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Fuzzy Continuous Petri Net-Based Approach for Modeling Immune Systems

  • Conference paper
Neural Nets (WIRN 2005, NAIS 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3931))

Abstract

The immune system has unique defense mechanisms such as innate, humoral and cellular immunity. These mechanisms are closely related to prevent pathogens from spreading in the host and to clear them effectively. To get a comprehensive understanding of the immune system, it is necessary to integrate the knowledge through modeling. Many immune models have been developed based on differential equations and cellular automata. One of the most difficult problem in modeling the immune system is to find or estimate appropriate kinetic parameters. However, it is relatively easy to get qualitative or linguistic knowledge. To incorporate such knowledge, we present a novel approach, fuzzy continuous Petri nets. A fuzzy continuous Petri net has capability of fuzzy inference by adding new types of places and transitions to continuous Petri nets. The new types of places and transitions are called fuzzy places and fuzzy transitions, which act as kinetic parameters and fuzzy inference systems between input places and output places. The approach is applied to model helper T cell differentiation, which is a critical event in determining the direction of the immune response.

This work was supported by National Research Laboratory Grant (2005-01450) from the Ministry of Science and Technology. We would like to thank CHUNG Moon Soul Center for BioInformation and BioElectronics and the IBM-SUR program for providing research and computing facilities.

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References

  1. Janeway, C.A., Travers, P., Walport, M., Shlomchik, M.: Immunology: The Immune System in Health and Disease. Taylor and Francis Inc., London (2001)

    Google Scholar 

  2. Aderem, A., Hood, L.: Immunology in the post-genomic era. Nat. Immunol. 2(5), 373–375 (2001)

    Google Scholar 

  3. Castiglione, F.: A network of cellular automata for the simulation of the immune system. Int. J. Morden Physics C 10, 677–686 (1999)

    Article  Google Scholar 

  4. Rundell, A., DeCarlo, R., HogenEsch, H., Doerschuk, P.: The humoral immune response to Haemophilis influenzae type b:a mathematical model based on T-zone and germinal center B-cell dynamics. J. Theor. Biol. 228(2) (May 2004)

    Google Scholar 

  5. Perelson, A.S.: Modelling viral and immune system dynamics. Nature Rev. Immunol. 2, 28–36 (2002)

    Article  Google Scholar 

  6. Puzone, R., Kohler, B., Seiden, P., Celada, F.: IMMSIM, a flexible model for in machine experiments on immune system responses. Future Generation Computer Systems 18, 961–972 (2002)

    Article  MATH  Google Scholar 

  7. Na, D., Park, I., Lee, K.H., Lee, D.: Integration of immune models using petri nets. In: Nicosia, G., Cutello, V., Bentley, P.J., Timmis, J. (eds.) ICARIS 2004. LNCS, vol. 3239, pp. 205–216. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  8. Matsuno, H., Doi, A., Nagasaki, M., Miyano, S.: Hybrid Petri net representation of gene regulatroy network. In: Pac. Symp. Biocompute., pp. 341–352 (2000)

    Google Scholar 

  9. Peleg, M., Yeh, I., Altman, R.B.: Modelling biological processes using workflow and Petri Net models. Bioinformatics 18(6), 825–837

    Google Scholar 

  10. Marino, S., Kirschner, D.E.: The human immune response to Mycobacterium tuberculosis in lung and lymph node. J. Theor. Biol. 227(4) (April 2004)

    Google Scholar 

  11. Bocharov, G.A., Romanyukha, A.A.: Mathematical Model of Antiviral Immune Response III. Influenza A Virus Infection. J. Theor. Biol. 167(4) (April 1994)

    Google Scholar 

  12. Kleinstein, S.H., Seiden, P.E.: Simulation the immune system. Computing in Science and Engineering 2(4) (July 2000)

    Google Scholar 

  13. dos Santos, R.M.Z., Coutinho, S.: Dynamcis of HIV infection: A Cellular Automata Approach. Phys. Rev. Letters 87(16) (October 2001)

    Google Scholar 

  14. Peterson, J.L.: Petri net theory and the modeling of systems. Prentice Hall, Englewood Cliff (1981)

    MATH  Google Scholar 

  15. Murata, T.: Petri nets: Properties, analysis and applications. Proc. IEEE 77(4) (April 1989)

    Google Scholar 

  16. Alla, H., David, R.: A modeling and analysis tool for discrete event systems: continuous Petri net. Performance Evaluation 33(3) (August 1999)

    Google Scholar 

  17. Street, N.E., Mosmann, T.R.: Functional diversity of T lymphocytes due to secrection of different cytokine patterns. FASEB. J. 5, 171–177 (1991)

    Google Scholar 

  18. Bergmann, C., Van Hemmen, J.L.: Th1 or Th2: How an Approate T Helper Response can be Made. Bulletin of Mathematical Biology 63, 405–430 (2001)

    Article  MATH  Google Scholar 

  19. Chao, D.L., Davenport, M.P., Forrest, S., Perelson, A.S.: A stochastic model of cytotoxic T cell responses. J. Theor. Biol. 228(2) (May 2004)

    Google Scholar 

  20. Yates, A., Bergmann, C., Leo Van Hemmen, J., Stark, J., Callard, R.: Cytokine-modulated Regulation of Helper T Cell Populations. J. theor. Biol. 206, 539–560 (2000)

    Article  Google Scholar 

  21. Lee, K.H.: First Course on Fuzzy Theory and Applications. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  22. Fishman, M.A., Perelson, A.S.: Th1/Th2 Differentiation and Crossregulation. Bulletin of Mathematical Biology 61, 403–436 (1999)

    Article  MATH  Google Scholar 

  23. Yates, A., Callard, R., Stark, J.: Combining cytokine signalling with T-bet and GATA-3 regulation in Th1 and Th2 differentiation: a model for cellular decision-making. Jour. Theor. Biol. 231, 181–196 (2004)

    Article  MathSciNet  Google Scholar 

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Park, I., Na, D., Lee, D., Lee, K.H. (2006). Fuzzy Continuous Petri Net-Based Approach for Modeling Immune Systems. In: Apolloni, B., Marinaro, M., Nicosia, G., Tagliaferri, R. (eds) Neural Nets. WIRN NAIS 2005 2005. Lecture Notes in Computer Science, vol 3931. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11731177_35

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  • DOI: https://doi.org/10.1007/11731177_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33183-4

  • Online ISBN: 978-3-540-33184-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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