Table 1 Parameters and values used for 2-parameter fitting and modeling of equine oocyte volume responses towards solutions containing various EG concentrations.
From: Loading equine oocytes with cryoprotective agents captured with a finite element method model
Parameter | Description | Value | Units | Notes |
|---|---|---|---|---|
V | Volume | (variable) | µm3 | |
t | Incubation duration | (variable) | µm3 | |
M | Molarity | (variable) | mol µm−3 | |
T | Temperature | 278.15 | K | (5 °C) |
283.15 | (10 °C) | |||
293.15 | (20 °C) | |||
R | Universal gas constant | 8.205745 × 1013 | µm3 atm mol−1 K−1 | |
1.987204 | cal mol−1 K−1 | |||
A | Cell area | 34,763.12 | µm2 | |
V0 | Isotonic cell volume | 609,469.49 | µm3 | |
Vbf | Fractional value of cell solids | 0.3123 | – | |
Vb | Osmotically inactive volume | 190,337.32 | µm3 | |
\(\overline{Vs }\) | Partial molar volume of permeating solute/EG | 5.5919 × 1013 | µm3 mol−1 | |
\({M}_{n0}^{i}\) | Initial cell osmolality | 0.300 × 10−15 | mol µm−3 | |
\({M}_{s0}^{i}\) | Initial intracellular permeating solute osmolality | 0 | mol µm−3 | |
\({M}^{e}\) | External/medium osmolality | 1.800 × 10−15 | mol µm−3 | (1.5 mol L−1) |
1.000 × 10−15 | (1.0 mol L−1) | |||
0.750 × 10−15 | (0.75 mol L−1) | |||
\({M}_{n}^{e}\) | External non-permeating solute osmolality | 0.300 × 10−15 | mol µm−3 | |
\({M}_{s}^{e}\) | Extracellular permeating solute osmolality | 1.500 × 10−15 | mol µm−3 | (1.5 mol L−1) |
0.700 × 10−15 | (1.0 mol L−1) | |||
0.450 × 10−15 | (0.75 mol L−1) | |||
Lp | Cell membrane hydraulic permeability | 0.6284 | µm min−1 atm−1 | * (1.5 mol L−1, 22 °C) |
Ps | Cell membrane solute/EG permeability | 20.3660 | µm min−1 | * (1.5 mol L−1, 22 °C) |
ELp | Activation energy for Lp | 11.19 × 103 | cal mol−1 | ** |
EPs | Activation energy for Ps | 15.81 × 103 | cal mol−1 | ** |
Lpg | Cell membrane hydraulic permeability at 0 °C | 0.1522 | µm min−1 atm−1 | *** |
Psg | Cell membrane solute/EG permeability at 0 °C | 3.7660 | µm min−1 | *** |