Fractal analysis of ganglion cell dendritic branching patterns of the rat and cat retinae

Morigiwa, Katsuko; Tauchi, Masaki; Fukuda, Yutaka

doi:10.1016/0921-8696(89)90015-7

Cited by 50 publications

(51 citation statements)

References 11 publications

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“…(Cleland and Levick, 1974;Stone and Fukuda, 1974). Differences in the fractal dimensions of retinal ganglion cells have been previously reported by Morigiwa et al (1989), who described significant differences in the fractal dimensions of ON-and OFF-type ganglion cells in the cat retina.…”

Section: Analysis Of Characterized Cellssupporting

confidence: 63%

“…To extend these methods to 3 dimensions, we counted all the mass (pixels) inside spheres of various radii instead of disks. For comparison, we also analyzed neurons using the box-counting method (Morigiwa et al, 1989) which covers the image with boxes of various sizes and the coastline method. The coastline method is equivalent to using the box-counting method to analyze only the border outline or coastline of the neuron.…”

Section: Methodology For Fractal Analysismentioning

confidence: 99%

“…Morigiwa et al (1989) and Montague and Friedlander (1989) used mass-box counting to study the log M versus log r relationship of neurons. In the present report, we found the d,s of neurons calculated by box counting to be lower than that by the cumulative-mass method.…”

Section: Methodology Of Fractal Analysi~mentioning

confidence: 99%

“…Fractal analysis has also been used to describe how completely a neuron fills its dendritic field or the straightness of individual dendrites (Montague and Friedlander,199 1). However, previous studies have used the following different methods for calculating the fractal dimension (d,) of a neuron: cumulative-mass (Caserta et al, 1990), box counting (Morigiwa et al, 1989) and coastline measurement (Smith et al, 1989). The use of different methods of fractal analysis has made comparison of results difficult because each method of determination can give slightly different results when used to analyze the same structure.…”

Section: Introductionmentioning

confidence: 99%

“…We did this by analyzing several neurons in both 2 and 3 dimensions using the cumulative-mass method, and comparing the results. Finally, previous fractal analysis studies have largely been performed on neurons whose physiological A properties have not been directly assessed Friedlander, 1989, 1991;Morigiwa et al, 1989;Smith et al, 1989;Caserta et al, 1990). This left open the question of whether there is a correlation between the fractal dimension and physiology of a given cell.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Determination of fractal dimension of physiologically characterized neurons in two and three dimensions

Caserta

Eldred

Fernández

et al. 1995

Journal of Neuroscience Methods

156

126

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Although there is a growing interest in the application of fractal analysis in neurobiology, questions about the methodology have restricted its wider application. In this report we discuss some of the underlying principles for fractal analysis. we propose the cumulative-mass method as a standard method and we extend the applicability of fractal analysis to both 2 and 3 dimensions. We have examined the relationship between the method of log-log Sholl analysis and fractal analysis and have found that they correlate well. Measurements of physiologically characterized retinal ganglion cells indicate that different cell types can have significantly different fractal dimensions. Such differences may allow the correlation of the physiological type of a neuron with its morphological fractal dimension.

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Section: Analysis Of Characterized Cellssupporting

confidence: 63%

Section: Methodology For Fractal Analysismentioning

confidence: 99%

Section: Methodology Of Fractal Analysi~mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Determination of fractal dimension of physiologically characterized neurons in two and three dimensions

Caserta

Eldred

Fernández

et al. 1995

Journal of Neuroscience Methods

156

126

View full text Add to dashboard Cite

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Retinal ganglion cells in the South American opossum (Didelphis aurita)

2000

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Complexity analysis of oligodendroglial processes expressing myelin-associated glycoprotein

et al. 1996

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Oligodendroglia synthesize myelin in the mammalian central nervous system. Mature oligodendroglia have been identified in culture by two criteria: the expression of molecules characteristic of myelin, such as galactocerebroside (galC) and myelin‐associated glycoprotein (MAG), and the elaboration of complex processes. Myelin gene expression can be documented by the binding of specific antibodies and antisera to the myelin‐specific molecules; process complexity can be described by the fractal dimension, D. In this study, anti‐MAG antisera was used to document MAG expression in the processes of oligodendroglia. Eighty percent of the galC+ oligodendroglia bound anti‐MAG antiserum. With time in culture, MAG immunoreactivity seemed to extend from the cell soma into the oligodendroglial processes. To quantify this observation, fractal dimensions were calculated using either galC or MAG immunoreactivity to visualize oligodendroglial processes. A fractal dimension of 1.5 was calculated for O1+ processes by day 4 of culture; this value for D remained constant over the course of 1 month in culture. The fractal dimension calculated for MAG+ processes increased from 1.2 to 1.5 over the course of 28 days in culture. This change in fractal dimension confirms our visual impression that galC‐containing processes acquire MAG slowly over the course of several weeks in culture. © 1996 Wiley‐Liss, Inc.

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Fractal analysis of ganglion cell dendritic branching patterns of the rat and cat retinae

Cited by 50 publications

References 11 publications

Determination of fractal dimension of physiologically characterized neurons in two and three dimensions

Determination of fractal dimension of physiologically characterized neurons in two and three dimensions

Retinal ganglion cells in the South American opossum (Didelphis aurita)

Complexity analysis of oligodendroglial processes expressing myelin-associated glycoprotein

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