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使用改进的盒计数法对树突形态进行分形分析。

Fractal analysis of dendrite morphology using modified box-counting method.

作者信息

Ristanović Dušan, Stefanović Bratislav D, Puškaš Nela

机构信息

Department of Biophysics, Medical Faculty, University of Belgrade, Serbia.

Department of Histology, Medical Faculty, University of Belgrade, Serbia.

出版信息

Neurosci Res. 2014 Jul;84:64-7. doi: 10.1016/j.neures.2014.04.005. Epub 2014 May 4.

DOI:10.1016/j.neures.2014.04.005
PMID:24800643
Abstract

The box-counting dimension of a non-stellate neuron changes continuously with its rotation. During preprocessing for box-counting, non-stellate neurons should be arranged so that the major diameters of their dendrite fields are parallel. A non-stellate neuronal picture should have the smallest fractal dimension when the angle between the horizontal axis and its major diameter is about 45°. The box-counting method does not consider the position of a picture on the computer screen. Therefore a dispersion of the box dimension values of a neuronal sample is rather large and their mean value is with larger variance. Modified box-counting method partly diminishes these findings. To improve a dependence of neuronal rotation on the box-counting dimension of non-stellate neurons, prior to applying box-counting method, non-stellate neurons should be arranged so that the major diameters of their dendrite fields are parallel.

摘要

非星状神经元的计盒维数随其旋转而连续变化。在计盒预处理过程中,应排列非星状神经元,使其树突场的长轴平行。当水平轴与其长轴之间的夹角约为45°时,非星状神经元图像的分形维数应最小。计盒法不考虑图像在计算机屏幕上的位置。因此,神经元样本的盒维数值分散性相当大,其平均值的方差也较大。改进的计盒法部分减少了这些结果。为了改善神经元旋转对非星状神经元计盒维数的依赖性,在应用计盒法之前,应排列非星状神经元,使其树突场的长轴平行。

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