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一种计算效率高且生理全面的心脏与循环系统三维-零维闭环模型。

A computationally efficient physiologically comprehensive 3D-0D closed-loop model of the heart and circulation.

作者信息

Augustin Christoph M, Gsell Matthias A F, Karabelas Elias, Willemen Erik, Prinzen Frits W, Lumens Joost, Vigmond Edward J, Plank Gernot

机构信息

Gottfried Schatz Research Center: Division of Biophysics, Medical University of Graz, Graz, Austria.

Department of Biomedical Engineering, CARIM School for Cardiovascular Diseases, Maastricht University, Maastricht, Netherlands.

出版信息

Comput Methods Appl Mech Eng. 2021 Aug 18;386:114092. doi: 10.1016/j.cma.2021.114092. eCollection 2021 Dec 1.

Abstract

Computer models of cardiac electro-mechanics (EM) show promise as an effective means for the quantitative analysis of clinical data and, potentially, for predicting therapeutic responses. To realize such advanced applications methodological key challenges must be addressed. Enhanced computational efficiency and robustness is crucial to facilitate, within tractable time frames, model personalization, the simulation of prolonged observation periods under a broad range of conditions, and physiological completeness encompassing therapy-relevant mechanisms is needed to endow models with predictive capabilities beyond the mere replication of observations. Here, we introduce a universal feature-complete cardiac EM modeling framework that builds on a flexible method for coupling a 3D model of bi-ventricular EM to the physiologically comprehensive 0D model representing atrial mechanics and closed-loop circulation. A detailed mathematical description is given and efficiency, robustness, and accuracy of numerical scheme and solver implementation are evaluated. After parameterization and stabilization of the coupled 3D-0D model to a limit cycle under baseline conditions, the model's ability to replicate physiological behaviors is demonstrated, by simulating the transient response to alterations in loading conditions and contractility, as induced by experimental protocols used for assessing systolic and diastolic ventricular properties. Mechanistic completeness and computational efficiency of this novel model render advanced applications geared towards predicting acute outcomes of EM therapies feasible.

摘要

心脏电机械(EM)的计算机模型有望成为临床数据定量分析以及预测治疗反应的有效手段。要实现此类先进应用,必须应对方法学上的关键挑战。提高计算效率和鲁棒性对于在可处理的时间范围内促进模型个性化、在广泛条件下模拟长时间观察期至关重要,并且需要包含与治疗相关机制的生理完整性,以使模型具有超越单纯观察复制的预测能力。在此,我们引入了一个通用的特征完备的心脏EM建模框架,该框架基于一种灵活的方法,将双心室EM的三维模型与代表心房力学和闭环循环的生理综合零维模型相耦合。给出了详细的数学描述,并评估了数值格式和求解器实现的效率、鲁棒性和准确性。在将耦合的三维-零维模型在基线条件下参数化并稳定到极限环后,通过模拟由用于评估心室收缩和舒张特性的实验方案所诱导的负荷条件和收缩性改变的瞬态反应,证明了该模型复制生理行为的能力。这种新型模型的机制完整性和计算效率使得针对预测EM治疗急性结果的先进应用成为可能。

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