ArticleJournal of the mechanical behavior of biomedical materials2021
Reconstructing vascular homeostasis by growth-based prestretch and optimal fiber deposition.
Article in Journal of the mechanical behavior of biomedical materials, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- A microstructurally motivated framework to study autoregulation in the coronary circulation.The Journal of physiology · 2026Article
- Modulating vascular stresses through homeostatic remodelling: a multi-patient analysis of atherosclerotic carotid biomechanics.Journal of the Royal Society, Interface · 2025Article
- FSGe: A fast and strongly-coupled 3D fluid-solid-growth interaction method.Computer methods in applied mechanics and engineering · 2024Article
- Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration.Journal of computational physics · 2022Article
- Constrained Mixture Models of Soft Tissue Growth and Remodeling - Twenty Years After.Journal Of Elasticity · 2021Article
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Authors and funding
3 authors.
Funding
Abstract
Computational modeling of cardiovascular biomechanics should generally start from a homeostatic state. This is particularly relevant for image-based modeling, where the reference configuration is the loaded in vivo state obtained from imaging. This state includes residual stress of the vascular constituents, as well as anisotropy from the spatially varying orientation of collagen and smooth muscle fibers. Estimation of the residual stress and fiber orientation fields is a formidable challenge in realistic applications. To help address this challenge, we herein develop a growth based Algorithm to recover a residual stress distribution in vascular domains such that the stress state in the loaded configuration is equal to a prescribed homeostatic stress distribution at physiologic pressure. A stress-driven fiber deposition process is included in the framework, which defines the distribution of the fiber alignments in the vascular homeostatic state based on a minimization procedure. Numerical simulations are conducted to test this two-stage homeostasis generation algorithm in both idealized and non-idealized geometries, yielding results that agree favorably with prior numerical and experimental data.
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