FRACTAL AND SPATIAL DISTRIBUTION OF PULMONARY BLOOD FLOW

分形学和分形学是革命性的数学 被许多人吹捧为自然的普遍几何的概念。这些新的 概念非常适合用来刻画 生理形态和功能，以前被描述为 随机的。他们提供了新的视角和新的见解 肺生理学。拟议的工作将使用分形分析来 进一步刻画肺组织的异质性和空间相关性 血流分布。将使用三种相互关联的方法。一个 空间相关性的新概念，直接从分形概念衍生而来， 将提供一种量化血液流动相似程度的方法 在肺的空间相关区域之间。我们将进行一些实验 它将量化重力的相对影响，即 血管树和血管舒张度对血液局部异质性的影响 流。这些因素对血液空间相关性的影响 还将对Flow进行调查。泥石流的三维分维模型 肺血流将被开发，并将纳入知识 从上述研究中获得的影响准确地描绘了 肺血管。树和重力对血液分布的影响。 与目前公认的引力模型相比，分数维模型 将提供更真实的血液流动表示 微循环和气体交换水平。

Fractals and fractal analysis are revolutionary mathematical concepts, touted by many as the universal geometry of nature. These new concepts are ideally suited to characterize the natural variability in physiologic form and function which have previously been described as random. They are providing new perspectives and fresh insights into pulmonary physiology. The proposed work Will use fractal analysis to further characterize the heterogeneity and spatial correlation of pulmonary blood flow distribution. Three interrelated approaches will be used. A new concept of spatial correlation, derived directly from fractal concepts, will provide a means of quantifying the degree of similarity in blood flow between spatially related regions of lung. Experiments will be performed which will quantify the relative effects of gravity, the structure of the vascular tree, and vasomotor tone on the regional heterogeneity of blood flow. The influence of these factors on the spatial correlation of blood flow will also be investigated. A three dimensional fractal model of pulmonary blood flow will be developed and will incorporate the knowledge obtained from the above studies to accurately depict the influences of the pulmonary vascular. tree and gravity on the distribution of blood. Compared to the currently accepted gravitational model, the fractal model will provide a more faithful representation of blood flow at the microcirculatory and gas exchange level.