Abstract
The purpose of the research is to prepare a mathematical and numerical model for the phenomenon of heat transfer during cryopreservation. In the paper, two popular methods, slow freezing and vitrification, are compared. Furthermore, the basic model of thermal processes is supplemented by the phenomenon of phase transitions. To determine the temperature distribution during cryopreservation processes, one uses the heat transfer equation proposed by Pennes. An integral part of the energy equation is the substitute thermal capacity (STC) performed according to the concept named one domain method (fixed domain method), The numerical model is developed using the finite difference method (FDM) connected with directed interval arithmetic. The final part of the article contains the results of numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 53-65 |
| Number of pages | 13 |
| Journal | Journal of Applied Mathematics and Computational Mechanics |
| Volume | 22 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 |
Keywords
- cryopreservation
- directed interval arithmetic
- finite difference method
- phase changes
- slow freezing
- vitrification
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Mechanical Engineering
- Computational Mathematics
- Applied Mathematics
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