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Fuzzy Reasoning Boolean Petri Nets Based Method for Modeling and Analysing Genetic Regulatory Networks

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Contemporary Computing (IC3 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 94))

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Abstract

We have developed a new algorithm for modeling and analyzing generic regulatory networks. This algorithm uses fuzzy Petri net to transform Boolean network into qualitative descriptors that can be evaluated by using a set of fuzzy rules. By recognizing the fundamental links between Boolean network (two-valued) and fuzzy Petri net (multi-valued), effective structural fuzzy rules is achieved through the use of well-established methods of Petri net. For evaluation, the proposed technique has been tested using real bacterium E.Coli which under the nutritional stress response and experimental results shows that the use of fuzzy Petri net based technique in gene expression data analysis can be quite effective.

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References

  1. Fitch, J.P., Sokhansanj, B.: Genomic engineering moving beyond DNA sequence to function. Proc. IEEE 88, 1949–1971 (2000)

    Article  Google Scholar 

  2. Novak, B., Csikasz-Nagy, A., Gyorffy, B., Chen, K., Tyson, J.J.: Mathematical model of the fission yeast cell cycle with checkpoint controls at the G1/S, G2/M and metaphase/anaphase transitions. Biophysical Chemistry 72, 185–200 (1998)

    Article  Google Scholar 

  3. Chen, T., He, H.L., Church, G.M.: Modeling gene expression with differential equations. In: Pacific Symposium on Biocomputing 1999, New York, pp. 29–40 (1999)

    Google Scholar 

  4. Ressom, H., Natarjan, P., Varghese, R.S., Musavi, M.T.: Applications of fuzzy logic in genomics. J. of Fuzzy Sets and Systems 152, 125–138 (2005)

    Article  MATH  Google Scholar 

  5. Matsuno, H., Doi, A., Nagasaki, M., Miyano, S.: Hybrid Petri net representation of gene regulatory network. In: Pacific Symposium on Biocomputing, vol. 5, pp. 338–349 (2000)

    Google Scholar 

  6. Matsuno, H., Fujita, S., Doi, A., Nagasaki, M., Miyano, S.: Towards Biopathway Modeling and Simulation. In: van der Aalst, W.M.P., Best, E. (eds.) ICATPN 2003. LNCS, vol. 2679, pp. 3–22. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  7. Fujita, S., Matsui, M., Matsuno, H., Miyano, S.: Modeling and simulation of fission yeast cell cycle on hybrid functional Petri net. IEICE Transactions on Fundamentals of Electronics, Communication and Computer Sciences E87-A(11), 2919–2928 (2004)

    Google Scholar 

  8. Liang, S., Fuhrman, S., Somogyi, R.: REVEAL, a general reverse engineering algorithm for inference of genetic network architectures. In: Pacific Symposium on Biocomputing, New York, vol. 3, pp. 18–29 (1998)

    Google Scholar 

  9. 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 1999, New York, pp. 17–28 (1999)

    Google Scholar 

  10. Husmeier, D.: Sensitivity and specificity of inferring genetic regulatory interactions from microarray experiments with dynamic Bayesian networks. Bioinformatics 19, 2271–2282 (2003)

    Article  Google Scholar 

  11. Vohradsky, J.: Neural networks model of gene expression. J. FASEB 15, 846–854 (2002)

    Article  Google Scholar 

  12. de Jong, H.: Modeling and Simulation of Genetic Regulatory Systems: A Literature Review. J. Comp. Biol. 9, 67–103 (2002)

    Article  Google Scholar 

  13. Goss, P.J.E., Peccoud, J.: Analysis of the stabilizing effect of Rom on the genetic network controlling ColE1 plasmid replication. In: Pacific Symposium on Biocomputing 1999, New York, pp. 65–76 (1999)

    Google Scholar 

  14. Matsuno, H., Fujita, S., Doi, A., Nagasaki, M., Miyano, S.: Towards pathway modelling and simulation. In: van der Aalst, W.M.P., Best, E. (eds.) ICATPN 2003. LNCS, vol. 2679, pp. 3–22. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  15. Garg, M.L., Ahson, S.L., Gupta, P.V.: A fuzzy Petri net for knowledge representation and reasoning. Information Processing Letters 39, 165–171 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  16. Lukas, W., Ralf, Z.: Intuitive Modeling of Dynamic Systems with Petri Nets and Fuzzy Logic. In: German Conference on Bioinformatics, vol. 136, pp. 106–115 (2008)

    Google Scholar 

  17. Bostan-Korpeoglu, B., Yazici, A.: A fuzzy Petri net model for intelligent databases. Data & Knowledge Engi. 62, 219–247 (2007)

    Article  Google Scholar 

  18. Fryc, B., Pancerz, K., Peters, J.F., Suraj, Z.: On Fuzzy Reasoning Using Matrix Representation of Extended Fuzzy Petri Nets. Fundamental Informatics 60, 143–157 (2004)

    MATH  MathSciNet  Google Scholar 

  19. Ahson, I.: Petri net models of fuzzy neural networks. IEEE. Trans. on. SMC 25, 926–932 (1995)

    Google Scholar 

  20. Ropers, D., de Jong, H., Page, M., Schneider, D., Geiselmann, J.: Qualitative Simulation of the Nutritional Stress Response in Escherichia coli. INRIA, Rapport de Reacherche, vol. 5412, pp. 1–39 (2004)

    Google Scholar 

  21. Hengge-Aronis, R.: The general stress response in Escherichia coli. In: Storz, G., Hengge-Aronis, R. (eds.) Bacterial Stress Responses, pp. 161–178. ASM Press, Washington (2000)

    Google Scholar 

  22. Kauffman, S.A.: Metabolic stability and epigenesis in randomly constructed genetic nets. The. Biol. 22, 437–467 (1969)

    MathSciNet  Google Scholar 

  23. Pedrycz, W.: Fuzzy Sets Engineering. CRC Press, Boca Raton (1995)

    MATH  Google Scholar 

  24. Looney, C.G.: Fuzzy Petri nets for rule-based decision making. IEEE Trans. Systems Man and Cybernetics 18, 178–183 (1988)

    Article  Google Scholar 

  25. Chen, S.M., Ke, J.S., Chang, J.F.: Knowledge Representation Using Fuzzy Petri Nets. IEEE Trans. on Knowledge and Data Engineering 2, 311–319 (1990)

    Article  Google Scholar 

  26. Pedrycz, W., Gomide, F.: An Introduction to Fuzzy Sets: Analysis and Design. MIT Press, Cambridge (1998)

    MATH  Google Scholar 

  27. Carvalho, J.P., Tomé, J.A.: Rule Based Fuzzy Cognitive Maps—qualitative systems dynamics. In: Proc. 19th International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2000, Atlanta, pp. 407–411 (2000)

    Google Scholar 

  28. Carvalho, J.P., Tomé, J.A.: Interpolated linguistic terms: uncertainty representation in rule based fuzzy systems. In: Proc. 22nd International Conference of the North American Fuzzy Info. Proc. Society, NAFIPS 2003, Chicago, pp. 93–98 (2003)

    Google Scholar 

  29. Jian, Y., Jintao, L., Hongzhou, S., Xiaoguang, G., Zhenmin, Z.: A Fuzzy Petri Net Model towards Context-Awareness Based Personalized Recommendation. IEEE Transactions, FSKD (3), 325–330 (2008)

    Google Scholar 

  30. Steggles, L.J., Banks, R., Wipat, A.: Modelling and Analysing Genetic Networks: From Boolean Networks to Petri Nets. In: Priami, C. (ed.) CMSB 2006. LNCS (LNBI), vol. 4210, pp. 127–141. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  31. Paul, B., Ross, W., Gaal, T., Gourse, R.: rRNA transcription in E. coli. Ann. Rev. Gen. 38, 749–770 (2004)

    Article  Google Scholar 

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Hamed, R.I., Ahson, S.I., Parveen, R. (2010). Fuzzy Reasoning Boolean Petri Nets Based Method for Modeling and Analysing Genetic Regulatory Networks. In: Ranka, S., et al. Contemporary Computing. IC3 2010. Communications in Computer and Information Science, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14834-7_50

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  • DOI: https://doi.org/10.1007/978-3-642-14834-7_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14833-0

  • Online ISBN: 978-3-642-14834-7

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