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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
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.
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.
