ArticleJournal Of Elasticity2017
Reactive Constrained Mixtures for Modeling the Solid Matrix of Biological Tissues.
Article in Journal Of Elasticity, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Computational modeling of tissue damage preceding aortic dissection: a coupled biphasic and reactive viscoelastic framework.Biomechanics and modeling in mechanobiology · 2026Article
- Article
- Biomechanics of soft biological tissues and organs, mechanobiology, homeostasis and modelling.Journal of the Royal Society, Interface · 2025Review
- Early resistance rehabilitation improves functional regeneration following segmental bone defect injury.NPJ Regenerative medicine · 2024Article
- Modeling Fatigue Failure of Cartilage and Fibrous Biological Tissues Using Constrained Reactive Mixture Theory.Journal of biomechanical engineering · 2024Article
- Continuum Growth Mechanics: Reconciling Two Common Frameworks.Journal of biomechanical engineering · 2024Article
- Early Resistance Rehabilitation Improves Functional Regeneration Following Segmental Bone Defect Injury.Research square · 2023Article
- Damage Mechanics of Biological Tissues in Relation to Viscoelasticity.Journal of biomechanical engineering · 2023Article
- A Numerical Scheme for Anisotropic Reactive Nonlinear Viscoelasticity.Journal of biomechanical engineering · 2023Article
- Continuum Thermodynamics of Constrained Reactive Mixtures.Journal of biomechanical engineering · 2022Article
- On the use of constrained reactive mixtures of solids to model finite deformation isothermal elastoplasticity and elastoplastic damage mechanics.Journal of the mechanics and physics of solids · 2021Article
- Constrained Mixture Models of Soft Tissue Growth and Remodeling - Twenty Years After.Journal Of Elasticity · 2021Article
- A Reactive Inelasticity Theoretical Framework for Modeling Viscoelasticity, Plastic Deformation, and Damage in Fibrous Soft Tissue.Journal of biomechanical engineering · 2019Article
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Authors and funding
2 authors.
Funding
Abstract
This article illustrates our approach for modeling the solid matrix of biological tissues using reactive constrained mixtures. Several examples are presented to highlight the potential benefits of this approach, showing that seemingly disparate fields of mechanics and chemical kinetics are actually closely interrelated and may be elegantly expressed in a unified framework. Thus, constrained mixture models recover classical theories for fibrous materials with bundles oriented in different directions or having different reference configurations, that produce characteristic fiber recruitment patterns under loading. Reactions that exchange mass among various constituents of a mixture may be used to describe tissue growth and remodeling, which may also alter the material's anisotropy. Similarly, reactions that describe the breaking and reforming of bonds may be used to model free energy dissipation in a viscoelastic material. Therefore, this framework is particularly well suited for modeling biological tissues.
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