models often struggle to capture the interplay between mechanics and chemical processes in tissues.

Purpose of the Study:

  • To introduce a unified modeling framework for biological tissues using reactive constrained mixtures.
  • To demonstrate the integration of mechanics and chemical kinetics for tissue modeling.

Main Methods:

  • Development of reactive constrained mixture models.
  • Application of the framework to simulate fibrous material behavior.
  • Modeling of tissue growth, remodeling, and viscoelasticity through chemical reactions.

Main Results:

  • The framework successfully recovers classical theories for fibrous materials.
  • Demonstrated ability to model anisotropic changes due to tissue growth and remodeling.
  • Successfully modeled free energy dissipation in viscoelastic materials.

Conclusions:

  • Reactive constrained mixtures provide an elegant and unified approach to modeling biological tissues.
  • This framework effectively links mechanics and chemical kinetics for comprehensive tissue simulation.
  • The approach is well-suited for diverse applications in biomaterials and tissue engineering.