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. Author manuscript; available in PMC: 2017 Sep 11.
Published in final edited form as: Theriogenology. 2005 Jun;63(9):2395–2415. doi: 10.1016/j.theriogenology.2004.09.051

Table 3.

Predicted sub-zero membrane permeability parameters and the optimal rates of freezing for X. helleri sperm cells in the presence of extracellular ice and cryoprotective agents (CPAs)

Assumed inactive cell volume (Vb) Freezing media Lpg or Lpg[cpa] × 1015 m3/Ns (μm/min atm) ELp or ELp[cpa] kJ/mol (kcal/mol) Goodness of fit, R2 value Predicted optimal cooling rate (°C/min)
0.4Vo HBSS 1.13 (0.0067)   48.90 (11.68) 0.997 90
HBSS with 14% glycerol 1.82 (0.0108) 104.60 (25.01) 0.997 25
HBSS with 10% DMSO 2.45 (0.0145) 119.00 (28.45) 0.997 24
0.8Vo HBSS 0.42 (0.0025)   62.70 (15.00) 0.996 71
HBSS with 14% glycerol 0.41 (0.0024)   41.70 (9.96) 0.962 20
HBSS with 10% DMSO 0.46 (0.0027)   43.20 (10.32) 0.966 25