Table 2.
Effects of parameter constraints on optimized piecewise constant procedures for equilibration of human oocytes with EG
| Procedure | Step | Non-permeating solute, M 1 (Osm/kg) | EG, M 2 (Osm/kg) | Time, t (min) | Toxicity ( J α ) |
|---|---|---|---|---|---|
|
Constraints: |
0 ≤ M1 ≤ 24 |
0 ≤ M2 ≤ 24 |
t ≥ 0 |
|
|
| Addition |
1 |
0 |
1.4 |
20 |
130 |
| |
2 |
0 |
2.4 |
16 |
|
| |
3 |
0 |
24 |
0.094 |
|
| Removal |
1 |
1.8 |
0 |
3.6 |
22 |
| |
2 |
0.66 |
0 |
15 |
|
|
Constraints: |
0 ≤ M1 ≤ 24 |
0 ≤ M2 ≤ 24 |
t ≥ 1 |
|
|
| Addition |
1 |
0 |
1.3 |
19 |
240 |
| |
2 |
0 |
2.4 |
16 |
|
| |
3 |
0 |
17 |
1.0 |
|
| Removal |
1 |
2.0 |
0 |
3.6 |
25 |
| |
2 |
0.65 |
0 |
15 |
|
|
Constraints: |
0 ≤ M1 ≤ 24 |
0 ≤ M2 ≤ 16 |
t ≥ 1 |
|
|
| Addition |
1 |
0 |
1.4 |
20 |
250 |
| |
2 |
0 |
2.5 |
16 |
|
| |
3 |
1.2 |
16 |
1.0 |
|
| Removal |
1 |
1.8 |
0 |
3.5 |
22 |
| |
2 |
0.68 |
0 |
13 |
|
|
Constraints: |
0.05 ≤ M1 ≤ 24 |
0 ≤ M2 ≤ 16 |
t ≥ 1 |
|
|
| Addition* |
1 |
0.050 |
1.4 |
24 |
|
| |
2 |
0.050 |
2.4 |
20 |
280 |
| |
3 |
1.2 |
16 |
1.0 |
|
| Removal* |
1 |
1.8 |
0 |
3.6 |
23 |
| 2 | 0.66 | 0 | 14 | ||
The goal state for EG addition was sf/wf = 53.7, which is equivalent to an intracellular concentration of 8.5 mol/L, or 16 Osm/kg.
*These procedures are illustrated in Figure 5.