The migration of the antioxidants from the polymeric blends is estimated by comparing the their initial amount with the amount of them remaining in the polymer after treatment. For this purpose, the antioxidants left in the polymer must be extracted and their amount subsequently determined.
For measuring the percentage of antioxidant migration, I have attached two articles which the methods have been explained.
The test that you need to perform to assess the migration of antioxidants (AO) to a simulant is a classic diffusion experiment between two different phases (solid and liquid phases). Since the diffusion of the AO from the polymer to the simulant occurs as a function of time (non-steady state), you need to measure the concentrations of your polymer or your simulant at different time intervals. You can measure the concentration in either phase or in both phases, depending on your analytical capabilities. In my opinion, it is much easier to measure the AO in the liquid phase than in the polymer, but if you can measure both it will be ok. Since the diffusion of the AO to the liquid phase take a long time, the experiments need to be carried out for several weeks or months, so that you can be able to measure the mass transfer rate of the system. In addition, different conditions can be tested to assess the termodynamic parameters of the process; regularly the process variable is the temperature, but other parameters can be tested such as pressure, and physicochemical characteristics of the simulant, the film thickness, different AOs, etc. Quantitatively from this experiment you may obtain the mass transfer coefficient, that is an indication of the AO transfer rate. Here I attach a link to a paper which reports a similar experiment that I performed for solute mass transfer diffusion in a nanofiltration polymeric membranes system. In this article we reported the details of the calculations of the mass transfer coefficients in a three-phase system.