The purpose of this ‘Nano Idea Letter’ is to propose a specific model for the nanoimpurity trapping capability of cylindrical-like channels with nanostructured inner walls of the type composing filters of category ‘b’ in the previous paragraph. We explore theoretically a simplified but realistic

view LEE011 mouse in which the improved filtration capability is primarily due to the fact that the nanotexturing exposes electrical charges in the walls which induce both electrostatic and van der Waals attractions over the impurities in the fluid. This nanostructuring also provides chemical anchors for the binding of those impurities once they collide with the SN-38 research buy channel walls. Correspondingly, our basic ingredients will be the introduction of an effective-charge density, z e , of the inner walls of the channels and writing down as a function of z e the impurity trapping probability. As it could be expected, z e will depend on the areal density n of impurities already trapped in the

inner walls of the channel. We obtain within the model the evolution of n and z e with position x and with time t when the liquid is flowing through the channel. The model produces agreement with the initial trapping performances quantitatively reported by experimentalists in various systems. Also, we propose that further detailed measurements as a function of time may be Akt activation crucial to test these ideas more thoroughly. We believe that some aspects of the model could also be useful to partly explain the trapping of the smaller ions in the nanodiameter channels of category ‘a’. However, its full applicability to that case

is limited by our use of classical dynamics for the carrying fluid. Hence, we do not focus here on that category (also, for these nanodiameter channels, in which the number of fluid atoms is manageably Etomidate small, molecular dynamics simulations as those in [2] could be a more reliable, albeit not general, approach). Obtainment of an equation for the areal density of trapped impurities in a channel with nanostructured walls Initial modelling and notations Our starting point, and most of our basic notations, is illustrated in Figure 1. We consider a channel with nanostructured inner walls, its nominal shape being cylindrical-like with average radius r 0and length L. We divide it into slices along the axial coordinate x, each with differential thickness d x. A fluid flows through the channel due to externally applied hydrostatic pressure, carrying a load of impurities.