Statistical Physics and Biological Information

The European Physical Journal B - Condensed Matter and Complex Systems

, Volume 52, Issue 4, pp 531-546

First online:

Extended morphometric analysis of neuronal cells with Minkowski valuations

  • C. BeisbartAffiliated withFaculty 14, University of DortmundArnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität Email author 
  • , M. S. BarbosaAffiliated withCybernetic Vision Research Group, DFI-IFSC, Universidade de São Paulo
  • , H. WagnerAffiliated withArnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität
  • , L. da F. CostaAffiliated withCybernetic Vision Research Group, DFI-IFSC, Universidade de São Paulo

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract.

Minkowski valuations provide a systematic framework for quantifying different aspects of morphology. In this paper we apply vector- and tensor-valued Minkowski valuations to neuronal cells from the cat's retina in order to describe their morphological structure in a comprehensive way. We introduce the framework of Minkowski valuations, discuss their implementation for neuronal cells and show how they can be used to characterize cells of different morphological categories. We also provide a comparison to a Sholl analysis.

PACS.

07.05.Kf Data analysis: algorithms and implementation; data management 87.19.La Neuroscience 02.40.Ft Convex sets and geometric inequalities