ArticleBiomechanics and modeling in mechanobiology2016
A homogenized constrained mixture (and mechanical analog) model for growth and remodeling of soft tissue.
Article in Biomechanics and modeling in mechanobiology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 51 papers.
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Who cites it
51 citing papers in PubMed.
- Geometric and mechanical changes along the length of the porcine aorta.Journal of biomechanics · 2026Article
- A multiscale computational model of ascending thoracic aortic aneurysm development in Marfan syndrome for in silico trials.Biomechanics and modeling in mechanobiology · 2026Article
- Biomechanical Variation of the Vessel Wall Along the Length of the Healthy Aorta-Linking Geometric, Flow-, and Pressure-Mediated Adaptations.Journal of biomechanical engineering · 2026Review
- A computational model of coronary arteries with in-stent restenosis coupling hemodynamics and pharmacokinetics with growth mechanics.Scientific reports · 2025Article
- A continuum model for tissues with moderate cell density.Computers in biology and medicine · 2025Article
- Multiscale Kinematic Growth Coupled With Mechanosensitive Systems Biology in Open-Source Software.Journal of biomechanical engineering · 2025Article
- Patient-specific coronary angioplasty simulations - A mixed-dimensional finite element modeling approach.Computers in biology and medicine · 2025Article
- Mechanisms of aortic dissection: From pathological changes to experimental andProgress in materials science · 2025Article
- Microstructural remodeling under single fiber tensional homeostasis recreates distinctive ex vivo mechanical behavior of arteries.Biomechanics and modeling in mechanobiology · 2025Article
- Multiscale homogenized constrained mixture model of the bio-chemo-mechanics of soft tissue growth and remodeling.Biomechanics and modeling in mechanobiology · 2024Article
- Computational analysis of heart valve growth and remodeling after the Ross procedure.Biomechanics and modeling in mechanobiology · 2024Article
- Modeling Fatigue Failure of Cartilage and Fibrous Biological Tissues Using Constrained Reactive Mixture Theory.Journal of biomechanical engineering · 2024Article
- A Mathematical Model for Postimplant Collagen Remodeling in an Autologous Engineered Pulmonary Arterial Conduit.Journal of biomechanical engineering · 2024Article
- Continuum Growth Mechanics: Reconciling Two Common Frameworks.Journal of biomechanical engineering · 2024Article
- Guidelines for mechanistic modeling and analysis in cardiovascular research.American journal of physiology. Heart and circulatory physiology · 2024Review
- Review of the Brain's Behaviour after Injury and Disease for Its Application in an Agent-Based Model (ABM).Biomimetics (Basel, Switzerland) · 2024Review
- An Agent-Based Model to Reproduce the Boolean Logic Behaviour of Neuronal Self-Organised Communities through Pulse Delay Modulation and Generation of Logic Gates.Biomimetics (Basel, Switzerland) · 2024Article
- A Fluid-Solid-Growth Solver for Cardiovascular Modeling.Computer methods in applied mechanics and engineering · 2023Article
- Stiffness matters: Improved failure risk assessment of ascending thoracic aortic aneurysms.JTCVS open · 2023Article
- A homogenized constrained mixture model of cardiac growth and remodeling: analyzing mechanobiological stability and reversal.Biomechanics and modeling in mechanobiology · 2023Article
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3 authors.
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Abstract
Most mathematical models of the growth and remodeling of load-bearing soft tissues are based on one of two major approaches: a kinematic theory that specifies an evolution equation for the stress-free configuration of the tissue as a whole or a constrained mixture theory that specifies rates of mass production and removal of individual constituents within stressed configurations. The former is popular because of its conceptual simplicity, but relies largely on heuristic definitions of growth; the latter is based on biologically motivated micromechanical models, but suffers from higher computational costs due to the need to track all past configurations. In this paper, we present a temporally homogenized constrained mixture model that combines advantages of both classical approaches, namely a biologically motivated micromechanical foundation, a simple computational implementation, and low computational cost. As illustrative examples, we show that this approach describes well both cell-mediated remodeling of tissue equivalents in vitro and the growth and remodeling of aneurysms in vivo. We also show that this homogenized constrained mixture model suggests an intimate relationship between models of growth and remodeling and viscoelasticity. That is, important aspects of tissue adaptation can be understood in terms of a simple mechanical analog model, a Maxwell fluid (i.e., spring and dashpot in series) in parallel with a "motor element" that represents cell-mediated mechanoregulation of extracellular matrix. This analogy allows a simple implementation of homogenized constrained mixture models within commercially available simulation codes by exploiting available models of viscoelasticity.
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