Summary
With the arrival of high-throughput genomic data, biologists now have the ability to investigate the expression of genetic transcripts on a genome-wide scale. With this advancement, it is important to consider the regulation of gene expression in the context of a system, including the discovery of any genetic interactions that contribute to regulation. Genetic networks provide a concise representation of the interaction between multiple genes at the system level, giving investigators a broader view of the cellular state compared to a singular declaration of whether a gene is over/under expressed. Many methods currently exist to infer gene regulatory networks, including discrete models (Boolean networks, Bayesian networks), continuous models (weight matrices, differential equations models), and fuzzy logic models. The attractive feature of the fuzzy logic model is that it allows for a simplified rule structure, since observations are categorized, but retains information in the original data by allowing partial membership in multiple categories. The fuzzy logic model is flexible, and can be adapted to a variety of regulatory models and inferential rule sets. In this work, we review several recent advances in fuzzy logic methodologies developed for the genetic network reconstruction problem. The goals of the approaches range from whole genome screening of microarray data for small regulatory units, to detailed reconstruction of the iteractions between genes in a particular pathway. We apply the methods to real microarray data concerning the yeast cell cycle and simulated data concerning the Raf signaling pathway, and compare results with other well-known algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akutsu, T., Miyano, S., Kuhara, S.: Identification of genetic networks from a small number of gene expression patterns under the boolean network model. In: Pacific Symposium on Biocomputing, vol. 99(4), pp. 17–28 (1999)
Azuaje, F.: A computational neural approach to support the discovery of gene function and classes of cancer. IEEE Trans. Biomed. Eng. 48(3), 332–339 (2001)
Berggard, T., Linse, S., James, P.: Methods for the detection and analysis of protein-protein interactions. Proteomics 7(16), 2833–2842 (2007)
Bolstad, B.M., Irizarry, R.A., Astrand, M., Speed, T.P.: A comparison of normalization methods for high density oligonucleotide array data based on variance and bias. Bioinformatics 19(2), 185–193 (2003)
Bork, P., Copley, R.: The draft sequences. filling in the gaps. Nature 409, 818–820 (2001)
Brock, G.N.: FPRNET: Fuzzy logic, probability, and regression models for network reconstruction, Version 1.0 (2008)
Brock, G.N., Beavis, W.D., Kubatko, L.S.: Fuzzy logic and related methods as a screening tool for detecting gene regulatory networks, Information Fusion (in press)
Brock, G.N., Shaffer, J.R., Blakesley, R.E., Lotz, M.J., Tseng, G.C.: Which missing value imputation method to use in expression profiles: a comparative study and two selection schemes. BMC Bioinformatics 9, 12 (2008)
Butte, A.J., Kohane, I.S.: Mutual information relevance networks: functional genomic clustering using pairwise entropy measurements. In: Pacific Symposium on Biocomputing, pp. 418–29 (2000)
Butte, A.J., Tamayo, P., Slonim, D., Golub, T.R., Kohane, I.S.: Discovering functional relationships between RNA expression and chemotherapeutic susceptibility using relevance networks. Proceedings of the National Academy of Science, USA 97(22), 12182–12186 (2000)
Chaves, M., Sontag, E.D., Albert, R.: Methods of robustness analysis for boolean models of gene control networks. Systems Biology (Stevenage) 153(4), 154–167 (2006)
Chen, C.F., Feng, X., Szeto, J.: Identification of critical genes in microarray experiments by a neuro-fuzzy approach. Comput. Biol. Chem. 30(5), 372–381 (2006)
Chen, T., He, H.L., Church, G.M.: Modeling gene expression with differential equations. In: Pacific Symposium on Biocomputing, vol. 99(4), pp. 29–40 (1999)
Cho, R.J., Campbell, M., Winzeler, E., Steinmetz, L., Conway, A., Wodicka, L., Wolfsberg, T., Gabrielian, A., Landsman, D., Lockhart, D., Davis, R.: A genome-wide transcriptional analysis of the mitotic cell cycle. Molecular Cell 2, 65–73 (1998)
Combs, W.E., Andrews, J.E.: Combinatorial rule explosion eliminated by a fuzzy rule configuration. IEEE Transactions on Fuzzy Systems 6(1), 1–11 (1998)
Datta, S., Sokhansanj, B.A.: Accelerated search for biomolecular network models to interpret high-throughput experimental data. BMC Bioinformatics 8, 258 (2007)
D’Haeseleer, P., Wen, X., Fuhrman, S., Somogyi, R.: Linear modeling of mRNA expression levels during CNS development and injury. In: Pacific Symposium on Biocomputing, vol. 99(4), pp. 41–52 (1999)
Dudoit, S., Yang, Y.H., Callow, M.J., Speed, T.P.: Statistical methods for identifying differentially expressed genes in replicated cDNA microarray experiments. Statistical Sinica 12(1), 111–139 (2002)
Eisen, M.B., Spellman, P.T., Brown, P.O., Botstein, D.: Cluster analysis and display of genome-wide expression patterns. Proceedings of the National Academy of Science USA 95, 14863–14868 (1998)
Friedman, N., Koller, D.: Being Bayesian about network structure. Machine Learning 50, 95–126 (2003)
Friedman, N., Linial, M., Nachman, I., Pe’er, D.: Using Bayesian networks to analyze expression data. Journal of Computational Biology 7, 601–620 (2000)
Futschik, M.E., Chaurasia, G., Herzel, H.: Comparison of human protein-protein interaction maps. Bioinformatics 23(5), 605–611 (2007)
Gentleman, R.C., Carey, V.J., Bates, D.M., Bolstad, B., Dettling, M., Dudoit, S., Ellis, B., Gautier, L., Ge, Y., Gentry, J., Hornik, K., Hothorn, T., Huber, W., Iacus, S., Irizarry, R., Leisch, F., Li, C., Maechler, M., Rossini, A.J., Sawitzki, G., Smith, C., Smyth, G., Tierney, L., Yang, J.Y.H., Zhang, J.: Bioconductor: Open software development for computational biology and bioinformatics. Genome Biology 5, R80 (2004)
Kanehisa, M., Goto, S., Kawashima, S., Nakaya, A.: The KEGG databases at genomenet. Nucleic Acids Res 30(1), 42–46 (2002)
Kerr, M.K., Churchill, G.A.: Experimental design for gene expression microarrays. Biostatistics 2, 183–202 (2001)
Kim, S., Imoto, S., Miyano, S.: Dynamic bayesian network and nonparametric regression for nonlinear modeling of gene networks from time series gene expression data. Biosystems 75(1-3), 57–65 (2004)
Kim, S.Y., Imoto, S., Miyano, S.: Inferring gene networks from time series microarray data using dynamic Bayesian networks. Briefings in Bioinformatics 4, 228–235 (2003)
Latchman, D.S.: Eukaryotic transcription factors, 4th edn. Academic Press, London (2003)
Lee, C.H., Teng, C.C.: Identification and control of dynamic systems using recurrent fuzzy neural networks. IEEE Transactions on Fuzzy Systems 8(4), 349–366 (2000)
Lee, M.L., Bulyk, M.L., Whitmore, G.A., Church, G.M.: A statistical model for investigating binding probabilities of DNA nucleotide sequences using microarrays. Biometrics 58, 981–988 (2002)
Liang, S., Fuhrman, S., Somogyi, R.: REVEAL, a general reverse engineering algorithm for inference of genetic network architectures. In: Pacific Symposium on Biocomputing, vol. 98(3), pp. 18–29 (1998)
Linden, R., Bhaya, A.: Evolving fuzzy rules to model gene expression. Biosystems 88(1-2), 76–91 (2007)
Liu, T.Y., Lin, C.W., Falcon, S., Zhang, J., MacDonald, J.W.: Yeast: A data package containing annotation data for yeast, R package version 2.0.1 (2008)
Mamdani, E.H.: Applications of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Transactions on Computers 26(12), 1182–1191 (1977)
Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies 7(1), 1–13 (1975)
Maraziotis, I.A., Dragomir, A., Bezerianos, A.: Gene networks reconstruction and time-series prediction from microarray data using recurrent neural fuzzy networks. IET Syst. Biol. 1(1), 41–50 (2007)
Mastorocostas, P.A., Theocharis, J.B.: A recurrent fuzzy-neural model for dynamic system identification. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 32(2), 176–190 (2002)
Milo, R., Shen-Orr, S., Itzkovitz, S., Kashtan, N., Chklovskii, D., Alon, U.: Network motifs: simple building blocks of complex networks. Science 298(5594), 824–827 (2002)
Pihur, V., Datta, S., Datta, S.: Reconstruction of genetic association networks from microarray data: a partial least squares approach. Bioinformatics 24(4), 561–568 (2008)
Ping, X., Brock, G.N., Parrish, R.S.: Modified linear discriminant analysis approaches for classification of high-dimensional microarray data. Computational Statistics and Data Analysis (in press)
Ren, B., Robert, F., Wyrick, J.J., Aparicio, O., Jennings, E.G., Simon, I., Zeitlinger, J., Schreiber, J., Hannett, N., Kanin, E., Volkert, T.L., Wilson, C.J., Bell, S.P., Young, R.A.: Genome-wide location and function of dna binding proteins. Science 290(5500), 2306–2309 (2000)
Ressom, H., Reynolds, R., Varghese, R.S.: Increasing the efficiency of fuzzy logic-based gene expression data analysis. Physiol Genomics 13(2), 107–117 (2003)
Sachs, K., Perez, O., Pe’er, D., Lauffenburger, D.A., Nolan, G.P.: Causal protein-signaling networks derived from multiparameter single-cell data. Science 308(5721), 523–529 (2005)
Schäfer, J., Strimmer, K.: An empirical bayes approach to inferring large-scale gene association networks. Bioinformatics 21(6), 754–764 (2005)
Schäfer, J., Strimmer, K.: A shrinkage approach to large-scale covariance matrix estimation and implications for functional genomics. Statistical Applications in Genetics and Molecular Biology 4, Article32 (2005)
Shen-Orr, S.S., Milo, R., Mangan, S., Alon, U.: Network motifs in the transcriptional regulation network of escherichia coli. Nat Genet 31(1), 64–68 (2002)
Sokhansanj, B.A., Fitch, J.P., Quong, J.N., Quong, A.A.: Linear fuzzy gene network models obtained from microarray data by exhaustive search. BMC Bioinformatics 5, 108 (2004)
Spellman, P.T., Sherlock, G., Zhang, M.Q., Iyer, V.R., Anders, K., Eisen, M.B., Brown, P.O., Botstein, D., Futcher, B.: Comprehensive identification of cell cycle-regulated genes of the yeast saccharomyces cerevisiae by microarray hybridization. Mol. Biol. Cell. 9(12), 3273–3297 (1998)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics 15(1), 116–132 (1985)
Tsukamoto, Y.: An approach to fuzzy reasoning methods. Advances in Fuzzy Set Theory and Applications, 137–149 (1979)
van Someren, E.P., Wessels, L.F., Backer, E., Reinders, M.J.: Genetic network modeling. Pharmacogenomics 3, 507–525 (2002)
von Mering, C., Krause, R., Snel, B., Cornell, M., Oliver, S.G., Fields, S., Bork, P.: Comparative assessment of large-scale data sets of protein-protein interactions. Nature 417(6887), 399–403 (2002)
Weaver, D.C., Workman, C.T., Stormo, G.D.: Modeling regulatory networks with weight matrices. In: Pacific Symposium on Biocomputing, vol. 99(4), pp. 112–123 (1999)
Werhli, A.V., Grzegorczyk, M., Husmeier, D.: Comparative evalution of reverse engineering gene regulatory networks with relevance networks, graphical Gaussian models, and Bayesian networks. Bioinformatics 22, 2523–2531 (2006)
Werhli, A.V., Husmeier, D.: Reconstructing gene regulatory networks with bayesian networks by combining expression data with multiple sources of prior knowledge, Statistical Applications in Genetics and Molecular Biology 6, Article15 (2007)
Wolfsberg, T., McEntyre, J., Schuler, G.: Guide to the draft human genome. Nature 409, 824–826 (2001)
Woolf, P.J., Wang, Y.: A fuzzy logic approach to analyzing gene expression data. Physiological Genomics 3, 9–15 (2000)
Xing, B., van der Laan, M.J.: A causal inference approach for constructing transcriptional regulatory networks. Bioinformatics 21(21), 4007–4013 (2005)
Zou, M., Conzen, S.D.: A new dynamic Bayesian network (DBN) approach for identifying gene regulatory networks from time course microarray data. Bioinformatics 21(1), 71–79 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Brock, G.N., Pihur, V., Kubatko, L. (2009). Detecting Gene Regulatory Networks from Microarray Data Using Fuzzy Logic. In: Jin, Y., Wang, L. (eds) Fuzzy Systems in Bioinformatics and Computational Biology. Studies in Fuzziness and Soft Computing, vol 242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89968-6_8
Download citation
DOI: https://doi.org/10.1007/978-3-540-89968-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89967-9
Online ISBN: 978-3-540-89968-6
eBook Packages: EngineeringEngineering (R0)