In this work we provide a novel energy-consistent formulation for the classical 1D formulation of blood flow in an arterial segment. The resulting reformulation is shown to be suitable for the coupling with a lumped (0D) model of the heart that incorporates a reduced formulation of the actin-myosin interaction. The coupling being consistent with energy balances, we provide a complete heart-circulation model compatible with thermodynamics hence stable numerically and informative physiologically. These latter two properties are verified by numerical experiments.

中文翻译：

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通过能量一致策略耦合降阶血流和心脏模型：建模和离散化

在这项工作中，我们为动脉段血流的经典一维公式提供了一种新的能量一致公式。结果表明，所得的重新制定适用于与心脏的集总 (0D) 模型耦合，该模型结合了肌动蛋白-肌球蛋白相互作用的简化公式。这种耦合与能量平衡一致，我们提供了一个与热力学兼容的完整心脏循环模型，因此在数值和生理信息上是稳定的。后两种性质通过数值实验得到验证。