Solute diffusion in medical devices comprising polymeric materials may raise public health issues, where toxicological risks may arise via unintended leaching from implanted devices. However, accurately measuring solute diffusion coefficients (
D) at physiological temperature is a challenge, both experimentally and with simulations. Although molecular dynamics (MD) simulations can be used to predict
D for gases in polymers with great accuracy, it remains challenging to quantify
D for larger molecules (molecular weight > 100 g/mol), like plasticizers, dyes, or drugs. Heavier molecules diffuse more slowly, so both experiments and simulations can take months of real time to arrive at an estimate of
D [1, 2]. Here, we discuss a method to bypass these time-consuming approaches. We show a link between
D and the Debye-Waller factor (
u2), a measure of solute âcagingâ between diffusive hops. Using MD, we simulate a variety of polymer/solute combinations across the glass transition. Above the so-called mode-coupling temperature T
C, there is an apparently universal linear relation between
ln D and 1/
u2. Below T
C, this relation still provides an upper bound on
D, which may be a useful limit when assessing medical device safety in practice. Because
u2 can be quantified in very short MD simulations, this suggests a means to rapidly estimate
D [2].
- C. Forrey, D. M. Saylor, J. S. Silverstein, J. F. Douglas, E. M. Davis, Y. A. Elabd, Prediction and validation of diffusion coefficients in a model drug delivery system using microsecond atomistic molecular dynamics simulation and vapour sorption analysis. Soft Matter 10, 7480-7494 (2014).
- D. M. Saylor, S. Jawahery, J. S. Silverstein, C. Forrey, Communication: Relationship between solute localization and diffusion in a dynamically constrained polymer system. The Journal of Chemical Physics 145, 031106 (2016).