Fractal and nonfractal analysis of cell images: comparison and application to neuronal dendritic arborization
| Autor: | Nebojša T. Milošević, V. Nedeljkov, Bratislav D. Stefanović, V. Stulic, M. Grgurevic, Dušan Ristanović |
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| Rok vydání: | 2002 |
| Předmět: |
Silver Staining
animal structures General Computer Science Geometry Fractal dimension 03 medical and health sciences Dendrite (crystal) 0302 clinical medicine Fractal Dendritic Arborization Image Processing Computer-Assisted Animals natural sciences Cell Size 030304 developmental biology Mathematics 0303 health sciences Cell Polarity Dendrites respiratory system Fractal analysis Rats Golgi impregnation Fractals Spinal Cord Biological system 030217 neurology & neurosurgery circulatory and respiratory physiology Biotechnology |
| Zdroj: | Biological Cybernetics. 87:278-288 |
| ISSN: | 0340-1200 |
| DOI: | 10.1007/s00422-002-0342-1 |
| Popis: | Neurons of the rat spinal cord were stained using the Golgi impregnation method. Successfully impregnated neurons from laminae II, III, and VI were subjected to fractal and nonfractal analyses. Fractal analysis was performed using length-related techniques. Since an application of fractal methods to the analysis of dendrite arbor structures requires caution, we adopted as appropriate a nonfractal method proposing a generalized power-law model with two main nonfractal parameters: (i) the anfractuosity, characterizing the degree of dendritic deviation from straight lines; and (ii) an estimate of the total length of arbor dendrites. The anfractuosity can distinguish between two sets of drawings where the fractal methods failed. We also redefine some basic concepts of fractal geometry, present the ruler-counting method, and propose a new definition of fractal dimension. |
| Databáze: | OpenAIRE |
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