A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid-structure interaction.

A poroelastic immersed finite element framework for modelling cardiac perfusion and fluid-structure interaction.
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DOI:
10.1002/cnm.3446
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发表时间:
2021-05
影响因子:
2.1
通讯作者:
Luo X
Luo X
中科院分区:
工程技术3区
文献类型:
--
作者:
Richardson SIH;Gao H;Cox J;Janiczek R;Griffith BE;Berry C;Luo X

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心脏灌注建模的现代方法现在通常使用孔隙弹性的框架来描述心肌。心脏组织可以被描述为由孔隙流体(血液)和骨骼(肌细胞和胶原支架)组成的饱和多孔介质。在以前的研究中,心脏中的流体-结构相互作用已经以各种方式处理,但在大多数情况下,心肌被假定为超弹性纤维增强材料。相反,将心肌视为多孔弹性材料的模型通常忽略心肌与心内血流之间的相互作用。这项工作提出了一个多孔弹性浸没有限元框架来模拟左心室动力学在一个三相多孔弹性系统组成的孔隙血液流体,骨骼,和腔室流体。我们通过使用Chapelle等人(2010)在先前工作中考虑的简单立方几何来检查一对原型孔隙弹性地层来对我们的方法进行基准测试。这种立方模型也使我们能够比较系统行为之间的差异时,使用各向同性和各向异性的材料模型的骨架。在此框架下,我们还模拟了三维左心室的多孔弹性动力学,其中心肌由Holzapfel-Ogden定律描述。使用多孔弹性模型得到的结果进行比较,以前研究的相应的超弹性模型。我们发现,多孔弹性LV表现出不同的超弹性LV模型。例如,考虑灌注导致舒张室容积较小,与先前报道的灌注下的众所周知的壁硬化效应一致。与此同时,收缩功能的差异,如纤维应变在基底和中心室,被发现是相对较小的。
Modern approaches to modelling cardiac perfusion now commonly describe the myocardium using the framework of poroelasticity. Cardiac tissue can be described as a saturated porous medium composed of the pore fluid (blood) and the skeleton (myocytes and collagen scaffold). In previous studies fluid–structure interaction in the heart has been treated in a variety of ways, but in most cases, the myocardium is assumed to be a hyperelastic fibre-reinforced material. Conversely, models that treat the myocardium as a poroelastic material typically neglect interactions between the myocardium and intracardiac blood flow. This work presents a poroelastic immersed finite element framework to model left ventricular dynamics in a three-phase poroelastic system composed of the pore blood fluid, the skeleton, and the chamber fluid. We benchmark our approach by examining a pair of prototypical poroelastic formations using a simple cubic geometry considered in the prior work by Chapelle et al (2010). This cubic model also enables us to compare the differences between system behaviour when using isotropic and anisotropic material models for the skeleton. With this framework, we also simulate the poroelastic dynamics of a three-dimensional left ventricle, in which the myocardium is described by the Holzapfel–Ogden law. Results obtained using the poroelastic model are compared to those of a corresponding hyperelastic model studied previously. We find that the poroelastic LV behaves differently from the hyper-elastic LV model. For example, accounting for perfusion results in a smaller diastolic chamber volume, agreeing well with the well-known wall-stiffening effect under perfusion reported previously. Meanwhile differences in systolic function, such as fibre strain in the basal and middle ventricle, are found to be comparatively minor.
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