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封闭网络中的流量分布:测量站点的最小集合

Flow distribution in closed networks: minimal sets of measuring sites.

作者信息

Wetter T, Repges R

出版信息

Biometrics. 1984 Mar;40(1):85-94.

PMID:6733236
Abstract

In microvascular research it is of great importance to know how the flow of blood is distributed to all the vessels in a capillary network. However, it is generally impossible to obtain simultaneous measurements of the flow values in all branches of a network. A method of selecting minimal subsets of branches is presented, by which the flow measurements in these branches can be used to compute the flow values in all other branches. It is sufficient to measure between half and one-third of the branch flows. The experimenter can also specify a subset of the branches as inaccessible to measurement; nevertheless the method allows him to decide whether determination of all flows is possible from the remaining branches, and in which branches the measuring devices should then be optimally placed.

摘要

在微血管研究中,了解血液如何分布到毛细血管网络中的所有血管至关重要。然而,通常不可能同时测量网络所有分支中的流量值。本文提出了一种选择最小分支子集的方法,通过该方法,这些分支中的流量测量值可用于计算所有其他分支中的流量值。测量一半到三分之一的分支流量就足够了。实验者还可以指定一部分分支无法进行测量;尽管如此,该方法仍能让他确定是否可以从其余分支中确定所有流量,以及测量设备应最佳放置在哪些分支中。

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