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

***

  1. w: water, s: permeating solute, n: non-permeating solute, o: initial value. e: extracellular, i: intracellular. *Lp and Ps values were experimentally derived for exposure to 1.5 M EG, at room temperature, as described previously18. These values were also applied for calculating volume changes in response to exposure to other EG concentrations. **The values were obtained from the literature8. ***Furthermore, these values were used in Eqs. (7) and (8) for deriving Lpg, ELp, as well as Psg and EPs values; for calculating Lp and Ps values at different temperatures.