Pham Tuan D, Müller Catharina C, Crane Denis I
School of Information Technology and Electrical Engineering, The University of New SouthWales, Canberra, A.C.T. 2600, Australia.
IEEE Trans Inf Technol Biomed. 2009 Jul;13(4):629-35. doi: 10.1109/TITB.2009.2019638. Epub 2009 Apr 14.
Scaling behavior inherently exists in fundamental biological structures, and the measure of such an attribute can only be known at a given scale of observation. Thus, the properties of fractals and power-law scaling have become attractive for research in biology and medicine because of their potential for discovering patterns and characteristics of complex biological morphologies. Despite the successful applications of fractals for the life sciences, the quantitative measure of the scale invariance expressed by fractal dimensions is limited in more complex situations, such as for histopathological analysis of tissue changes in disease. In this paper, we introduce the concept of fuzzy scaling and its analysis of a mouse mutant with postnatal brain morphological changes.
标度行为本质上存在于基本的生物结构中,而这种属性的度量只能在给定的观察尺度下得知。因此,分形和幂律标度的特性因其在发现复杂生物形态的模式和特征方面的潜力,而在生物学和医学研究中变得颇具吸引力。尽管分形在生命科学中得到了成功应用,但在更复杂的情况下,例如对疾病中组织变化的组织病理学分析,由分形维数表示的尺度不变性的定量度量是有限的。在本文中,我们引入了模糊标度的概念及其对具有出生后脑形态变化的小鼠突变体的分析。