Transport Processes of Polymers through Nanometric Pore Membranes

A special issue of Polymers (ISSN 2073-4360). This special issue belongs to the section "Polymer Physics and Theory".

Deadline for manuscript submissions: closed (25 November 2023) | Viewed by 5514

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Engineering School (DEIM), University of Tuscia, Largo dell'Università, 01100 Viterbo, Italy
Interests: wavelets; fractals; fractional and stochastic equations; numerical and computational methods; mathematical physics; nonlinear systems; artificial intelligence
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Special Issue Information

Dear Colleagues,

The transport of polymers through membranes is a complicated case of study, physically, chemically, and mathematically speaking. When membrane pores have nanometric dimensions, this process becomes difficult to manage, both phenomenologically and as a philosophy of the applied computational model. We now ask whether the passage of polymers through nanopores occurs naturally or is stimulated, with the forces acting on them being considered, allowing the advancement of polymers.

Of particular interest is polyelectrolytes’ translocation dynamics owing to the important practices related to DNA sequencing.

It is also important to further specify whether this process takes place according to the classical equations of motion or whether it should be treated as a stochastic process or, moreover, assimilated with one type of nonlinear dynamics, according to the notions of deterministic chaos or fractal analysis.

We invite research focusing on the problems of synthesis, modification, characterization, and modeling of nanometer-size solid-state channels and pores as membrane constituents of either inert or biological nature. 

Another interesting topic is the strong coupling of the structure and transport in biological channels and polyelectrolyte-modified synthetic nanopores. In short, the structure dictates transport and transport affects structure.

Prof. Dr. Viorel-Puiu Paun
Prof. Dr. Carlo Cattani
Guest Editors

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Keywords

  • Nanopores
  • polymer transport
  • biological membrane
  • nanometer-size modeling
  • nanoconfinement
  • nanodiffusion
  • translocation time

Published Papers (3 papers)

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13 pages, 7181 KiB  
Article
Impact of the Polymer Backbone Structure on the Separation Properties of New Stationary Phases Based on Tricyclononenes
by Anastasiia Yu. Kanatieva, Dmitry A. Alentiev, Valeria E. Shiryaeva, Alexander A. Korolev and Alexander A. Kurganov
Polymers 2022, 14(23), 5120; https://doi.org/10.3390/polym14235120 - 24 Nov 2022
Cited by 2 | Viewed by 1401
Abstract
The main purpose of this paper is to compare the chromatographic properties of capillary columns prepared with polymers with different backbone structures and to demonstrate the possibility of polymer differentiation via inverse gas chromatography. With the use of addition and metathesis types of [...] Read more.
The main purpose of this paper is to compare the chromatographic properties of capillary columns prepared with polymers with different backbone structures and to demonstrate the possibility of polymer differentiation via inverse gas chromatography. With the use of addition and metathesis types of polymerization of tricyclononenes, two new stationary phases were prepared. The metathesis polymer contained double bonds in the polymeric backbone while the backbone of the addition polymer was fully saturated and relatively mobile. A comparison of the separation and adsorption properties of new phases with conventional gas chromatography (GC) stationary phases clearly indicated their non-polar characteristics. However, the difference in the polymer structure appeared to have very little effect on the stationary phase separation properties, so other parameters were used for polymer characterization. The thermodynamic parameters of the sorption of alkanes and aromatic compounds in both polymeric stationary phases were also very similar; however, the entropy of sorption for hydrocarbons with seven or more carbon atoms was different for the two polymers. An evaluation of the specific surface energy of the stationary phases also allowed us to discriminate the two stationary phases. Full article
(This article belongs to the Special Issue Transport Processes of Polymers through Nanometric Pore Membranes)
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12 pages, 2528 KiB  
Article
Time Estimation of Polymer Translocation through Nano-Membrane
by Maria-Alexandra Paun, Vladimir-Alexandru Paun and Viorel-Puiu Paun
Polymers 2022, 14(10), 2090; https://doi.org/10.3390/polym14102090 - 20 May 2022
Cited by 1 | Viewed by 1382
Abstract
In this paper, the charged polymer escapement phenomenon, via a little hole of nano-metric dimensions arranged in a constitutive biological membrane, is studied. We will present the case of the transport process of an ideal polymer in a 3-dimensional extended region separated by [...] Read more.
In this paper, the charged polymer escapement phenomenon, via a little hole of nano-metric dimensions arranged in a constitutive biological membrane, is studied. We will present the case of the transport process of an ideal polymer in a 3-dimensional extended region separated by a fine boundary named membrane in a free energy barrier attendance. Additionally, the general translocation time formula, respectively, the transition time from the cis area to the trans area, is presented. The model for estimation of the likelihood, designated by P(x, t), as a macromolecular chain of lengthiness equal to x, to be able to pass by the nanopore in escape period t, was optimized. The longest-lasting likely escape time found with this model is indicated to be tp = 330 μs. Thus, the results obtained with the described formula are in good agreement with those announced in the specialized literature. Full article
(This article belongs to the Special Issue Transport Processes of Polymers through Nanometric Pore Membranes)
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15 pages, 3894 KiB  
Review
Polymer Translocation through Nanometer Pores
by Maria-Alexandra Paun, Vladimir-Alexandru Paun and Viorel-Puiu Paun
Polymers 2022, 14(6), 1166; https://doi.org/10.3390/polym14061166 - 15 Mar 2022
Cited by 1 | Viewed by 1904
Abstract
In this paper the loaded polymer transport and its escape via a nanometer size aperture, virtually by nanomembrane, the polymer being moved by an exterior electrostatic field, has been studied. Assuming a linear dependency of the friction coefficient on the number of segments [...] Read more.
In this paper the loaded polymer transport and its escape via a nanometer size aperture, virtually by nanomembrane, the polymer being moved by an exterior electrostatic field, has been studied. Assuming a linear dependency of the friction coefficient on the number of segments m and a parabolic behavior for the open-free (Gibbs) energy, in attendance of a present electrical potential across nanopore, an explicit flux formula for the polymers passed over a dimensional restricted pore, was derived. In addition, the linear polymers transport through a nanometer-sized pore under the action of a constant force is presented. The important mechanical effects of superimposed steady force and the monomers number of macromolecule chain on the polymer translocation process by nanomembranes, in a 2D diffusion model, have been demonstrated. The escape time by a three-dimensional graph as a function of the electric field intensity and monomers number of polymer was represented. Full article
(This article belongs to the Special Issue Transport Processes of Polymers through Nanometric Pore Membranes)
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