“…To evaluate the efficiency of vitrification cryopreservation, we considered the probability of IIF (PIF) as an approximate evaluation of the final cell survival rate after cryopreservation. PIF can be estimated using the model as follows [23–25]:
where t is time, A c and V c are cell surface area and volume, respectively, and I is nucleation rate of that can be computed as follows:
where XCN represents either SCN or VCN , ‘ 0 ’ refers to isotonic condition, Ω and κ are thermodynamic and kinetic parameters for nucleation, N is number of water molecules in contact with the substrate, and η and T f are viscosity and equilibrium freezing temperature of the cytoplasm, respectively.…”