Mathematical characterization of three-dimensional gene expresssion patterns

L da F Costa, M S Barbosa, E T M Manoel, J Streicher, G B Müller

Research output: Journal article (peer-reviewed)Journal article

9 Citations (Scopus)


Motivation: The importance of a systematic methodology for the mathematical characterization of three-dimensional gene expression patterns in embryonic development. Methods: By combining lacunarity and multiscale fractal dimension analyses with computer-based methods of three-dimensional reconstruction, it becomes possible to extract new information from in situ hybridization studies. Lacunarity and fractality are appropriate measures for the cloud-like gene activation signals in embryonic tissues. The newly introduced multiscale method provides a natural extension of the fractal dimension concept, being capable of characterizing the fractality of geometrical patterns in terms of spatial scale. This tool can be systematically applied to three-dimensional patterns of gene expression. Results: Applications are illustrated using the three-dimensional expression patterns of the myogenic marker gene Myf5 in a series of differentiating somites of a mouse embryo.

Translated title of the contributionMathematische Charakterisierung von dreidimensionalen Genexpressionsmustern
Original languageEnglish
Pages (from-to)1653-1662
Number of pages10
Issue number11
Publication statusPublished - 22 Jul 2004
Externally publishedYes


  • Animals
  • Culture Techniques
  • DNA-Binding Proteins/genetics
  • Embryo, Mammalian/metabolism
  • Fractals
  • Gene Expression Profiling/methods
  • Gene Expression Regulation/physiology
  • Image Interpretation, Computer-Assisted/methods
  • Imaging, Three-Dimensional/methods
  • In Situ Hybridization, Fluorescence/methods
  • Mice
  • Microscopy, Fluorescence/methods
  • Muscle Proteins/genetics
  • Myogenic Regulatory Factor 5
  • Numerical Analysis, Computer-Assisted
  • Pattern Recognition, Automated
  • Tissue Distribution
  • Trans-Activators/genetics
  • Transcriptional Activation

ASJC Scopus subject areas

  • Computational Mathematics
  • Molecular Biology
  • Biochemistry
  • Statistics and Probability
  • Computer Science Applications
  • Computational Theory and Mathematics


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