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使用空间变化的 Robin 边界条件模拟四腔心模型中的心室收缩运动,以模拟心包的影响。

Simulating ventricular systolic motion in a four-chamber heart model with spatially varying robin boundary conditions to model the effect of the pericardium.

机构信息

Department of Biomedical Engineering, School of Biomedical Engineering and Imaging Sciences, King's College London, London, UK.

Department of Biophysics, Medical University of Graz, Graz, Austria.

出版信息

J Biomech. 2020 Mar 5;101:109645. doi: 10.1016/j.jbiomech.2020.109645. Epub 2020 Jan 21.

Abstract

The pericardium affects cardiac motion by limiting epicardial displacement normal to the surface. In computational studies, it is important for the model to replicate realistic motion, as this affects the physiological fidelity of the model. Previous computational studies showed that accounting for the effect of the pericardium allows for a more realistic motion simulation. In this study, we describe the mechanism through which the pericardium causes improved cardiac motion. We simulated electrical activation and contraction of the ventricles on a four-chamber heart in the presence and absence of the effect of the pericardium. We simulated the mechanical constraints imposed by the pericardium by applying normal Robin boundary conditions on the ventricular epicardium. We defined a regional scaling of normal springs stiffness based on image-derived motion from CT images. The presence of the pericardium reduced the error between simulated and image-derived end-systolic configurations from 12.8±4.1 mm to 5.7±2.5 mm. First, the pericardium prevents the ventricles from spherising during isovolumic contraction, reducing the outward motion of the free walls normal to the surface and the upwards motion of the apex. Second, by restricting the inward motion of the free and apical walls of the ventricles the pericardium increases atrioventricular plane displacement by four folds during ejection. Our results provide a mechanistic explanation of the importance of the pericardium in physiological simulations of electromechanical cardiac function.

摘要

心包通过限制表面法向的心外膜位移来影响心脏运动。在计算研究中,模型复制真实运动非常重要,因为这会影响模型的生理逼真度。以前的计算研究表明,考虑心包的影响可以实现更真实的运动模拟。在这项研究中,我们描述了心包引起改善心脏运动的机制。我们在存在和不存在心包影响的情况下,模拟了四腔心脏的电激活和心室收缩。我们通过在心室心外膜上施加法向 Robin 边界条件来模拟心包施加的机械约束。我们根据 CT 图像得出的运动,定义了法向弹簧刚度的区域缩放。心包的存在将模拟和图像衍生的收缩末期构型之间的误差从 12.8±4.1mm 降低到 5.7±2.5mm。首先,心包在等容收缩期间防止心室呈球形化,减少表面法向的游离壁向外运动和心尖向上运动。其次,心包限制了心室游离壁和心尖壁的向内运动,使射血期间房室平面的位移增加了四倍。我们的结果为心包在心电机械心脏功能的生理模拟中的重要性提供了一种机械解释。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1107/7677892/956ce95205bb/gr1.jpg

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