Wall mediated transport in confined spaces: exact theory for low density
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Updated: Aug 30, 2026

Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
Owen G Jepps1, Suresh K Bhatia, Debra J Searles
1Division of Chemical Engineering, The University of Queensland, Brisbane, QLD 4072, Australia.
Abstract:
We present a theory for the transport of molecules adsorbed in slit and cylindrical nanopores at low density, considering the axial momentum gain of molecules oscillating between diffuse wall reflections. Good agreement with molecular dynamics simulations is obtained over a wide range of pore sizes, including the regime of single-file diffusion where fluid-fluid interactions are shown to have a negligible effect on the collective transport coefficient. We show that dispersive fluid-wall interactions considerably attenuate transport compared to classical hard sphere theory.
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