Computational Simulation of Aneurysms Using Smoothed Particle Hydrodynamics

IF 2.3 3区 数学 Q1 MATHEMATICS
Mathematics Pub Date : 2025-07-29 DOI:10.3390/math13152439
Yong Wu, Fei Wang, Xianhong Sun, Zibo Liu, Zhi Xiong, Mingzhi Zhang, Baoquan Zhao, Teng Zhou
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引用次数: 0

Abstract

Modeling and simulation of aneurysm formation, growth, and rupture plays an essential role in a wide spectrum of application scenarios, ranging from risk stratification to stability prediction, and from clinical decision-making to treatment innovation. Unfortunately, it remains a non-trivial task due to the difficulties imposed by the complex and under-researched pathophysiological mechanisms behind the different development stages of various aneurysms. In this paper, we present a novel computational method for aneurysm simulation using smoothed particle hydrodynamics (SPH). Firstly, we consider blood in a vessel as a kind of incompressible fluid and model its flow dynamics using the SPH method; and then, to simulate aneurysm growth and rupture, the relationship between the aneurysm development and the properties of fluid particles is established by solving the motion control equation. In view of the prevalence of aneurysms in bifurcation vessels, we further enhance the capability of the model by introducing a solution for bifurcation aneurysms simulation according to Murray’s law. In addition, a CUDA parallel computing scheme is also designed to speed up the simulation process. To evaluate the performance of the proposed method, we conduct extensive experiments with different physical parameters associated with morphological characteristics of an aneurysm. The experimental results demonstrate the effectiveness and efficiency of proposed method in modeling and simulating aneurysm formation, growth, and rupture.
基于光滑粒子流体力学的动脉瘤计算模拟
从风险分层到稳定性预测,从临床决策到治疗创新,动脉瘤形成、生长和破裂的建模和模拟在广泛的应用场景中发挥着至关重要的作用。不幸的是,由于各种动脉瘤不同发展阶段背后复杂且研究不足的病理生理机制所带来的困难,这仍然是一项艰巨的任务。本文提出了一种基于光滑粒子流体力学(SPH)的动脉瘤模拟计算方法。首先,将血管中的血液视为一种不可压缩流体,采用SPH方法对其流动动力学进行建模;然后,通过求解运动控制方程,建立了动脉瘤发育与流体颗粒特性之间的关系,模拟了动脉瘤的生长和破裂。鉴于动脉瘤在分岔血管中的普遍存在,我们根据Murray定律引入了分岔动脉瘤模拟的解决方案,进一步增强了模型的能力。此外,还设计了CUDA并行计算方案,以加快仿真过程。为了评估所提出的方法的性能,我们对与动脉瘤形态特征相关的不同物理参数进行了广泛的实验。实验结果证明了该方法在模拟动脉瘤形成、生长和破裂过程中的有效性和有效性。
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
Mathematics
Mathematics Mathematics-General Mathematics
CiteScore
4.00
自引率
16.70%
发文量
4032
审稿时长
21.9 days
期刊介绍: Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.
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