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Polymers 2018, 10(11), 1242;

Dielectric Trapping of Biopolymers Translocating through Insulating Membranes

Department of Physics, Bilkent University, Ankara 06800, Turkey
School of Nano Science, Institute for Research in Fundamental Sciences (IPM), Tehran 19395-5531, Iran
Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
Department of Applied Physics and QTF Center of Excellence, Aalto University School of Science, P.O. Box 11000, FI-00076 Aalto, Espoo, Finland
Author to whom correspondence should be addressed.
Received: 15 October 2018 / Revised: 4 November 2018 / Accepted: 6 November 2018 / Published: 9 November 2018
(This article belongs to the Special Issue Polymer Translocation)
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Sensitive sequencing of biopolymers by nanopore-based translocation techniques requires an extension of the time spent by the molecule in the pore. We develop an electrostatic theory of polymer translocation to show that the translocation time can be extended via the dielectric trapping of the polymer. In dilute salt conditions, the dielectric contrast between the low permittivity membrane and large permittivity solvent gives rise to attractive interactions between the c i s and t r a n s portions of the polymer. This self-attraction acts as a dielectric trap that can enhance the translocation time by orders of magnitude. We also find that electrostatic interactions result in the piecewise scaling of the translocation time τ with the polymer length L. In the short polymer regime L 10 nm where the external drift force dominates electrostatic polymer interactions, the translocation is characterized by the drift behavior τ L 2 . In the intermediate length regime 10 nm L κ b 1 where κ b is the Debye–Hückel screening parameter, the dielectric trap takes over the drift force. As a result, increasing polymer length leads to quasi-exponential growth of the translocation time. Finally, in the regime of long polymers L κ b 1 where salt screening leads to the saturation of the dielectric trap, the translocation time grows linearly as τ L . This strong departure from the drift behavior highlights the essential role played by electrostatic interactions in polymer translocation. View Full-Text
Keywords: polymer translocation; dielectric membranes; electrostatic interactions; charge screening polymer translocation; dielectric membranes; electrostatic interactions; charge screening

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Buyukdagli, S.; Sarabadani, J.; Ala-Nissila, T. Dielectric Trapping of Biopolymers Translocating through Insulating Membranes. Polymers 2018, 10, 1242.

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