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Development of Generalized Net for Testing of Different Mathematical Models of E. coli Cultivation Process

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 322))

Abstract

The present paper proposes a developed generalized net model that compares different mathematical models of the process of E. coli fed-batch cultivation. A system of four ordinary differential equations describes the main variables of the considered cultivation process, namely, biomass, substrate and acetate. For the purposes of model simulation, we use the software package GN Lite. The GN model compares the simulated performance of the proposed set of mathematical models and selects the best performing one one the basis of a predefined criterion. During the simulation, GN Lite calls the Matlab software environment to solve the process model, presented as a system of nonlinear differential equations, and plots the dynamics of the main process variables’ of the model that has been computed to perform best.

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References

  1. Shannon, A., Roeva, O., Pencheva, T., Atanassov, K.: Generalized Nets Modelling of Biotechnological Processes, Prof. M. Drinov Academic Publishing House, Sofia (2004)

    Google Scholar 

  2. Dimitrov, D.G., Roeva, O.: Comparison of Different Mathematical Models of an E. coli Fed-batch Cultivation Process Using Generalized Net Model. In: Proccedings of the 13th Int. Workshop on Generalized Nets, London, UK, October 29, pp. 15–23 (2012)

    Google Scholar 

  3. Dimitrov, D.G.: A Graphical Environment for Modeling and Simulation with Generalized Nets. Annual of “Informatics” Section, Union of Scientists in Bulgaria 3, 51–66 (2010) (in Bulgarian)

    Google Scholar 

  4. Dimitrov, D.G.: GN IDE - A Software Tool for Simulation with Generalized Nets. In: Proc. of the Tenth Int. Workshop on Generalized Nets, Sofia, pp. 70–75 (2009)

    Google Scholar 

  5. Dimitrov, D.G.: Integration of the Generalized Nets Simulator GNTicker with MATLAB. Annual of “Informatics” Section Union of Scientists in Bulgaria 4, 49–52 (2011) (in Bulgarian)

    Google Scholar 

  6. Dimitrov, D.G.: Software Products Implementing Generalized Nets. Annual of “Informatics” Section, Union of Scientists in Bulgaria 3, 37–50 (2010) (in Bulgarian)

    Google Scholar 

  7. Aladjov, H., Atanassov, K.: A Generalized Net for Genetic Algorithms Learning. In: Proc. of the XXX Spring Conference of the Union of Bulgarian Mathematicians, Borovets, Bulgaria, pp. 242–248 (2001)

    Google Scholar 

  8. Atanassov, K., Aladjov, H.: Generalized Nets in Artificial Intelligence. Generalized Nets and Machine Learning, vol. 2. Prof. M. Drinov Academic Publishing House, Sofia (2000)

    MATH  Google Scholar 

  9. Atanassov, K.: Generalized Nets and Systems Theory. Prof. M. Drinov Academic Publishing House, Sofia (1997)

    Google Scholar 

  10. Atanassov, K.: Generalized Nets. World Scientific, Singapore (1991)

    Google Scholar 

  11. Atanassov, K.: On Generalized Nets Theory. Prof. M. Drinov. Academic Publishing House, Sofia (2007)

    Google Scholar 

  12. Kosev, K., Trenkova, T., Roeva, O.: Tabu Search for Parameter Identification of an Fermentation Process Model. J. of Int. Scientific Publication: Materials, Methods & Technologies 6(2), 457–464 (2012)

    Google Scholar 

  13. Borisova, L., Krawczak, M., Zadrozny, S.: Modelling the Process of Introducing New Product to the Market via Generalized Nets. In: Atanassov, K., Kacprzyk, J., Krawczak, M. (eds.) Issues in Intuitionistic Fuzzy Sets and Generalized Nets, vol. 4, pp. 89–93. Wydawnictwo WSISiZ, Warszawa (2007)

    Google Scholar 

  14. Krawczak, M.: A Novel Modeling Methodology: Generalized Nets. In: Cader, A., Rutkowski, L., Tadeusiewicz, R., Zurada, J. (eds.) Artificial Intelligence and Soft Computing, pp. 1160–1168. Publishing House EXIT, Warsaw (2006)

    Google Scholar 

  15. Krawczak, M.: Algebraic Aspects of Generalized Nets, Development of Methods and Technologies of Informatics for Process Modeling and Management. In: Studzinski, J., Drelichowski, L., Hryniewicz, O. (eds.) Systems Research Institute, pp. 37–47. Polish Academy of Sciences, Warsaw (2006)

    Google Scholar 

  16. Krawczak, M.: Generalized Net Models of MLNN Learning Algorithms. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds.) ICANN 2005. LNCS, vol. 3697, pp. 25–30. Springer, Heidelberg (2005)

    Google Scholar 

  17. Roeva, O., Pencheva, T.: Generalized Net for Control of Temperature in Fermentation Processes. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Wydawnictwo WSISiZ, Warszawa 4, 49–58 (2007)

    Google Scholar 

  18. Roeva, O., Trenkova, T.: Genetic Algorithms and Firefly Algorithms for Non-linear Bioprocess Model Parameters Identification. In: Proccedings of the 4th Int. Joint Conference on Computational Intelligence (ECTA), Barcelona, Spain, October 5-7, pp. 164–169 (2012)

    Google Scholar 

  19. Roeva, O.: Generalized Net Model of Oxygen Control System using Intuitionistic Fuzzy Logic. In: Proccedings of the 1st Int. Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engineering. University of Westminister, London, September 6-7, pp. 49–55 (2006)

    Google Scholar 

  20. Roeva, O.: Optimization of E. coli Cultivation Model Parameters using Firefly Algorithm. Int. J. Bioautomation 16(1), 23–32 (2012)

    Google Scholar 

  21. Roeva, O.: Parameter Estimation of a Monod-type Model based on Genetic Algorithms and Sensitivity Analysis. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.) LSSC 2007. LNCS, vol. 4818, pp. 601–608. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  22. Roeva, O., Pencheva, T., Tzonkov, S.: Generalized Net for Proportional-Integral-Derivative Controller. In: Book Series “Challenging Problems of Sciences” – Computer Sciences, pp. 241–247 (2008)

    Google Scholar 

  23. Chountas, P., Kolev, B., Tasseva, V., Atanassov, K.: Generalized Net Model for Binary Operations Over Intuitionistic Fuzzy OLAP Cubes. In: Proccedings of the Eighth Int. Workshop on Generalized Nets, Sofia, pp. 66–72 (2007)

    Google Scholar 

  24. Trifonov, T., Georgiev, K.: GNTicker – A Software Tool for Efficient Interpretation of Generalized Net Models. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Wydawnictwo WSISiZ, Warsaw 3, 71–78 (2006)

    Google Scholar 

  25. Trifonov, T., Georgiev, K., Atanassov, K.: Software for Modelling with Generalised Nets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Wydawnictwo WSISiZ, Warsaw 6, 36–42 (2008)

    Google Scholar 

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Correspondence to Dimitar Dimitrov .

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Dimitrov, D., Roeva, O. (2015). Development of Generalized Net for Testing of Different Mathematical Models of E. coli Cultivation Process. In: Angelov, P., et al. Intelligent Systems'2014. Advances in Intelligent Systems and Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-11313-5_58

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  • DOI: https://doi.org/10.1007/978-3-319-11313-5_58

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11312-8

  • Online ISBN: 978-3-319-11313-5

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