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Abstract

Genes interact with each other in complex networks that enable the processing of information inside the cell. For an understanding of the cellular functions, the identification of the gene regulatory networks is essential. We present a novel reverse-engineering method to recover networks from gene expression measurements. Our approach is based on Boolean networks, which require the assignment of the label “expressed” or “not expressed” to an individual gene. However, techniques like microarray analyses provide real-valued expression values, consequently the continuous data have to be binarized. Binarization is often unreliable, since noise on gene expression data and the low number of temporal measurement points frequently lead to an uncertain binarization of some values. Our new approach incorporates this uncertainty in the binarized data for the inference process. We show that this new reconstruction approach is less influenced by noise which is inherent in these biological systems.

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References

  • Bezdek J (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New York

    Book  MATH  Google Scholar 

  • Bornholdt S (2005) Systems biology. Less is more in modeling large genetic networks. Science 310(5747):449–451

    Google Scholar 

  • Dembèlè D, Kastner P (2003) Fuzzy C-means method for clustering microarray data. Bioinformatics 19(8):973–980

    Article  Google Scholar 

  • Everitt B, Landau S, Leese M (2001) Cluster analysis, 4th edn. Oxford University Press, New York

    MATH  Google Scholar 

  • Hickman GJ, Hodgman TC (2009) Inference of gene regulatory networks using Boolean-network inference methods. J Bioinform Comput Biol 7(6):1013–29

    Article  Google Scholar 

  • Kauffman SA (1969) Metabolic stability and epigensis in randomly constructed genetic nets. J Theor Biol 22(3):437–467

    Article  Google Scholar 

  • Kauffman SA (1993) The origins of order: self-organization and selection in evolution. Oxford University Press, Oxford

    Google Scholar 

  • Lähdesmäki H, Shmulevich I, Yli-Harja O (2003) On learning gene regulatory networks under the boolean network model. Mach Learn 52(1-2):147–167

    Article  MATH  Google Scholar 

  • Liang S, Fuhrman S, Somogyi R (1998) Reveal, a general reverse engineering algorithm for inference of genetic network architectures. In: Altman RB, Dunker AK, Hunter L, Klein TED (eds) Proceedings of the Pacific Symposium on Biocomputing, World Scientific, vol 3, pp 18–29

    Google Scholar 

  • Liu W, Lähdesmäki H, Dougherty ER, Shmulevich I (2008) Inference of boolean networks using sensitivity regularization. EURASIP J Bioinformatics Syst Biol DOI10.1155/2008/780541

    Google Scholar 

  • Markowetz F, Spang R (2007) Inferring cellular networks–a review. BMC Bioinformatics 8 Suppl 6:S5

    Google Scholar 

  • Raghavan P, Thompson CD (1987) Randomized rounding: a technique for provably good algorithms and algorithmic proofs. Combinatorica 7(4):365–374

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Hans A. Kestler .

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Hopfensitz, M., Maucher, M., Kestler, H.A. (2012). Fuzzy Boolean Network Reconstruction. In: Gaul, W., Geyer-Schulz, A., Schmidt-Thieme, L., Kunze, J. (eds) Challenges at the Interface of Data Analysis, Computer Science, and Optimization. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24466-7_27

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