Mathematical modeling of the extraction process of target components from yeast biomass

2025;
: pp. 532–539
https://doi.org/10.23939/mmc2025.02.532
Received: January 29, 2025
Revised: May 26, 2025
Accepted: May 31, 2025

Voloshkevych P., Pukach P., Korendiy V., Grytsenko O., Kunynets A.  Mathematical modeling of the extraction process of target components from yeast biomass.  Mathematical Modeling and Computing. Vol. 12, No. 2, pp. 532–539 (2025)  

1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University

A generalized mathematical model of the process of extraction of target components from yeast biomass (carbohydrates, lipids and ribonucleic acids)has been developed on the basis of experimental studies.  It is substantiated that the theoretical provisions are satisfactorily consistent with the experimental results of the research.  The obtained model allows to describe with sufficient accuracy the kinetics of extraction of carbohydrates, lipids and ribonucleic acids from yeast biomass, to determine the yield of the extract and to predict the optimal time of extraction in order to optimize and intensify the process, especially at the stage of designing extraction apparatus.

  1. Grytsenko O., Pukach P., Suberlyak O., Moravskyi V., Kovalchuk R., Berezhnyy B.  Using the Scheffe's method in the study of mathematical model of optimization the polymeric hydrogels composite structures.  Mathematical Modeling and Computing.  6 (2), 258–267 (2019).
  2. Nagursky O., Gumnitsky Ya.  Theoretical model of compounds release from capsulated particles and its experimental check.  Chemistry and Chemical Technology.  6 (1), 101–103 (2012).
  3. Mykychak B., Biley P., Kindzera D.  External heat-and-mass transfer during drying of packed birch peeled veneer.  Chemistry and Chemical Technology.  7 (2), 191–195 (2013).
  4. Nagurskyy A., Huzova I.  Fractionation of oil mixture into jet and diesel fuel. simulation and optimization in chemcad.  Chemistry and Chemical Technology.  16 (4), 669–677 (2022).
  5. Gajdoš I., Slota J., Kaščák L'., Grytsenko O., Jachowicz T.  Utilization of analytical methods for the failure analysis of injection molded part.  Acta Metallurgica Slovaca.  26 (3), 122–125 (2020).
  6. Kindzera D., Atamanyuk V., Hosovskyi R., Dobrovetska O., Havryliv R.  Determination of pressure drop in a fixed bed catalytic reactor during ammonia oxidation on nanostructured platinum catalyst.  Functional Materials.  28 (1), 178–186 (2021).
  7. Sokolovskyy Y., Sinkevych O., Voliansky R., Kshyvetskyy B.  Modeling of heat transfer in the process of wood drying based on the theory of cellular automata.  2020 IEEE 15th International Conference on Computer Sciences and Information Technologies (CSIT).  1–5 (2020).
  8. Grytsenko O. M., Naumenko O. P., Suberlyak O. V., Dulebova L., Berezhnyy B. V.  Optimization of the technological parameters of the graft copolymerization of 2-hydroxyethyl methacrylate with polyvinylpyrrolidone for nickel deposition from salts.  Voprosy Khimii i Khimicheskoi Tekhnologii.  1, 25–32 (2020).
  9. Suberlyak O. V., Krasins'kyi V. V., Shapoval I. M., Grytsenko O. M.  Influence of the mechanism and parameters of hardening of modified novolac phenol-formaldehyde resins on the physicomechanical properties of the composite.  Materials Science.  46 (5), 669–678 (2011).
  10. Grytsenko O., Pukach P., Suberlyak O., Shakhovska N., Karovič V.  Usage of mathematical modeling and optimization in development of hydrogel medical dressings production.  Electronics.  10 (5), 620 (2021).
  11. Dmytruk Y., Ivasiv V., Nebesnyi R., Maykova S.  Optimum conditions determination of methyl methacrylate obtaining over tungsten-containing catalyst.  Eastern-European Journal of Enterprise Technologies.  4 (6/76), 4–7 (2015).
  12. Kucherenko A., Moravskyi V., Kuznetsova M., Masyuk A., Dulebova L.  Regularities of obtaining metal-filled polymer composites.  Nanomaterials in Biomedical Application and Biosensors (NAP-2019).  59–66 (2020).
  13. Kostrobij P., Ryzha I., Hnativ B.  Modeling of the effect of carbon dioxide desorption on carbon monoxide oxidation process on platinum catalyst surface.  Mathematical Modeling and Computing.  5 (1), 27–33 (2018).
  14. Panda A., Dyadyura K., Valíček J., Harničárová M., Kušnerová M., Ivakhniuk T., Hrebenyk L., Sapronov O., Sotsenko V., Vorobiov P., Levytskyi V., Buketov A., Pandová I.  Ecotoxicity study of new composite materials based on epoxy matrix der-331 filled with biocides used for industrial applications.  Polymers.  14 (16), 3275 (2022).
  15. Hayvas B., Dmytruk V., Torskyy A., Dmytruk A.  On methods of mathematical modeling of drying dispersed materials.  Mathematical Modeling and Computing.  4 (2), 139–147 (2017).
  16. Buketov A., Sapronov O., Klevtsov K., Kim B.  Functional Polymer Nanocomposites with Increased Anticorrosion Properties and Wear Resistance for Water Transport.  Polymers.  15 (16), 3449 (2023).
  17. Nagursky O., Gumnitsky Ya.  Release of capsulated mineral fertilizers components. Process simulation.  Chemistry and Chemical Technology.  6 (3), 320–325 (2012).
  18. Fedoryshyn O., Petrina R., Krvavych A., Hubrii Z., Atamanyuk V.  Research on aspects of the extraction kinetics of metabolites of carlina acaulis while mixing.  Voprosy khimii i khimicheskoi tekhnologii.  1, 3–10 (2023).
  19. Hosovkyi R., Kindzera D., Atamanyuk V.  Diffusive mass transfer during drying of grinded sunflower stalks.  Chemistry and Chemical Technology.  10 (4), 459–463 (2016).
  20. Nagurskyy O., Krylova H., Vasiichuk V., Kachan S., Dziurakh Y., Nahursky A., Paraniak N.  Safety usage of encapsulated mineral fertilizers based on polymeric waste.  Ecological Engineering & Environmental Technology.  23 (1), 156–161 (2022).
  21. Matskiv O., Znak Z., Vasiychuk V., Nagursky O., Kurylets O.  Determination of the composition and study of the extraction of iron compounds from organochlorine wastes of vinyl chloride production.  Voprosy khimii i khimicheskoi tekhnologii.  2 (2), 99–107 (2023), (in Ukrainian).
  22. Olivares-Galván S., Marina M., García M.  Extraction and characterization of antioxidant peptides from fruit residues.  Foods.  9 (8), 1018 (2020).
  23. Ilgaz C., Kelebek H., Kadiroglu P.  Ultrasound-assisted extraction of hydroxytyrosol from lactiplantibacillus plantarum fermented olive leaves: process optimization and bioactivity assessment.  Fermentation.  9 (6), 514 (2023).
  24. Yang J., Yan Z., Li L., Zhang L., Zhao M., Yi H., Wang Z., Li G., Wang Z., Li M., Ma C.  Green extraction of phenolic compounds from lotus (nelumbo nucifera gaertn) leaf using deep eutectic solvents: process optimization and antioxidant activity.  Separations.  10 (5), 272 (2023).
  25. Marijan M., Tomić D., Strawa J., Jakupović L., Inić S., Jug M., Tomczyk M., Zovko Končić M.  Optimization of cyclodextrin-assisted extraction of phenolics from helichrysum italicum for preparation of extracts with anti-elastase and anti-collagenase properties.  Metabolites.  13 (2), 257 (2023).
  26. Pérez-Torrado R., Gamero E., Gómez-Pastor R., Garre E., Aranda A., Matallana E.  Yeast biomass, an optimized product with myriad applications in the food industry.  Trends in Food Science & Technology.  46 (2A), 167–175 (2015).
  27. Halász A., Lásztity R.  Use of Yeast Biomass in Food Production.  Boca Raton, CRC Press.  127–135 (1991).
  28. Żymańczyk-Duda E., Brzezinska-Rodak M., Klimek-Ochab M., Duda M., Zerka A.  Yeast as a versatile tool in biotechnology.  Yeast – Industrial Applications.  1, 3–40 (2017).
  29. Khatun F., Kurata K., Chuwattanakul V., Sugiyama M., Kaneko Y., Harashima S.  Increased transcription of RPL40A and RPL40B is important for the improvement of RNA production in Saccharomyces cerevisiae.  Journal of Bioscience and Bioengineering.  116 (4), 423–432 (2013).
  30. Wu Y., Lei S., Lu C., Li J., Du G., Liu Y.  Enhanced ribonucleic acid production by high-throughput screening based on fluorescence activation and transcriptomic-guided fermentation optimization in saccharomyces cerevisiae.  Journal of Agricultural and Food Chemistry.  71 (17), 6673–6680 (2023).
  31. Chen H., Xu X., Li Q., Wang J., Niu Ch., Zheng F., Liu C.  Novel molecular mechanism of high ribonucleic acid yield in Saccharomyces pastorianus revealed by transcriptomics.  Food Bioscience.  55, 102985 (2023).
  32. Chen H., Wang J., Li Q., Xu X., Niu C., Zheng F., Liu C.  Fed-Batch Fermentation of Saccharomyces pastorianus with High Ribonucleic Acid Yield.  Foods.  11 (18), 2742 (2022).
  33. Bzduhcha-Wróbel A., Błażejak S., Kawarska A., Stasiak-Różańska L., Gientka I., Majewska E.  Evaluation of the efficiency of different disruption methods on yeast cell wall preparation for $\beta-$glucan isolation.  Molecules.  19 (12), 20941–20961 (2014).
  34. Klis F., Boorsma A., De Groot P. W. J.  Cell wall construction in Saccharomyces cerevisiae.  Yeast.  23 (3), 185–202 (2006).
  35. Kinsella J., Shetty K.  Yeast proteins: Recovery, Nutritional and Functional Properties.  Nutritional Improvement of Food and Feed Proteins.  797–825 (1978).
  36. Green M., Sambrook J.  Molecular Cloning: A Laboratory Manual. Cold Spring Harbor Laboratory Press, Cold Spring Harbor, New York (2012).
  37. Tataurov A. V., You Y., Owczarzy R.  Predicting ultraviolet spectrum of single stranded and double stranded deoxyribonucleic acids.  Biophysical Chemistry.  133 (1–3), 66–70 (2008).
  38. Li E., Mira de Orduña R.  A rapid method for the determination of microbial biomass by dry weight using a moisture analyser with an infrared heating source and an analytical balance.  Letters in Applied Microbiology.  50 (3), 283–288 (2010).