Rybaczuk Marek, Kedzia Alicja, Paradowski Leszek
Institute of Materials Science and Applied Mechanics, Wroclaw University of Technology, Poland.
Med Sci Monit. 2002 Aug;8(8):MT145-52.
Studies of human telencephalon during the fetal period are rare. Recent technologies, such as the Pickworth method, ultraviolet, infrared, and computer image systems, now enable the observation of such barely accessible structures. The present study constitutes an evaluation of the microangioarchitecture of brain vessels during the fetal period and the creation of a fractal model to describe it. Studies formulated in the language of fractals have never previously been applied in modeling brain vessels.
MATERIAL/METHODS: We studied 100 brains in the 4th to 8th month of fetal life, using the Pickworth method, computer image analysis under three different systems, the POV-RAY program, and fractal analysis.
The POV-RAY program was used to generate 3-dimensional, tree-like structures. This requires three scaling parameters: length, vessel diameter, and the angle between the branches and the central axis. The vessel structure was modeled by fractals with condensation point. Moreover, these tree-like fractals have different one-sided dimensions. In making fractal models we treated these one-sided dimensions as numerically evaluated parameters of the theory. Of course, the accuracy of the proposed models depends upon the accurate prediction by a fractal of the examined structure.
Brain vessels can be modeled with the help of fractals with condensation points, which have differentiated one-sided dimensions.
关于胎儿期人类端脑的研究很少。最近的技术，如皮克沃思方法、紫外线、红外线和计算机图像系统，现在能够观察到这类难以触及的结构。本研究旨在评估胎儿期脑血管的微血管构筑，并创建一个分形模型来描述它。以前从未有过用分形语言表述的研究应用于脑血管建模。
材料/方法：我们使用皮克沃思方法、在三种不同系统下的计算机图像分析、POV-RAY程序和分形分析，研究了100例处于胎儿期第4至8个月的大脑。
POV-RAY程序用于生成三维树状结构。这需要三个缩放参数：长度、血管直径以及分支与中心轴之间的角度。血管结构用具有凝聚点的分形进行建模。此外，这些树状分形具有不同的单侧维度。在制作分形模型时，我们将这些单侧维度视为该理论的数值评估参数。当然，所提出模型的准确性取决于分形对所研究结构的准确预测。
脑血管可以借助具有凝聚点且单侧维度不同的分形来建模。
