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Modeling of Kidney Hemodynamics: Probability-Based Topology of an Arterial Network

机译:肾脏血流动力学建模:基于概率的动脉网络拓扑

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摘要

Through regulation of the extracellular fluid volume, the kidneys provide important long-term regulation of blood pressure. At the level of the individual functional unit (the nephron), pressure and flow control involves two different mechanisms that both produce oscillations. The nephrons are arranged in a complex branching structure that delivers blood to each nephron and, at the same time, provides a basis for an interaction between adjacent nephrons. The functional consequences of this interaction are not understood, and at present it is not possible to address this question experimentally. We provide experimental data and a new modeling approach to clarify this problem. To resolve details of microvascular structure, we collected 3D data from more than 150 afferent arterioles in an optically cleared rat kidney. Using these results together with published micro-computed tomography (μCT) data we develop an algorithm for generating the renal arterial network. We then introduce a mathematical model describing blood flow dynamics and nephron to nephron interaction in the network. The model includes an implementation of electrical signal propagation along a vascular wall. Simulation results show that the renal arterial architecture plays an important role in maintaining adequate pressure levels and the self-sustained dynamics of nephrons.
机译:通过调节细胞外液量,肾脏可以长期提供重要的血压调节功能。在单个功能单元(肾单位)的水平上,压力和流量控制涉及两种不同的机制,它们均会产生振荡。肾单位排列成复杂的分支结构,将血液输送到每个肾单位,同时为相邻肾单位之间的相互作用提供了基础。这种相互作用的功能后果尚不明确,目前尚无法通过实验解决。我们提供实验数据和一种新的建模方法来阐明此问题。为了解决微血管结构的细节,我们从光学清除的大鼠肾脏中的150多个传入小动脉中收集了3D数据。使用这些结果以及已发布的微计算机断层扫描(μCT)数据,我们开发了一种用于生成肾动脉网络的算法。然后,我们介绍一个数学模型,描述网络中的血流动力学和肾单位与肾单位之间的相互作用。该模型包括沿血管壁传播电信号的实现。模拟结果表明,肾动脉结构在维持足够的压力水平和肾单位自我维持的动态中起着重要作用。

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