THE FRACTAL PROPERTIES OF RETINAL-VESSELS - EMBRYOLOGICAL AND CLINICAL IMPLICATIONS
THE FRACTAL PROPERTIES OF RETINAL-VESSELS - EMBRYOLOGICAL AND CLINICAL IMPLICATIONS
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DOI：
10.1038/eye.1990.33
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发表时间：
1990-01-01
期刊：
影响因子：
3.9
通讯作者：
MAINSTER, MA
中科院分区：
文献类型：
--
作者：
MAINSTER, MA
视网膜动脉和静脉系统的分支模式具有分形性，即局部与整体相似的几何模式。对荧光素血管造影图像进行数字化处理和分析，表明视网膜和静脉图样的分维为1.63。+-。0.05和1.71+-。0.07，与1.68+-一致。扩散限制聚集的0.05个维度。这一发现引发了人们的猜测，即视网膜血管生成的控制因素可能遵循拉普拉斯的S方程，胚胎无细胞空间分布的波动提供了分形行为所需的随机性，也为每个人视网膜血管图案的唯一性提供了所需的随机性。由于分维表征了血管图案如何完整地覆盖整个视网膜，因此它们可以洞察血管图案与视网膜疾病之间的关系。与经典几何学相比，分形几何学对眼部解剖和病理学提供了更准确的描述，并为提出眼科实践中看到的复杂几何图案的问题提供了一种新的语言。
The branching patterns of retinal arterial and venous systems have characteristics of a fractal, a geometrical pattern whose parts resembled the whole. Flourescein angiogram collages were digitises and analysed, demonstrating that retinal and venous patterns have fractal dimensions of 1.63 .+-. 0.05 and 1.71 .+-. 0.07, respectively, consistent with the 1.68 .+-. 0.05 dimensions of diffusion limited aggregation. This finding prompts speculation that factors controlling retinal angiogenesis may obey Laplace''s equation, with fluctuations in the distribution of embryonic cell-free spaces providing the randomness needed for fractal bahaviour and for the uniqueness of each individual''s retinal vascular pattern. Since fractal dimensions characterise how completely vascular pattern. Since fractal dimensions characterise how completely vascular patterns span the retina, they can provide insight into the relationship between vascular patterns and retinal disease. Fractal geometry offers a more accurate description of ocular anatomy and pathology than classical geometry, and provides a new language for posing questions about the complex geometrical patterns that are seen in ophthalmic practice.