Active percolation analysis of pyramidal neurons of somatosensory cortex: A comparison of wild type and p21H-RasVal12 transgenic mice

Luciano D.A.Fontoura Costa, Marconi Soares Barbosa, Andreas Schierwagen, Alán Alpár, Ulrich Gärtner, Thomas Arendt

Research output: Contribution to journalArticle

5 Citations (Scopus)


This article describes the investigation of morphological variations among two sets of neuronal cells, namely a control group of wild type rat cells and a group of cells of a trangenic line. Special attention is given to singular points in the neuronal structure, namely the branching points and extremities of the dendritic processes. The characterization of the spatial distribution of such points is obtained by using a recently reported morphological technique based on forced percolation and window-size compensation, which is particularly suited to the analysis of scattered points, presenting several coexisting densities. Different dispersions were identified in our statistical analysis, suggesting that the transgenic line of neurons is characterized by a more pronounced morphological variation. A classification scheme based on a canonical discriminant function was also considered in order to identify the morphological differences.

Original languageEnglish
Pages (from-to)655-667
Number of pages13
JournalInternational Journal of Modern Physics C
Issue number4
Publication statusPublished - Apr 1 2005


  • Density analysis
  • Neuromorphometry
  • Neuronal shape
  • Percolation
  • Phase transition

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Theory and Mathematics

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