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分形维数作为正常和腺瘤性垂体组织微血管系统的定量指标。

Fractal dimension as a quantitator of the microvasculature of normal and adenomatous pituitary tissue.

作者信息

Di Ieva Antonio, Grizzi Fabio, Ceva-Grimaldi Giorgia, Russo Carlo, Gaetani Paolo, Aimar Enrico, Levi Daniel, Pisano Patrizia, Tancioni Flavio, Nicola Giancarlo, Tschabitscher Manfred, Dioguardi Nicola, Baena Riccardo Rodriguez Y

机构信息

Department of Neurosurgery, Istituto Clinico Humanitas IRCCS, Rozzano, Milan, Italy.

出版信息

J Anat. 2007 Nov;211(5):673-80. doi: 10.1111/j.1469-7580.2007.00804.x. Epub 2007 Sep 3.

Abstract

It is well known that angiogenesis is a complex process that accompanies neoplastic growth, but pituitary tumours are less vascularized than normal pituitary glands. Several analytical methods aimed at quantifying the vascular system in two-dimensional histological sections have been proposed, with very discordant results. In this study we investigated the non-Euclidean geometrical complexity of the two-dimensional microvasculature of normal pituitary glands and pituitary adenomas by quantifying the surface fractal dimension that measures its space-filling property. We found a statistical significant difference between the mean vascular surface fractal dimension estimated in normal versus adenomatous tissues (P = 0.01), normal versus secreting adenomatous tissues (P = 0.0003), and normal versus non-secreting adenomatous tissues (P = 0.047), whereas the difference between the secreting and non-secreting adenomatous tissues was not statistically significant. This study provides the first demonstration that fractal dimension is an objective and valid quantitator of the two-dimensional geometrical complexity of the pituitary gland microvascular network in physiological and pathological states. Further studies are needed to compare the vascular surface fractal dimension estimates in different subtypes of pituitary tumours and correlate them with clinical parameters in order to evaluate whether the distribution pattern of vascular growth is related to a particular state of the pituitary gland.

摘要

众所周知,血管生成是一个伴随肿瘤生长的复杂过程,但垂体瘤的血管化程度低于正常垂体。已经提出了几种旨在量化二维组织学切片中血管系统的分析方法,结果差异很大。在本研究中,我们通过量化测量其空间填充特性的表面分形维数,研究了正常垂体和垂体腺瘤二维微血管的非欧几里得几何复杂性。我们发现,正常组织与腺瘤组织(P = 0.01)、正常组织与分泌性腺瘤组织(P = 0.0003)以及正常组织与非分泌性腺瘤组织(P = 0.047)之间估计的平均血管表面分形维数存在统计学显著差异,而分泌性腺瘤组织与非分泌性腺瘤组织之间的差异无统计学意义。本研究首次证明,分形维数是生理和病理状态下垂体微血管网络二维几何复杂性的客观有效定量指标。需要进一步研究比较不同亚型垂体瘤的血管表面分形维数估计值,并将它们与临床参数相关联,以评估血管生长的分布模式是否与垂体的特定状态有关。

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