Heymans O, Fissette J, Vico P, Blacher S, Masset D, Brouers F
Department of Plastic and Reconstructive Surgery, CHU Sart Tilman, University of Liege, Liege, Belgium.
Med Hypotheses. 2000 Mar;54(3):360-6. doi: 10.1054/mehy.1999.0848.
Fractal geometry has become very useful in the understanding of many phenomena in various fields such as astrophysics, economy or agriculture and recently in medicine. After a brief intuitive introduction to the basis of fractal geometry, the clue is made about the correlation between Df and the complexity or the irregularity of a structure. However, fractal analysis must be applied with certain caution in natural objects such as bio-medical ones. The cardio-vascular system remains one of the most important fields of application of these kinds of approach. Spectral analysis of the R-R interval, morphology of the distal coronary arteries constitute two examples. Other very interesting applications are founded in bacteriology, medical imaging or ophthalmology. In our institution, we apply fractal analysis in order to quantitate angiogenesis and other vascular processes.
分形几何在理解天体物理学、经济学、农业等各个领域的许多现象方面已变得非常有用,最近在医学领域也是如此。在对分形几何的基础进行简要直观介绍之后,阐述了分形维数(Df)与结构的复杂性或不规则性之间的关联。然而,在诸如生物医学等自然物体中应用分形分析时必须格外谨慎。心血管系统仍然是这类方法最重要的应用领域之一。R-R间期的频谱分析、冠状动脉远端的形态学就是两个例子。其他非常有趣的应用见于细菌学、医学成像或眼科。在我们机构,我们应用分形分析来量化血管生成及其他血管过程。