ArticleBiomechanics and modeling in mechanobiology2021
A design-based model of the aortic valve for fluid-structure interaction.
Article in Biomechanics and modeling in mechanobiology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 24 papers.
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Who cites it
24 citing papers in PubMed.
- Simulations predict improved valve performance without direct leaflet intervention after neonatal truncus arteriosus repair.The Journal of thoracic and cardiovascular surgery · 2026Article
- Evaluation of the Haemodynamic Behaviour of Stenosed Aortic Heart Valves Using Fluid Structure Interaction Modelling.International journal for numerical methods in biomedical engineering · 2026Article
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- An open-source computational framework for immersed fluid-structure interaction modeling using FEBio and MFEM.Engineering with computers · 2026Article
- Simulation-guided outlet valve repair: early integration of computationally-derived principles of free-edge length in bicuspidization repair.Frontiers in cardiovascular medicine · 2026Article
- ValveFit: An analysis-suitable B-spline-based surface fitting framework for patient-specific modeling of tricuspid valves.Computer methods in applied mechanics and engineering · 2026Article
- A numerical framework for preprocedural prosthetic valve positioning and hemodynamic evaluation.Biomechanics and modeling in mechanobiology · 2025Article
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- Article
- A fluid-structure interaction model of the zebrafish aortic valve.Journal of biomechanics · 2025Article
- A reduced 3D-0D fluid-structure interaction model of the aortic valve that includes leaflet curvature.Biomechanics and modeling in mechanobiology · 2025Article
- Computational construction and design optimization of a novel tri-tube heart valve.Biomechanics and modeling in mechanobiology · 2025Article
- Algorithmic Generation of Parameterized Geometric Models of the Aortic Valve and Left Ventricle.Sensors (Basel, Switzerland) · 2024Article
- Multiscale structure and function of the aortic valve apparatus.Physiological reviews · 2024Review
- Simulation-based design of bicuspidization of the aortic valve.The Journal of thoracic and cardiovascular surgery · 2024Article
- CardioVision: A fully automated deep learning package for medical image segmentation and reconstruction generating digital twins for patients with aortic stenosis.Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society · 2023Article
- Comparison of Immersed Boundary Simulations of Heart Valve Hemodynamics Against In Vitro 4D Flow MRI Data.Annals of biomedical engineering · 2023Article
- A parametric geometry model of the aortic valve for subject-specific blood flow simulations using a resistive approach.Biomechanics and modeling in mechanobiology · 2023Article
- Temporal evolution of mechanical stimuli from vascular remodeling in response to the severity and duration of aortic coarctation in a preclinical model.Scientific reports · 2023Article
- Beyond CFD: Emerging methodologies for predictive simulation in cardiovascular health and disease.Biophysics reviews · 2023Review
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
This paper presents a new method for modeling the mechanics of the aortic valve and simulates its interaction with blood. As much as possible, the model construction is based on first principles, but such that the model is consistent with experimental observations. We require that tension in the leaflets must support a pressure, then derive a system of partial differential equations governing its mechanical equilibrium. The solution to these differential equations is referred to as the predicted loaded configuration; it includes the loaded leaflet geometry, fiber orientations and tensions needed to support the prescribed load. From this configuration, we derive a reference configuration and constitutive law. In fluid-structure interaction simulations with the immersed boundary method, the model seals reliably under physiological pressures and opens freely over multiple cardiac cycles. Further, model closure is robust to extreme hypo- and hypertensive pressures. Then, exploiting the unique features of this model construction, we conduct experiments on reference configurations, constitutive laws and gross morphology. These experiments suggest the following conclusions: (1) The loaded geometry, tensions and tangent moduli primarily determine model function. (2) Alterations to the reference configuration have little effect if the predicted loaded configuration is identical. (3) The leaflets must have sufficiently nonlinear material response to function over a variety of pressures. (4) Valve performance is highly sensitive to free edge length and leaflet height. These conclusions suggest appropriate gross morphology and material properties for the design of prosthetic aortic valves. In future studies, our aortic valve modeling framework can be used with patient-specific models of vascular or cardiac flow.
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