Neurons and fractals: How reliable and useful are calculations of offractal dimensions?

Herbert F. Jelinek, Eduardo Fernandez

Research output: Contribution to journalArticlepeer-review

146 Scopus citations

Abstract

In the past 15 years it has become possible to determine the fractal dimension (Df) of complex objects, including neurons, by automated image analysis methods. However, there are many unresolved issues that need to be addressed. In this paper we discuss how the Df calculated by different methods may vary and how fractal analysis may be of use for retinal ganglion cell characterization. The goal of this work was to acknowledge inherent sources of variation during measurement and evaluate current fractal analysis methods for describing structure. Our results show that different algorithms and even the same algorithm performed by different computer programs and/or experimenters may give different but consistent numerical values. All described methods demonstrated their suitability for classifying cat retinal ganglion cells into distinct groups. Our results reinforce the idea that comparison of measurements of different profiles using the same measurement method may be useful and valid even if an exact numeric value of the dimension is not realised in practice.

Original languageBritish English
Pages (from-to)9-18
Number of pages10
JournalJournal of Neuroscience Methods
Volume81
Issue number1-2
DOIs
StatePublished - 1 Jun 1998

Keywords

  • Analysis methods
  • Cat
  • Fractal dimension
  • Retinal ganglion cells

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