A reduced 3D-0D fluid-structure interaction model of the aortic valve that includes leaflet curvature.

IF 3 3区医学 Q2 BIOPHYSICS

Biomechanics and Modeling in Mechanobiology Pub Date : 2025-08-01 Epub Date: 2025-06-01 DOI:10.1007/s10237-025-01960-9

Ivan Fumagalli, Luca Dede', Alfio Quarteroni

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引用次数: 0

Abstract

We introduce an innovative lumped-parameter model of the aortic valve, designed to efficiently simulate the impact of valve dynamics on blood flow. Our reduced model includes the elastic effects associated with the leaflets' curvature and the stress exchanged with the blood flow. The introduction of a lumped-parameter model based on momentum balance entails an easier calibration of the model parameters: Phenomenological-based models, on the other hand, typically have numerous parameters. This model is coupled to 3D Navier-Stokes equations describing the blood flow, where the moving valve leaflets are immersed in the fluid domain by a resistive method. A stabilized finite element method with a BDF time scheme is adopted for the discretization of the coupled problem, and the computational results show the suitability of the system in representing the leaflet motion, the blood flow in the ascending aorta, and the pressure jump across the leaflets. Both physiological and stenotic configurations are investigated, and we analyze the effects of different treatments for the leaflet velocity on the blood flow.

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包含小叶曲率的主动脉瓣三维流固耦合模型。

我们引入了一种创新的主动脉瓣集总参数模型，旨在有效地模拟瓣膜动力学对血流的影响。我们的简化模型包括与小叶曲率相关的弹性效应以及与血流交换的应力。基于动量平衡的集总参数模型的引入使得模型参数的校准更加容易：另一方面，基于现象学的模型通常具有许多参数。该模型与描述血流的三维Navier-Stokes方程相耦合，其中运动的瓣叶通过电阻法浸入流体域。采用BDF时间格式的稳定有限元法对耦合问题进行离散化，计算结果表明，该系统在表示小叶运动、升主动脉血流和小叶间压力跳变方面具有较好的适用性。研究了小叶的生理形态和狭窄形态，并分析了不同处理对小叶流速的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Biomechanics and Modeling in Mechanobiology 工程技术-工程：生物医学

CiteScore

7.10

自引率

8.60%

发文量

119

审稿时长

6 months

期刊介绍： Mechanics regulates biological processes at the molecular, cellular, tissue, organ, and organism levels. A goal of this journal is to promote basic and applied research that integrates the expanding knowledge-bases in the allied fields of biomechanics and mechanobiology. Approaches may be experimental, theoretical, or computational; they may address phenomena at the nano, micro, or macrolevels. Of particular interest are investigations that (1) quantify the mechanical environment in which cells and matrix function in health, disease, or injury, (2) identify and quantify mechanosensitive responses and their mechanisms, (3) detail inter-relations between mechanics and biological processes such as growth, remodeling, adaptation, and repair, and (4) report discoveries that advance therapeutic and diagnostic procedures. Especially encouraged are analytical and computational models based on solid mechanics, fluid mechanics, or thermomechanics, and their interactions; also encouraged are reports of new experimental methods that expand measurement capabilities and new mathematical methods that facilitate analysis.