An algorithm to analyze stability of gene-expression patterns


Gebert J., Latsch M., Pickl S., Weber G. , Wunschiers R.

DISCRETE APPLIED MATHEMATICS, vol.154, no.7, pp.1140-1156, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 154 Issue: 7
  • Publication Date: 2006
  • Doi Number: 10.1016/j.dam.2004.08.011
  • Title of Journal : DISCRETE APPLIED MATHEMATICS
  • Page Numbers: pp.1140-1156

Abstract

Many problems in the field of computational biology consist of the analysis of so-called gene-expression data. The successful application of approximation and optimization techniques, dynamical systems, algorithms and the utilization of the underlying combinatorial structures lead to a better understanding in that field. For the concrete example of gene-expression data we extend an algorithm, which exploits discrete information. This is lying in extremal points of polyhedra, which grow step by step, up to a possible stopping. We study gene-expression data in time, mathematically model it by a time-continuous system, and time-discretize this system. By our algorithm we compute the regions of stability and instability. We give a motivating introduction from genetics, present biological and mathematical interpretations of (in)stability, point out structural frontiers and give an outlook to future research. (c) 2005 Elsevier B.V. All rights reserved.