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一维流体动力学模型中动态出口边界条件的评估。

An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model.

机构信息

Department of Biomedical Engineering, North Carolina State University, Raleigh, NC 27695-7115, USA.

出版信息

Math Biosci Eng. 2012 Jan 1;9(1):61-74. doi: 10.3934/mbe.2012.9.61.

DOI:10.3934/mbe.2012.9.61
PMID:22229396
Abstract

When modeling the cardiovascular system, the use of boundary conditions that closely represent the interaction between the region of interest and the surrounding vessels and organs will result in more accurate predictions. An often overlooked feature of outlet boundary conditions is the dynamics associated with regulation of the distribution of pressure and flow. This study implements a dynamic impedance outlet boundary condition in a one-dimensional fluid dynamics model using the pulmonary vasculature and respiration (feedback mechanism) as an example of a dynamic system. The dynamic boundary condition was successfully implemented and the pressure and flow were predicted for an entire respiration cycle. The cardiac cycles at maximal expiration and inspiration were predicted with a root mean square error of 0.61 and 0.59 mm Hg, respectively.

摘要

在对心血管系统进行建模时,使用更能准确反映感兴趣区域与周围血管和器官相互作用的边界条件,将得到更精确的预测结果。出口边界条件的一个常被忽视的特征是与压力和流量分布调节相关的动力学。本研究以肺部脉管系统和呼吸(反馈机制)为例,在一维流体动力学模型中实现了动态阻抗出口边界条件。成功实现了动态边界条件,并预测了整个呼吸周期的压力和流量。最大呼气和吸气时的心动周期的预测值的均方根误差分别为 0.61 和 0.59mmHg。

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