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Mathematical Modeling of Continuous Fermentation in Lactic Acid Production

  • Yu. L. GordeevaEmail author
  • A. G. Borodkin
  • E. L. Gordeeva
  • E. G. Rudakovskaya
Article
  • 6 Downloads

Abstract

The equations of a generalized mathematical model for the continuous fermentation of lactic acid have been presented. The system of equations includes the material balance relationships for biomass, a substrate, lactic acid, a byproduct, and the component of raw materials that produces the substrate. The specific rate of biomass growth takes into account all of the inhibition effects, namely, inhibition by the biomass, substrate, and product. Numerical solutions to the equations of the model in discrete and continuous forms for the basic variant of the values of constants have been presented. The effect of the characteristics of inhibition on the characteristics of the process, including the maximum productivity as a function of the dilution rate, has been evaluated. The generalized mathematical model makes it possible to take into account the majority of particular variants of the study and modeling of lactic acid synthesis in continuous fermentation that were reported in the literature. It has been recommended that the equations of the mathematical model be used to study processes under semibatch conditions, processes with recycling, processes with product recovery in membrane technology, and others.

Keywords:

mathematical modeling lactic acid continuous fermentation biomass 

Notes

REFERENCES

  1. 1.
    Bouguettoucha, A., Balannec, B., and Amrane, A., Unstructured models for lactic acid fermentation—A review, Food. Technol. Biotechnol, 2011, vol. 49, no. 1, pp. 3–12.Google Scholar
  2. 2.
    Gordeev, L.S., Koznov, A.V., Skichko, A.S., and Gordeeva, Yu.L., Unstructured mathematical models of lactic acid biosynthesis kinetics: A review, Theor. Found. Chem. Eng., 2017, vol. 51, no. 2, pp. 175–190.  https://doi.org/10.1134/S0040579517020026 CrossRefGoogle Scholar
  3. 3.
    Gordeeva, Yu.L., Rudakovskaya, E.G., Gordeeva, E.L., and Borodkin, A.G., Mathematical modeling of biotechnological process of lactic acid production by batch fermentation: A review, Theor. Found. Chem. Eng., 2017, vol. 51, no. 3, pp. 282–298.  https://doi.org/10.1134/S0040579517030058 CrossRefGoogle Scholar
  4. 4.
    Schepers, A.W., Thibault, J., and Lacroix, C., Lactobacillus helveticus growth and lactic acid production during pH-controlled batch cultures in whey permeate/yeast extract medium. Part II: kinetic modeling and model validation, Enzyme Microb. Technol., 2002, vol. 30, no. 2, pp. 187–194.  https://doi.org/10.1016/S0141-0229(01)00466-5 CrossRefGoogle Scholar
  5. 5.
    Åkerberg, C., Hofvendahl, K., Zacchi, G., and Hahn-Hägerdal, B., Modelling the influence of pH, temperature, glucose and lactic acid concentrations on the kinetics of lactic acid production by Lactococcus lactis ssp. lactis ATCC 19435 in whole-wheat flour, Appl. Microbiol. Biotechnol., 1998, vol. 49, no. 6, pp. 682–690.  https://doi.org/10.1007/s002530051232 CrossRefGoogle Scholar
  6. 6.
    Ohara, H., Hiyama, K., and Yoshida, T., Kinetic study on pH dependence of growth and death of Streptococcus faecalis, Appl. Microbiol. Biotechnol., 1992, vol. 38, no. 3, pp. 403–407.  https://doi.org/10.1007/BF00170094 CrossRefGoogle Scholar
  7. 7.
    Gordeeva, Yu.L., Borodin, A.V., and Gordeev, L.S., Estimating the limiting rate of dilution in technology for lactic acid production by continuous fermentation, Theor. Found. Chem. Eng., 2018, vol. 52, no. 1, pp. 64–66.  https://doi.org/10.1134/S0040579518010050 CrossRefGoogle Scholar
  8. 8.
    Gordeeva, Yu.L., Borodkin, A.G., and Gordeev, L.S., Optimal process parameters of the synthesis of lactic acid by continuous fermentation, Theor. Found. Chem. Eng., 2018, vol. 52, no. 3, pp. 386–392.  https://doi.org/10.1134/S0040579518030090 CrossRefGoogle Scholar
  9. 9.
    Abdel-Rahman, M.A., Tashiro, Y., and Sonomoto, K., Recent advances in lactic acid production by microbial fermentation processes, Biotechnol. Adv., 2013, vol. 31, no. 6, pp. 877–902.  https://doi.org/10.1016/j.biotechadv.2013.04.002 CrossRefGoogle Scholar
  10. 10.
    Wee, Y.-J., Kim, J.-N., and Ryu, H.-W., Biotechnological production of lactic acid and its recent applications, Food Technol. Biotechnol, 2006, vol. 44, no. 2, pp. 163–172.Google Scholar
  11. 11.
    Hofvendahl, K. and Hahn–Hägerdala, B., Factors affecting the fermentative lactic acid production from renewable resources, Enzyme Microb. Technol., 2000, vol. 26, pp. 87–107.  https://doi.org/10.1016/S0141-0229(99)00155-6 CrossRefGoogle Scholar
  12. 12.
    Datta, R. and Henry, M., Lactic acid: Recent advances in products, processes and technologies—A review, J. Chem. Technol. Biotechnol., 2006, vol. 81, no. 7, pp. 1119–1129.  https://doi.org/10.1002/jctb.1486 CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • Yu. L. Gordeeva
    • 1
    Email author
  • A. G. Borodkin
    • 2
  • E. L. Gordeeva
    • 2
  • E. G. Rudakovskaya
    • 2
  1. 1.Skryabin Moscow State Academy of Veterinary Medicine and BiotechnologyMoscowRussia
  2. 2.Mendeleev University of Chemical Technology of RussiaMoscowRussia

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