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Theoretical modeling of polymer translocation: From the electrohydrodynamics of short polymers to the fluctuating long polymers

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posted on 2019-01-29, 13:47 authored by Sahin Buyukdagli, Jalal Sarabadani, Tapio Ala-NissilaTapio Ala-Nissila
The theoretical formulation of driven polymer translocation through nanopores is complicated by the combination of the pore electrohydrodynamics and the nonequilibrium polymer dynamics originating from the conformational polymer fluctuations. In this review, we discuss the modeling of polymer translocation in the distinct regimes of short and long polymers where these two effects decouple. For the case of short polymers where polymer fluctuations are negligible, we present a stiff polymer model including the details of the electrohydrodynamic forces on the translocating molecule. We first show that the electrohydrodynamic theory can accurately characterize the hydrostatic pressure dependence of the polymer translocation velocity and time in pressure-voltage-driven polymer trapping experiments. Then, we discuss the electrostatic correlation mechanisms responsible for the experimentally observed DNA mobility inversion by added multivalent cations in solid-state pores, and the rapid growth of polymer capture rates by added monovalent salt in α -Hemolysin pores. In the opposite regime of long polymers where polymer fluctuations prevail, we review the iso-flux tension propagation (IFTP) theory, which can characterize the translocation dynamics at the level of single segments. The IFTP theory is valid for a variety of polymer translocation and pulling scenarios. We discuss the predictions of the theory for fully flexible and rodlike pore-driven and end-pulled translocation scenarios, where exact analytic results can be derived for the scaling of the translocation time with chain length and driving force.

Funding

This research was funded by the Academy of Finland QTF Centre of Excellence program (project 312298).

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Polymers

Volume

11

Issue

1

Citation

BUYUKDAGLI, S., SARABADANI, J. and ALA-NISSILA, T., 2019. Theoretical modeling of polymer translocation: From the electrohydrodynamics of short polymers to the fluctuating long polymers. Polymers, 11(1): 118 .

Publisher

© The Authors. Published by MDPI AG

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/

Acceptance date

2019-01-07

Publication date

2019-01-11

Notes

This is an Open Access Article. It is published by MDPI under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

eISSN

2073-4360

Language

  • en

Article number

118

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