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Finding the Minimal Gene Regulatory Function in the Presence of Undefined Transitional States Using a Genetic Algorithm

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Information Processign in Cells and Tissues (IPCAT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7223))

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Abstract

After the sequencing of whole genomes and the identification of the genes contained in them, one of the main challenges remaining is to understand the mechanisms that regulate the expression of genes within the genome in order to gain knowledge about structural, biochemical, physiological and behavioral characteristics of organisms. Some of these mechanisms are controlled by so-called Genetic Regulatory Networks (GRNs). Boolean networks can help model biological GRNs. In this paper, a genetic algorithm is used to make inferences in Boolean networks, in combination with the Quine-McCluskey algorithm, when not all the output states of the genes have been determined. This lack of information could be treated as “don’t care” states. Genetic algorithms are useful in multi-objective optimization problems, such as minimization of Gene Regulatory Functions, where it is important not only to have the smallest quantity of disjunctions, but also the smallest quantity of genes involved in the regulation.

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References

  1. Chen, T., Filkov, V., Skiena, S.: Identifying gene regulatory networks from experimental data. In: Proceedings of the Third Annual International Conference on Computational Molecular Biology (RECOMB 1999), pp. 94–103. ACM, New York (1999)

    Chapter  Google Scholar 

  2. De Jong, H.: Modeling and simulation of genetic regulatory systems: a literature review. Journal of Computational Biology 9(1), 67–103 (2002)

    Article  Google Scholar 

  3. Cho, R., Campbell, M.A.: Genome-Wide Transcriptional Analysis of the Mitotic Cell Cycle. Molecular Cell 2, 65–73 (1998)

    Article  Google Scholar 

  4. Kim, H., Lee, J.K., Park, T.: Boolean networks using the chi-square test for inferring large-scale gene regulatory networks. BMC Bioinformatics 8, 37 (2007)

    Article  Google Scholar 

  5. Shmulevich, I.: Binary Analysis and Optimization-Based Normalization of Gene Expression Data. Bioinformatics 18(4), 555–565 (2002)

    Article  Google Scholar 

  6. Kauffmann, S.A.: Metabolic Stability and Epigenesis in Randomly Constructed Genetic Nets. J. Theoret. Biol. 22, 437–467 (1969)

    Article  Google Scholar 

  7. Xiao, Y.: A Tutorial on Analysis and Simulation of Boolean Gene Regulatory Network Models. Current Genomics 10, 511–525 (2009)

    Article  Google Scholar 

  8. Hecker, M., Lambeck, S., Toepfer, S., van Someren, E., Guthke, R.: Gene regulatory network inference: data integration in dynamic models-a review. Biosystems 96(1), 86–103 (2009)

    Article  Google Scholar 

  9. Xiao, Y., Dougherty, E.: Optimizing Consistency-Based Design of Context-Sensitive Gene Regulatory Networks. IEEE Transactions on Circuits and Systems 53(11), 2431–2437 (2006)

    Article  MathSciNet  Google Scholar 

  10. Quine, W.V.: The Problem of Simplifying Truth Functions. Am. Math. Monthly 59, 521 (1952)

    Article  MathSciNet  MATH  Google Scholar 

  11. Quine, W.V.: A Way to Simplify Truth Functions. Am. Math. Monthly 62, 627 (1955)

    Article  MathSciNet  MATH  Google Scholar 

  12. McCluskey, E.J.: Minimization of Boolean Functions. Bell Syst. Tech. J. 35, 1417 (1956)

    MathSciNet  Google Scholar 

  13. Liang, S.: REVEAL, A General Reverse Engineering Algorithm for Inference of Genetic Network Architectures. In: Pacific Symposium on Biocomputing, vol. 3, pp. 18–29 (1998)

    Google Scholar 

  14. Shannon, C.E., Weaver, W.: The mathematical theory of communication. University of Illinois Press (1963)

    Google Scholar 

  15. Popov, A., Filipova, K.: Genetic Algorithms Synthesis of Finite State Machines. In: Proceedings of the 27th Spring Seminar on Electronics Technology, pp. 388–392 (2004)

    Google Scholar 

  16. Mihailov, S., Popov, A., Filipova, K., Kasev, N.: Comparative Analysis of Boolean Functions Minimization in Terms of Symplifying the Synthesis. In: First International Congress of Mechanical and Electrical Engineering and Technologies, pp. 273–276 (2002)

    Google Scholar 

  17. Bittner, M.L., Meltzer, P.: Molecular classification of cutaneous malignant melanoma by gene expression profiling. Nature 406, 536–540 (2000)

    Article  Google Scholar 

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Chavez-Alvarez, R., Chavoya, A., Lopez-Martin, C. (2012). Finding the Minimal Gene Regulatory Function in the Presence of Undefined Transitional States Using a Genetic Algorithm. In: Lones, M.A., Smith, S.L., Teichmann, S., Naef, F., Walker, J.A., Trefzer, M.A. (eds) Information Processign in Cells and Tissues. IPCAT 2012. Lecture Notes in Computer Science, vol 7223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28792-3_29

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  • DOI: https://doi.org/10.1007/978-3-642-28792-3_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28791-6

  • Online ISBN: 978-3-642-28792-3

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