Morphometric features of the venous vasculature in spleen as a fractal system

A. S. Dadashev, I. Miltykh, O. Zenin, E. Kafarov
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Abstract

The aim of the study is to determine the morphometric features of splenic vasculature structural components (biounits, BU) of various kinds in individuals of different sex and age. Material and methods. The paper is based on the results of morphometric study of corrosion casts of splenic venous vasculature of 64 people (32 men, 32 women) at the age of 21 to 60 years (32 first period of adulthood, 32 second period of adulthood), deceased from sudden death and accidental causes. The study was conducted in compliance with ethical principles, including the World Medical Association’s Declaration of Helsinki. The diameters (D) and lengths (L) of the venous segments constituting BU were measured. Splenic venous vasculature was represented as a system consisting of three types of BU: 1 BU – the proximal segment diameter (D) is less than the sum of the diameters of distal segments (dmax and dmin) associated with it, D < dmax + dmin; 0 BU – D = dmax + dmin; 2 BU – D > dmax + dmin. Results. All three kinds of BUs were identified; there was a significant relationship between the relative number of BUs of different kinds, sex and age group; the sizes of all three kinds of BUs were determined; 1 BU was the largest and 0 BU was the smallest; 0 BU was the most symmetrical and 2 BU was the most asymmetrical; the relative number of 1 BU decreased, 0 BU increased, and 2 BU practically did not change in the direction from proximal to distal parts of the channel. BUs of the 1st kind have the largest diameter of proximal segments, while 2 BUs occupy the middle position in the range of values of the investigated parameters. The smallest diameter belongs to 0 BU. As for the length of segments L, the maximum values are typical for 1 BU, the minimum – for 2 BU, and the middle position in the series is occupied by 0 BU. Conclusions. The results obtained can serve as a foundation for the creation of a morphometric standard of splenic venous vasculature, and should be considered in its numerical modelling.
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作为分形系统的脾脏静脉血管形态特征
研究的目的是确定不同性别和年龄个体的各种脾脏血管结构成分(biounits,BU)的形态特征。材料和方法本文基于对 64 名 21 至 60 岁(32 名男性,32 名女性)因猝死和意外原因死亡者(32 名成年第一期,32 名成年第二期)的脾静脉血管腐蚀铸模进行形态计量学研究的结果。这项研究符合伦理原则,包括世界医学协会的《赫尔辛基宣言》。测量了构成 BU 的静脉段的直径(D)和长度(L)。脾静脉血管被表示为由三种类型的 BU 组成的系统:1 BU - 近端静脉段直径(D)小于与其相关的远端静脉段直径(dmax 和 dmin)之和,D < dmax + dmin;0 BU - D = dmax + dmin;2 BU - D > dmax + dmin。结果。确定了三种 BU 的大小:1 BU 最大,0 BU 最小;0 BU 最对称,2 BU 最不对称;1 BU 的相对数量从通道近端向远端方向减少,0 BU 的相对数量增加,2 BU 的相对数量几乎没有变化。第 1 种 BU 的近端直径最大,而第 2 种 BU 在调查参数值范围内处于中间位置。直径最小的是 0 BU。至于节段的长度 L,最大值通常为 1 BU,最小值为 2 BU,而 0 BU 则处于中间位置。结论所获得的结果可作为建立脾静脉血管形态计量标准的基础,并应在其数值建模中加以考虑。
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