ArticleBiomechanics and modeling in mechanobiology2014
A goal function approach to remodeling of arteries uncovers mechanisms for growth instability.
Article in Biomechanics and modeling in mechanobiology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed.
- Associations of carotid intima media thickness with gene expression in whole blood and genetically predicted gene expression across 48 tissues.Human molecular genetics · 2022Article
- Constrained Mixture Models of Soft Tissue Growth and Remodeling - Twenty Years After.Journal Of Elasticity · 2021Article
- Vascular Mechanobiology: Homeostasis, Adaptation, and Disease.Annual review of biomedical engineering · 2021Review
- [Review of studies on the biomechanical modelling of the coupling effect between stent degradation and blood vessel remodeling].Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi · 2020Article
- Growth and remodelling of living tissues: perspectives, challenges and opportunities.Journal of the Royal Society, Interface · 2019Review
- Mechanobiological Stability of Biological Soft Tissues.Journal of the mechanics and physics of solids · 2019Article
- Reactive Constrained Mixtures for Modeling the Solid Matrix of Biological Tissues.Journal Of Elasticity · 2017Article
- Elastosis during airway wall remodeling explains multiple co-existing instability patterns.Journal of theoretical biology · 2016Article
- Extension of Murray's law including nonlinear mechanics of a composite artery wall.Biomechanics and modeling in mechanobiology · 2015Article
- Mechanobiological stability: a new paradigm to understand the enlargement of aneurysms?Journal of the Royal Society, Interface · 2014Article
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Abstract
A novel, goal function-based formulation for the growth dynamics of arteries is introduced and used for investigating the development of growth instability in blood vessels. Such instabilities would lead to abnormal growth of the vessel, reminiscent of an aneurysm. The blood vessel is modeled as a thin-walled cylindrical tube, and the constituents that form the vessel wall are assumed to deform together as a constrained mixture. The growth dynamics of the composite material of the vessel wall are described by an evolution equation, where the effective area of each constituent changes in the direction of steepest descent of a goal function. This goal function is formulated in such way that the constituents grow toward a target potential energy and a target composition. The convergence of the simulated response of the evolution equation toward a target homeostatic state is investigated for a range of isotropic and orthotropic material models. These simulations suggest that elastin-deficient vessels are more prone to growth instability. Increased stiffness of the vessel wall, on the other hand, gives a more stable growth process. Another important finding is that an increased rate of degradation of materials impairs growth stability.
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