FRACTAL SPATIAL DISTRIBUTIONS OF INTRAORGAN FLOWS

先前已经发现了两种不同的分形描述 足以描述区域内流动的异质性， 心脏和肺超过200倍的体素大小范围;一个是基于 统计自相似性，另一个自相似分支 算法 这两种方法给出了预测的异质性， 心脏中的100微克水平相差两倍， 但两者都与现有数据兼容， 足够准确。 该项目的目标是开发 用于分析实验的方法，所述实验提供覆盖 三个数量级的差距，从以前的数据的水平， 预测，并以两种方式解决差异：首先， 开发描述血管网络的新方法， 整个可观测数据范围（大约五到六个数量级） 第二，作为工作假设， 在整个范围内拟合数据的方法。

Two different fractal descriptions have been previously found adequate to describe the heterogeneity of regional flows within the heart and lung over a 200-fold range of voxel sizes; one was based on statistical self similarity, the other on a self-similar branching algorithm. The two methods gave predictions of the heterogeneity at the 100 microgram level in the heart that differed by a factor of two, but were both compatible with the available data, which is not sufficiently accurate. The goals of this project are to develop methods for analyzing experiments providing data covering the three-order of magnitude gap from the previous data to the level of prediction, and to resolve the disparity in two ways: firstly, to develop new methods of describing the vascular network that cover the whole range of observable data (about five to six orders of magnitude) and secondly, to develop as working hypotheses those fractal approaches that do fit the data over the whole range.