ArticleJournal of the mechanical behavior of biomedical materials2014
Interstitial growth and remodeling of biological tissues: tissue composition as state variables.
Article in Journal of the mechanical behavior of biomedical materials, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed, 35 citations in OpenAlex.
- Identifying Heterogeneous Micromechanical Properties of Biological Tissues via Physics-Informed Neural Networks.Small methods · 2025Article
- 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
- Article
- Computational study of biomechanical drivers of renal cystogenesis.Biomechanics and modeling in mechanobiology · 2023Article
- Computational models of cardiac hypertrophy.Progress in biophysics and molecular biology · 2021Review
- Fast, Rate-Independent, Finite Element Implementation of a 3D Constrained Mixture Model of Soft Tissue Growth and Remodeling.Computer methods in applied mechanics and engineering · 2020Article
- Mechanics of cervical remodelling: insights from rodent models of pregnancy.Interface focus · 2019Review
- Anisotropic Material Characterization of Human Cervix Tissue Based on Indentation and Inverse Finite Element Analysis.Journal of biomechanical engineering · 2019Article
- Growth and remodelling of living tissues: perspectives, challenges and opportunities.Journal of the Royal Society, Interface · 2019Review
- A biochemo-mechano coupled, computational model combining membrane transport and pericellular proteolysis in tissue mechanics.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
- A triphasic constrained mixture model of engineered tissue formation under in vitro dynamic mechanical conditioning.Biomechanics and modeling in mechanobiology · 2016Article
- A homeostatic-driven turnover remodelling constitutive model for healing in soft tissues.Journal of the Royal Society, Interface · 2016Article
- A Finite Element Model for Mixed Porohyperelasticity with Transport, Swelling, and Growth.PloS one · 2016Article
- The mechanical role of the cervix in pregnancy.Journal of biomechanics · 2015Review
- A continuous fiber distribution material model for human cervical tissue.Journal of biomechanics · 2015Article
- Computational modeling of chemical reactions and interstitial growth and remodeling involving charged solutes and solid-bound molecules.Biomechanics and modeling in mechanobiology · 2014Article
- Raman spectroscopy provides a noninvasive approach for determining biochemical composition of the pregnant cervix in vivo.Acta paediatrica (Oslo, Norway : 1992) · 2014Review
- Modeling Inelastic Responses Using Constrained Reactive Mixtures.European journal of mechanics. A, SolidsArticle
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Growth and remodeling of biological tissues involves mass exchanges between soluble building blocks in the tissue's interstitial fluid and the various constituents of cells and the extracellular matrix. As the content of these various constituents evolves with growth, associated material properties, such as the elastic modulus of the extracellular matrix, may similarly evolve. Therefore, growth theories may be formulated by accounting for the evolution of tissue composition over time in response to various biological and mechanical triggers. This approach has been the foundation of classical bone remodeling theories that successfully describe Wolff's law by establishing a dependence between Young's modulus and bone apparent density and by formulating a constitutive relation between bone mass supply and the state of strain. The goal of this study is to demonstrate that adding tissue composition as state variables in the constitutive relations governing the stress-strain response and the mass supply represents a very general and straightforward method to model interstitial growth and remodeling in a wide variety of biological tissues. The foundation for this approach is rooted in the framework of mixture theory, which models the tissue as a mixture of multiple solid and fluid constituents. A further generalization is to allow each solid constituent in a constrained solid mixture to have its own reference (stress-free) configuration. Several illustrations are provided, ranging from bone remodeling to cartilage tissue engineering and cervical remodeling during pregnancy.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.