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Considering uncertain quantities in the model of cryopreservation process of biological samples Cover

Considering uncertain quantities in the model of cryopreservation process of biological samples

Open Access
|Jun 2025

References

  1. Behrou R., Foroughi H., Haghpanah F., Numerical study of temperature effects on the poro-viscoelastic behavior of articular cartilage, Journal of the Mechanical Behavior of Biomedical Materials, 2018, 78, 214–223, DOI: 10.1016/j.jmbbm.2017.11.023.
  2. Caniani D., Lioi D.S., Mancini I.M., Masi S., Application of fuzzy logic and sensitivity analysis for soil contamination hazard classification, Waste Management, 2011, 31 (3), 583–594, DOI: 10.1016/j.wasman.2010.09.012.
  3. Çengel Y.A., Ghajar A.J., Heat and mass transfer: fundamentals and applications, McGraw-Hill Higher Education, 2015.
  4. Cichocki B., Albert Einstein – praca o ruchach Browna z 1905 roku, DeltaMi, 2005. http://www.deltami.edu.pl/temat/fizyka/struktura_materii/2011/01/01/Albert_Einstein-praca_o_ruchach/ [Accessed: 2.08.2022].
  5. Dubois D.J., Fuzzy Sets and Systems: Theory and Applications, Academic Press, 1980.
  6. Fick A., Ueber Diffusion, Annalen der Physik, 1855, 94 (1), 59–86, DOI: 10.1002/andp.18551700105.
  7. Fick A., V. On liquid diffusion, Philosophical Magazine, 1855, 10 (63), 30–39, DOI: 10.1080/14786445508641925.
  8. Fourier J.B.J., Théorie analytique de la chaleur, Firmin Didot, 1882.
  9. Hanss M., Applied Fuzzy Arithmetic, Springer, Berlin–Heidelberg–New York 2005.
  10. Hatłas M., Modelling and optimisation of inhomogeneous materials using granular computations, Doctoral thesis, Politechnika Śląska, Gliwice, 2021.
  11. Jang T.H. et al., Cryopreservation and its clinical applications, Integrative Medicine Research, 2017, 6 (1), 12–18, DOI: 10.1016/j.imr.2016.12.001.
  12. Jungare K.A., Radha R., Sreekanth D., Cryopreservation of biological samples – A short review, Materials Today: Proceedings, 2022, 51, 1637–1641, DOI: 10.1016/j.matpr.2021.11.203.
  13. Kay A.G., Hoyland J.A., Rooney P., Kearney J.N., Pegg D.E., A liquidus tracking approach to the cryopreservation of human cartilage allografts, Cryobiology, 2015, 71 (1), 77–84, DOI: 10.1016/j.cryobiol.2015.05.005.
  14. Leandry L., Sosoma I., Koloseni D., Basic Fuzzy Arithmetic Operations Using α–Cut for the Gaussian Membership Function, Journal of Fuzzy Extension and Applications, 2022, 3 (4), 337–348, DOI: 10.22105/jfea.2022.339888.1218.
  15. Liu W., Zhao G., Shu Z., Wang T., Zhu K., Gao D., High-precision approach based on microfluidic perfusion chamber for quantitative analysis of biophysical properties of cell membrane, International Journal of Heat and Mass Transfer, 2015, 86, 869–879, DOI: 10.1016/j.ijheatmasstransfer.2015.03.038.
  16. Lü H., Shangguan W.-B., Yu D., Uncertainty quantification of squeal instability under two fuzzy-interval cases, Fuzzy Sets and Systems, 2017, 328, 70–82, DOI: 10.1016/j.fss.2017.07.006.
  17. Mazur P., Kinetics of Water Loss from Cells at Subzero Temperatures and the Likelihood of Intracellular Freezing, Journal of General Physiology, 1963, 47 (2), 347–369, DOI: 10.1085/jgp.47.2.347.
  18. Mochnacki B., Suchy J., Modelowanie i symulacja krzepnięcia odlewów, Wydawnictwo Naukowe PWN, Warszawa 1993.
  19. Moore R.E., Interval Analysis, Prentice-Hall, New Jersey, USA, 1966.
  20. Pegg D.E., Wang L., Vaughan D., Cryopreservation of articular cartilage. Part 3: The liquidus-tracking method, Cryobiology, 2006, 52 (3), 360–368, DOI: 10.1016/j.cryobiol.2006.01.004.
  21. Piasecka-Belkhayat A., Przedziałowa metoda elementów brzegowych w nieprecezyjnych zadaniach nieustalonej dyfuzji ciepła, Wydawnictwo Politechniki Śląskiej, Gliwice, 2011.
  22. Piasecka-Belkhayat A., Skorupa A., Application of interval arithmetic in numerical modeling of cryopreservation process during cryoprotectant loading to microchamber, Numerical Heat Transfer, Part A: Applications, 2022, 84 (2), 83–101, DOI: 10.1080/10407782.2022.2105078.
  23. Piasecka-Belkhayat A., Skorupa A., Cryopreservation analysis considering degree of crystallisation using fuzzy arithmetic, Journal of Theoretical and Applied Mechanics, 2024, 207–218, DOI: 10.15632/jtam-pl/183697.
  24. Piasecka-Belkhayat A., Skorupa A., Numerical Study of Heat and Mass Transfer during Cryopreservation Process with Application of Directed Interval Arithmetic, Materials, 2021, 14 (11), 2966, DOI: 10.3390/ma14112966.
  25. Schulze B.M., Watkins D.L., Zhang J., Ghiviriga I., Castellano R.K., Estimating the shape and size of supramolecular assemblies by variable temperature diffusion ordered spectroscopy, Org. Biomol. Chem., 2014, 12 (40), 7932–7936, DOI: 10.1039/C4OB01373E.
  26. Skorupa A., Multi-scale modelling of heat and mass transfer in tissues and cells during cryopreservation including interval methods, Doctoral thesis, Politechnika Śląska, Gliwice, 2023. [Online]. Available: https://repolis.bg.polsl.pl/dlibra/publication/85590/edition/76693 [Accessed: 10.10.2023].
  27. Skorupa A., Piasecka-Belkhayat A., Numerical Modeling of Heat and Mass Transfer during Cryopreservation Using Interval Analysis, Applied Sciences, 2020, 11 (1), 302, DOI: 10.3390/app11010302.
  28. Taylor M.J., Hunt C.J., A new preservation solution for storage of corneas at low temperatures, Current Eye Research, 1985, 4 (9), 963–973, DOI: 10.3109/02713689509000003.
  29. Wang C., Matthies H.G., Coupled fuzzy-interval model and method for structural response analysis with non-probabilistic hybrid uncertainties, Fuzzy Sets and Systems, 2021, 417, 171–189, DOI: 10.1016/j.fss.2020.06.002.
  30. Wang L., Pegg D.E., Lorrison J., Vaughan D., Rooney P., Further work on the cryopreservation of articular cartilage with particular reference to the liquidus tracking (LT) method, Cryobiology, 2007, 55 (2), 138–147, DOI: 10.1016/j.cryobiol.2007.06.005.
  31. Xu F., Moon S., Zhang X., Shao L., Song Y.S., Demirci U., Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010, 368 (1912), 561–583, DOI: 10.1098/rsta.2009.0248.
  32. Youn J.-I. et al., Optical and thermal properties of nasal septal cartilage, Lasers in Surgery and Medicine, 2000, 27 (2), 119–128, DOI: 10.1002/1096-9101(2000)27:2<;119::AID-LSM3>3.0.CO;2-V.
  33. Yu X., Zhang S., Chen G., Modeling the addition/removal of dimethyl sulfoxide into/from articular cartilage treated with the liquidus-tracking method, International Journal of Heat and Mass Transfer, 2019, 141, 719–730, DOI: 10.1016/j.ijheatmasstransfer.2019.07.032.
  34. Zadeh L.A., Fuzzy sets, Information and Control, 1965, 8 (3), 338–353.
  35. Zhao G., Fu J., Microfluidics for cryopreservation, Biotechnology Advances, 2017, 35 (2), 323–336, DOI: 10.1016/j.biotechadv.2017.01.006.
DOI: https://doi.org/10.37190/abb-02520-2024-03 | Journal eISSN: 2450-6303 | Journal ISSN: 1509-409X
Language: English
Page range: 47 - 56
Submitted on: Sep 26, 2024
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Accepted on: Jan 30, 2025
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Published on: Jun 16, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Anna Skorupa, Alicja Piasecka-Belkhayat, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.