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通过计算机断层扫描血管造影术对动静脉畸形进行拓扑分析：第1部分：数学概念。

Topological Analysis for Arteriovenous Malformations via Computed Tomography Angiography: Part 1: Mathematical Concepts.

作者信息

Hata Yuki, Osuga Keigo, Kubo Tateki, Matsuda Ken, Tomita Koichi, Kikuchi Mamoru, Fujiwara Takashi, Yano Kenji, Hosokawa Ko

机构信息

Department of Plastic Surgery, Osaka University Graduate School of Medicine, Osaka, Japan; and Department of Diagnostic and Interventional Radiology, Osaka University Graduate School of Medicine, Osaka, Japan.

出版信息

Plast Reconstr Surg Glob Open. 2014 Sep 8;2(8):e205. doi: 10.1097/GOX.0000000000000163. eCollection 2014 Aug.

DOI:10.1097/GOX.0000000000000163
PMID:25426388
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4236366/
Abstract

BACKGROUND

Evaluating the progression of soft-tissue arteriovenous malformation (AVMs) is still problematic. To establish a quantitative method, we took a morphological approach.

METHODS

Normal blood vessels in early-phase 3D-computed tomography angiography images are theoretically expected to be tree-like structures without loops, whereas AVM blood vessels are expected to be mesh-like structures with loops. Simplified to the utmost limit, these vascular structures can be symbolized with wire-frame models composed of nodes and connecting edges, in which making an extra loop always needs one more of edges than of nodes.

RESULTS

TOTAL AMOUNT OF ABNORMAL VASCULAR STRUCTURES IS ESTIMATED FROM A SIMPLE EQUATION: Number of vascular loops = 1 - ([Number of nodes] - [Number of edges]).

CONCLUSION

Abnormalities of AVM vascular structures can be mathematically quantified using computed tomography angiography images.

摘要

背景

评估软组织动静脉畸形（AVM）的进展仍然存在问题。为了建立一种定量方法，我们采用了形态学方法。

方法

理论上，早期三维计算机断层扫描血管造影图像中的正常血管应为无环的树状结构，而AVM血管应为有环的网状结构。简化到极限，这些血管结构可用由节点和连接边组成的线框模型来表示，其中形成一个额外的环总是需要比节点多一条边。

结果

从一个简单的等式估计异常血管结构的总量：血管环数 = 1 - （[节点数] - [边数]）。

结论

可以使用计算机断层扫描血管造影图像对AVM血管结构的异常进行数学量化。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/03a74a579123/gox-2-e205-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/321cee9cb38a/gox-2-e205-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/b8ec03c41e72/gox-2-e205-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/03a74a579123/gox-2-e205-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/321cee9cb38a/gox-2-e205-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/b8ec03c41e72/gox-2-e205-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4641/4236366/03a74a579123/gox-2-e205-g004.jpg

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Medicina (Kaunas). 2012;48(8):388-98.
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