title: Fractal and nonfractal analysis of cell images: comparison and application to neuronal dendritic arborization.
abstract: 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.
authors.affiliation: Department of Biophysics School of Medicine, University of Belgrade, Visegradska 26, 11000 Belgrade, Yugoslavia. dusan@ristanovic.com
authors.forename: D
authors.initials: D
authors.lastname: Ristanović
authors.forename: V
authors.initials: V
authors.lastname: Nedeljkov
authors.forename: B D
authors.initials: BD
authors.lastname: Stefanović
authors.forename: N T
authors.initials: NT
authors.lastname: Milosević
authors.forename: M
authors.initials: M
authors.lastname: Grgurević
authors.forename: V
authors.initials: V
authors.lastname: Stulić
mesh_terms: D000818:Animals; D016764:Cell Polarity / Q000502:physiology; D048429:Cell Size / Q000502:physiology; D003712:Dendrites / Q000502:physiology / Q000648:ultrastructure*; D017709:Fractals; D007091:Image Processing, Computer-Assisted; D051381:Rats; D016622:Silver Staining; D013116:Spinal Cord / Q000166:cytology* / Q000502:physiology