肾小球微血管网络的图论分析

A graph theory analysis of renal glomerular microvascular networks.

作者信息

Wahl Eric M, Quintas Louis V, Lurie Lorraine L, Gargano Michael L

机构信息

The New York Institute for Bioengineering and Health Science, New York, NY 10011, USA.

出版信息

Microvasc Res. 2004 May;67(3):223-30. doi: 10.1016/j.mvr.2003.11.005.

DOI:10.1016/j.mvr.2003.11.005

PMID:15121447

Abstract

A graph theory model and its invariants are used to compare previously published renal glomerular networks of six adult rats, one adult uremic rat, and one newborn rat. Invariants calculated include order, size, cycle rank, eccentricity, root distance, planarity, and vertex degree distribution. These invariants enabled the differentiation of six normal adult glomerular microvascular networks from that of the uremic glomerulus and from that of the normal newborn glomerulus. These invariants might then be used to differentiate between normal and pathological vascular networks. Also proposed are graph theory invariants that might be used to develop a quantitative model for angiogenesis.

摘要

利用一种图论模型及其不变量来比较先前发表的六只成年大鼠、一只成年尿毒症大鼠和一只新生大鼠的肾小球网络。计算的不变量包括阶数、大小、圈秩、离心率、根距离、平面性和顶点度分布。这些不变量能够将六个正常成年肾小球微血管网络与尿毒症肾小球以及正常新生肾小球的网络区分开来。这些不变量随后可用于区分正常和病理性血管网络。还提出了一些图论不变量，可用于开发血管生成的定量模型。