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Table 2 Effects of parameter constraints on optimized piecewise constant procedures for equilibration of human oocytes with EG

From: Mathematically optimized cryoprotectant equilibration procedures for cryopreservation of human oocytes

Procedure Step Non-permeating solute, M1(Osm/kg) EG, M2(Osm/kg) Time, t(min) Toxicity (Jα)
Constraints: 0 ≤M 1 ≤ 24 0 ≤M 2 ≤ 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 ≤M 1 ≤ 24 0 ≤M 2 ≤ 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 ≤M 1 ≤ 24 0 ≤M 2 ≤ 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 ≤M 1 ≤ 24 0 ≤M 2 ≤ 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  
  1. 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.
  2. *These procedures are illustrated in Figure 5.