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Fractal Dimensions and Dendritic Branching of Neurons in the Somatosensory Thalamus

  • Klaus-D. Kniffki
  • Matthias Pawlak
  • Christiane Vahle-Hinz
Chapter
Part of the Mathematics and Biosciences in Interaction book series (MBI)

Abstract

The investigation and modelling of irreversible growth phenomena has become a topic of considerable interest in the last decade, stimulated by the introduction of the concept of fractality by B.B. Mandelbrot. This concept provides a quantitative framework to study in particular biological growth phenomena of complex shapes, such as the branching structures of trees, of bronchial trees and of blood vessels. Recently, it was shown that the shapes of 2-dimensional retinal neurons are fractal objects, and hence may be characterized by their fractal dimension D = 1.68±0.15 (Caserta et al., 1990). The authors proposed an explanation of certain stages of neuronal development by a diffusion-limited particle-cluster aggregation (DLA) model, which predicts in 2-dimensional space D = 1.70 ± 0.1.

Keywords

Fractal Dimension Dendritic Tree Bronchial Tree Dendritic Branch Branch Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Klaus-D. Kniffki
    • 1
  • Matthias Pawlak
    • 1
  • Christiane Vahle-Hinz
    • 1
  1. 1.Physiologisches institutUniversität WürzburgWürzburgGermany

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