微血管手术中血管几何和围度的数学建模。

IF 0.8 Q4 DENTISTRY, ORAL SURGERY & MEDICINE
Stacey Nedrud, Yoram Fleissig, Alba Sanjuan-Sanjuan, Anthony Bunnell, Rui Fernandes
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引用次数: 0

摘要

传统的微血管吻合是在最宽的直径处垂直横切血管,以增加周长,从而增加血流量,同时减少阻力。在Chen 2015年的文章中,有人建议“开放的Y”可以改善血管尺寸匹配,Wei和Mardini讨论了血管的角度横切。本项目旨在探索在吻合口横断处可行的几何构型,并对由此产生的假设周长增加进行数学建模。材料和方法:数学模型是由我们的团队在理论上建立的。该公式模型在不同距离处的横断面周长随血管分叉而增加,以及在不同横断面角度处的周长变化。在10个家禽组织标本上对各几何切口的吻合可行性进行了体外探索。结果:数学模型反映了血管周长的变化,计算了多种几何设计,以图表的形式表现得最好。例如,血管宽度为1mm,增大的血管直径到最终分叉处的距离为1mm,分叉角为45°,则横切血管的周长增加82.8%。不同角度(如30°、45°和60°)的横切模型,其椭圆周长分别增加8.0%、22.5%和58.1%。附加的推导计算在单个容器的任何角度下的椭圆周长,以及在分叉容器的任何角度下的椭圆周长。结论:本课题的理论和临床目的是提高人们对吻合口创造性的认识,并从数学上展示最佳吻合口几何形状,这是我们所知尚未客观探索的。一项体内研究将进一步支持临床改进,目的是通过几何吻合来绘制术后流体动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical Modeling of Vessel Geometry and Circumference in Microvascular Surgery.

Introduction: Microvascular anastomosis has traditionally been executed with a perpendicular transection through the vessel at the widest diameter to increase circumference and thus increase blood flow while decreasing resistance. In Chen's 2015 article, it was suggested that an "open Y" would improve vessel size match, and Wei and Mardini discuss angled transections of the vessels. This project aims to explore the geometric configurations feasible at the anastomotic transection and mathematically model the resulting hypothetical increases in circumference.

Materials and methods: The mathematical models were theoretically developed by our team. The formulas model increases in circumference of the transection at different distances in relation to the bifurcation of a blood vessel, as well as changes in circumference at different transection angulations. An in vitro exploration as to the anastomotic feasibility of each geometric cut was completed on ten poultry tissue specimens.

Results: The mathematical models demonstrated the change in vessel circumference, with multiple geometric designs calculated, best shown through diagrams. For example, if the vessel width is 1 mm, the distance from the increasing vessel diameter to the final bifurcation is 1 mm, and the bifurcation angle is 45°, the circumference of the transected vessel increases by 82.8%. Models of transections at different angulations, for instance 30°, 45°, and 60°, yield an increase in elliptical circumference of 8.0%, 22.5%, and 58.1%, respectively. Additional derivations calculate the elliptical circumference at any angle in a single vessel, and at any angle in a bifurcating vessel.

Conclusion: The theoretical and clinical aim of this project is to increase awareness of the anastomotic creativity and mathematically demonstrate the optimal anastomotic geometry, which has not been objectively explored to our knowledge. An in vivo study would further support clinical improvements, with the aim to map postoperative fluid dynamics through the geometric anastomoses.

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来源期刊
Craniomaxillofacial Trauma & Reconstruction
Craniomaxillofacial Trauma & Reconstruction DENTISTRY, ORAL SURGERY & MEDICINE-
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