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《Chinese Journal of Interventional Imaging and Therapy》 2008-03
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Biological fractal theory and its applications in medical imaging

LI He-hong,LUO Liang-ping(Department of Radiology,the First Clinical Medical College,Jinan University,Guangzhou 510632,China)  
From determining character scantly to fixing quantify of the medical images,an inevitable consequence of developmental medical imaging exists.Biological fractal offers new support for this trend in theory.Biological fractal theory researches the relationship between the internal parts and the whole body of organisms,the influence on biochemical composition,morphology,physiology and pathology as well.The diagnosis of the tumor in brain and electrophysiological reflection of the psychology can be analyzed by fractal dimension to implement quantitative validation on morphology.The fractal feature which the fractal dimension exceeding topological dimension consists in various growth of tumor.The recognition of normal tissue and pathological tissue can be quantitatively analyzed by measuring fractal dimension on the textural feature.Fractal analyzing can be used in studying generation of the tumor blood vessel.Fractal researching has great potentiality in studying the function of air diffusion transferring in lung.Multilevel fractal research can be used in studying gene imaging on molecule imaging.Although having developed a complex system,the fractal theory still finds initially application in domain of medicine.The variety values of the fractal dimension make absence of uniform algorithm which have strict definition and convenient program of mathematics.Usually quantitative method cannot be applied in primal medicine images,the pictures must be simplified to stress the feature of biological fractal by weeding out superfluities,the fractal dimension of different organ must be validated by collecting a vast amount of statistic in order to provide reliable quantitative diagnosis,and more application of new content also need hard explore.However,there is an important idea "Parts similar to whole" implicated in biological fractal theory,which have utterly superiority of dialectical unity as well as quantitative and nature.Further application of biological fractal will greatly promote the development of medical imaging.
【Key Words】: Biological fractal Fractal dimension Medical imaging
【Fund】: 国家自然科学基金项目(30772303);; 广东省科学事业费计划项目(2006B36004009)
【CateGory Index】: R445
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