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Here we report on the translocation of folded polymers through nano-poresusing molecular dynamic simulations. Two cases are studied; one in which afolded molecule unfolds upon passage and one in which the folding remainsintact as the molecule passes through the nano-pore. The topology of a foldedpolymer chain is defined as the arrangement of the intramolecular contacts,known as circuit topology. In the case where intramolecular contacts remainintact, we show that the dynamics of passage through a nano-pore varies formolecules with differing topologies: a phenomenon that can be exploited toenrich certain topologies in mixtures. We find that the nano-pore allowsreading of topology for short chains. Moreover, when the passage is coupledwith unfolding, the nano-pore enables discrimination between pure states, i.e.,states for which the majority of contacts are arranged identically. In thiscase, as we show here, it is also possible to read the positions of the contactsites along a chain. Our results demonstrate the applicability of nano-poretechnology to characterize and sort molecules based on their topology.

Topology Sorting and Characterization of Folded Polymers Using Nano-pores