心肌灌注数学建模的格子波尔兹曼方法。

IF 2.2 4区医学 Q3 ENGINEERING, BIOMEDICAL International Journal for Numerical Methods in Biomedical Engineering Pub Date : 2024-05-07 DOI:10.1002/cnm.3833

Radek Fučík, Jan Kovář, Kateřina Škardová, Ondřej Polívka, Radomír Chabiniok

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引用次数: 0

摘要

本文提出了一种基于晶格玻尔兹曼法（LBM）的心肌灌注数学模型，并对其在健康和疾病病例中的适用性进行了研究。心肌被概念化为一种多孔材料，研究造影剂在其中的血流传输和质量转移。使用 LBM 获得的一维和二维心肌灌注结果与之前文献报道的结果以及使用混合混合有限元法获得的结果进行了对比。由于 LBM 不适合模拟异质多孔介质中的流动，因此针对二维病变情况提出了一种简化且计算效率高的一维模拟方法，并讨论了其适用性。

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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A lattice Boltzmann approach to mathematical modeling of myocardial perfusion

A mathematical model of myocardial perfusion based on the lattice Boltzmann method (LBM) is proposed and its applicability is investigated in both healthy and diseased cases. The myocardium is conceptualized as a porous material in which the transport and mass transfer of a contrast agent in blood flow is studied. The results of myocardial perfusion obtained using LBM in 1D and 2D are confronted with previously reported results in the literature and the results obtained using the mixed-hybrid finite element method. Since LBM is not suitable for simulating flow in heterogeneous porous media, a simplified and computationally efficient 1D-analog approach to 2D diseased case is proposed and its applicability discussed.

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来源期刊

International Journal for Numerical Methods in Biomedical Engineering ENGINEERING, BIOMEDICAL-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.50

自引率

9.50%

发文量

103

审稿时长

3 months

期刊介绍： All differential equation based models for biomedical applications and their novel solutions (using either established numerical methods such as finite difference, finite element and finite volume methods or new numerical methods) are within the scope of this journal. Manuscripts with experimental and analytical themes are also welcome if a component of the paper deals with numerical methods. Special cases that may not involve differential equations such as image processing, meshing and artificial intelligence are within the scope. Any research that is broadly linked to the wellbeing of the human body, either directly or indirectly, is also within the scope of this journal.