Gene Expression Array Exploration Using \(\mathcal{K}\)-Formal Concept Analysis

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6628)


DNA micro-arrays are a mechanism for eliciting gene expression values, the concentration of the transcription products of a set of genes, under different chemical conditions. The phenomena of interest—up-regulation, down-regulation and co-regulation—are hypothesized to stem from the functional relationships among transcription products.

In [1,2,3] a generalisation of Formal Concept Analysis was developed with data mining applications in mind, \(\mathcal{K}\)-Formal Concept Analysis, where incidences take values in certain kinds of semirings, instead of the usual Boolean carrier set. In this paper, we use (\(\overline{\mathbb{R}}_{min, +}\))- and (\(\overline{\mathbb{R}}_{max, +}\)) to analyse gene expression data for Arabidopsis thaliana. We introduce the mechanism to render the data in the appropriate algebra and profit by the wealth of different Galois Connections available in Generalized Formal Concept Analysis to carry different analysis for up- and down-regulated genes.


Gene Expression Data Structural Lattice Concept Analysis Concept Lattice Formal Context 
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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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Dpto. de Teoría de la Señal y de las ComunicacionesUniversidad Carlos III de MadridLeganésSpain

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