ArticleComputer methods in applied mechanics and engineering2020
Fast, Rate-Independent, Finite Element Implementation of a 3D Constrained Mixture Model of Soft Tissue Growth and Remodeling.
Article in Computer methods in applied mechanics and engineering, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Mechanisms driving thoracic aortic aneurysm instability.Biomechanics and modeling in mechanobiology · 2026Article
- Mechanisms Driving Thoracic Aortic Aneurysm Stability.bioRxiv : the preprint server for biology · 2025Article
- Multiscale Kinematic Growth Coupled With Mechanosensitive Systems Biology in Open-Source Software.Journal of biomechanical engineering · 2025Article
- Biomechanics of soft biological tissues and organs, mechanobiology, homeostasis and modelling.Journal of the Royal Society, Interface · 2025Review
- Multiscale homogenized constrained mixture model of the bio-chemo-mechanics of soft tissue growth and remodeling.Biomechanics and modeling in mechanobiology · 2024Article
- FSGe: A fast and strongly-coupled 3D fluid-solid-growth interaction method.Computer methods in applied mechanics and engineering · 2024Article
- A Fluid-Solid-Growth Solver for Cardiovascular Modeling.Computer methods in applied mechanics and engineering · 2023Article
- Computational modelling distinguishes diverse contributors to aneurysmal progression in the Marfan aorta.Proceedings. Mathematical, physical, and engineering sciences · 2023Article
- A Biochemomechanical Model of Collagen Turnover in Arterial Adaptations to Hemodynamic Loading.Research square · 2023Article
- An inverse fitting strategy to determine the constrained mixture model parameters: application in patient-specific aorta.Frontiers in bioengineering and biotechnology · 2023Article
- Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms.Journal of the Royal Society, Interface · 2022Article
- In vivo development of tissue engineered vascular grafts: a fluid-solid-growth model.Biomechanics and modeling in mechanobiology · 2022Article
- About prestretch in homogenized constrained mixture models simulating growth and remodeling in patient-specific aortic geometries.Biomechanics and modeling in mechanobiology · 2022Article
- Multiscale simulations of left ventricular growth and remodeling.Biophysical reviews · 2021Review
- Constrained Mixture Models of Soft Tissue Growth and Remodeling - Twenty Years After.Journal Of Elasticity · 2021Article
- Mechanics-driven mechanobiological mechanisms of arterial tortuosity.Science advances · 2020Article
- Numerical knockouts-In silico assessment of factors predisposing to thoracic aortic aneurysms.PLoS computational biology · 2020Article
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2 authors.
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Abstract
Constrained mixture models of soft tissue growth and remodeling can simulate many evolving conditions in health as well as in disease and its treatment, but they can be computationally expensive. In this paper, we derive a new fast, robust finite element implementation based on a concept of mechanobiological equilibrium that yields fully resolved solutions and allows computation of quasi-equilibrated evolutions when imposed perturbations are slow relative to the adaptive process. We demonstrate quadratic convergence and verify the model via comparisons with semi-analytical solutions for arterial mechanics. We further examine the enlargement of aortic aneurysms for which we identify new mechanobiological insights into factors that affect the nearby non-aneurysmal segment as it responds to the changing mechanics within the diseased segment. Because this new 3D approach can be implemented within many existing finite element solvers, constrained mixture models of growth and remodeling can now be used more widely.
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