分形及其理论在医学中的最新研究进展  

Recent Progress of Research and Applications of Fractal and Its Theories in Medicine

作　　者：蔡聪波[1] 王萍[1] 

机构地区：[1]宁波大学医学院解剖组胚系、江省病理生理学技术研究重点实验室,宁波315211

出　　处：《生物医学工程学杂志》2014年第5期1155-1159,共5页Journal of Biomedical Engineering

基　　金：国家自然科学基金资助项目(81071653);宁波市自然科学基金资助项目(2011A610050)

摘　　要：分形是一个数学概念,用来描述具有自相似性和标度不变性的图像。研究发现,机体内大脑皮层表面、视网膜血管网络、心血管、肿瘤血管网络及轮廓和骨小梁等都具有分形特征;分形理论参数可以反映机体内一些疾病发生发展过程中重要因素的变化。对临床疾病分形理论的研究,有助于疾病初期的诊断和治疗,减轻患者的痛苦。此外,研究证实仿生分形表面可以改善体外培养细胞的三维立体结构。因此,对现有仿生分形表面的制备及其在医学领域的应用和分形理论在医学诊断中的价值进行回顾总结颇具意义。本文结合课题组实验室的研究成果,对分形及其理论在医学中的应用作一综述。Fractal,a mathematics concept,is used to describe an image of self-similarity and scale invariance.Some organisms have been discovered with the fractal characteristics,such as cerebral cortex surface,retinal vessel structure,cardiovascular network,and trabecular bone,etc.It has been preliminarily confirmed that the three-dimensional structure of cells cultured in vitro could be significantly enhanced by bionic fractal surface.Moreover,fractal theory in clinical research will help early diagnosis and treatment of diseases,reducing the patient＇s pain and suffering.The development process of diseases in the human body can be expressed by the fractal theories parameter.It is of considerable significance to retrospectively review the preparation and application of fractal surface and its diagnostic value in medicine.This paper gives an application of fractal and its theories in the medical science,based on the research achievements in our laboratory.

关 键 词：分形 分形表面 仿生 分形维数 医学应用 

分 类 号：O189[理学—数学] R-0[理学—基础数学]