A mathematical model of the process of freeze-drying

Authors

DOI:

https://doi.org/10.15587/1729-4061.2015.47790

Keywords:

lyophilisation (freeze-drying), biological materials, heating surface, temperature, sublimation, heat-and-mass transfer, freeze-drying

Abstract

The study explores the process of freeze-drying of biological materials and the basic parameters that affect the quality of the original sample. We have considered the existing methods of controlling freeze-drying stages and their main limitations. The research findings will be used for modeling and optimizing the lyophilisation process. The paper focuses on the problem of monitoring the temperature of biological materials in vials during the freeze-drying. It is necessary to control the temperature of the product to keep it below the triple point (transition point) in order to avoid spoilage. It is also important to determine the position of the moving boundary of sublimation, which informs about completing the stage of primary drying. There are many models of developing temperature sensors, but none fully satisfies the needs of the process. Therefore, we have calculated a mathematical model that will be used further to develop a temperature sensor to control the process of sublimation. Our experimental study was processed in COMSOL Multiphysics 5.0 Final and tested at the State Scientific-Control Institute of Biotechnology and Strains of Microorganisms. The study has revealed a significant impact of the zone of acontact between the heater and the object of drying on the duration of dehydration (about 20%). The devised mathematical model will furtherallow conducting multivariate calculations aimed at minimizing energy consumption and choosing optimal treatment regimes in obtaining and maintaining a certain level of product quality.

The suggested calculation method can help estimate the real duration of the vacuum freeze-drying,taking into account the conditions of the contact.

Author Biography

Яна Петрівна Лиса, National Technical University of Ukraine “Kyiv Polytechnic Institute” 37 Peremogy ave., Kyiv, Ukraine, 03056

Postgraduate student

Department of biomedical engineering

References

  1. Patapoff, T. W., Overcashier, D. E. (2002). The importance of freezing on Lyophilization cycle development. BioPharm, 2, 16–21.
  2. Semenov, G., Bulkin, M., Melamed, L., Tropkina, A. (2010). Heat and mass transfer in industrial processes of vacuum sublimation dehydration, taking into account the contact conditions. Vestnik mezhdunarodnoi akademii holoda, 2, 25–33.
  3. Antipov, S., Mosolov, G., Sidorov, M. (1997). Investigation of the process of sublimation dehydration liquids with reuse heat of phase transitions. Presented at Conf. Advanced technology and equipment for the food industry, Russia, 155–158.
  4. Patel, S. M., Doen, T., Pikal, M. J. (2010). Determination of End Point of Primary Drying in Freeze-Drying Process Control. AAPS PharmSciTech, 11 (1), 73–84. doi: 10.1208/s12249-009-9362-7
  5. Barresi, A. A., Pisano, R., Fissore, D., Rasetto, V., Velardi, S. A., Vallan, A. et. al. (2009). Monitoring of the primary drying of a lyophilization process in vials. Chemical Engineering and Processing: Process Intensification, 48 (1), 408–423. doi: 10.1016/j.cep.2008.05.004
  6. Han, B., Bischof, J. C. (2004). Direct cell injury associated with eutectic crystallization during freezing. Cryobiology, 48 (1), 8–21. doi: 10.1016/j.cryobiol.2003.11.002
  7. Hafeez, Y. M., Zuki, A. B. Z., Yusof, N., Asnah, H., Loqman, M. Y., Noordin, M. M., Ainul-Yuzairi, M. Y. (2005). Effect of freeze-drying and gamma irradiation on biomechanical properties of bovine pericardium. Cell Tissue Banking, 6 (2), 85–89. doi: 10.1007/s10561-004-1888-z
  8. Ozkavukcu, S. (2002). Cryopreservation: Basic knowledge and biophysical effects. Journal of Ankara medical school, 24 (4), 187–196. doi: 10.1501/jms_0000000030
  9. Jennings, T. A. (1999). Lyophilization: introduction and basic principles. Englewood. CO: Interpharm Press, 624. doi: 10.1201/b14424
  10. Egorov, V. I. (2006). Primenenie EVM dlya reshenia zadach teploprovodnosti. ITMO, Russia, 77.
  11. Barresi, A. A., Velardi S., Fissore D., Pisano R. (2008). Monitoring and controlling processes with complex dynamics using soft sensors. Control and Optimization of Continuous Processes, 7.
  12. Velardi, S. A., Barresi, A. A. (2008). Development of simplified models for the freezedrying process and investigation of the optimal operating conditions. Chemical Engineering Research & Design, 86, 9–22. doi: 10.1016/j.cherd.2007.10.007
  13. Willemer, H. (1991). Measurement of temperature, ice evaporation rates and residual moisture contents in freeze-drying. Dev. Biol. Stand, 74, 123–136.
  14. Teagarden, D. L., & Baker, D. S. (2002). Practical aspects of lyophilization using non-aqueous co-solvent systems. European Journal of Pharmaceutical Sciences, 15 (2), 115–133. doi: 10.1016/s0928-0987(01)00221-4

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Published

2015-08-21

How to Cite

Лиса, Я. П. (2015). A mathematical model of the process of freeze-drying. Eastern-European Journal of Enterprise Technologies, 4(9(76), 27–33. https://doi.org/10.15587/1729-4061.2015.47790

Issue

Vol. 4 No. 9(76) (2015): Information and controlling system

Section

Information and controlling system

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Copyright (c) 2015 Яна Петрівна Лиса

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