2020
DOI: 10.1039/d0ra06359b
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Instability and translocation through nanopores of DNA interacting with single-layer materials

Abstract: Using classical applied mathematical modelling to employ the 6–12 Lennard-Jones potential function along with the continuous approximation to investigate the interaction energy between dsDNA and 2D-nanomaterials, namely GRA, h-BN, MoS2 and WS2 sheets.

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Cited by 4 publications
(3 citation statements)
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“…Therefore, we used mathematical modeling techniques that are necessary to formulate explicit analytical criteria and ideal model behaviour to complement the efforts of experimentalists. The interactions between various nanostructured materials have been widely determined using mathematical modeling [ 20 , 21 , 22 , 23 , 24 ]. The standard method for this modeling is to employ the Lennard–Jones potential together with the continuous approximation; which is assumed that the atoms are uniformly distributed over the surface of the molecules [ 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, we used mathematical modeling techniques that are necessary to formulate explicit analytical criteria and ideal model behaviour to complement the efforts of experimentalists. The interactions between various nanostructured materials have been widely determined using mathematical modeling [ 20 , 21 , 22 , 23 , 24 ]. The standard method for this modeling is to employ the Lennard–Jones potential together with the continuous approximation; which is assumed that the atoms are uniformly distributed over the surface of the molecules [ 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…Mathematical modelling may also be used to accurately predict the ideal configurations and the main physical parameters. Mathematical modelling has been widely used to obtain the interaction energies between various nanostructured materials [15,[21][22][23][24]. The usual method of modelling in this area is to apply the Lennard-Jones function with the continuous approximation, which assumes that the atoms are uniformly distributed over the volume or surface of the molecules [21].…”
Section: Introductionmentioning
confidence: 99%
“…Although BNNTs and CNTs have structural similarities, the two nanotubes differ in some properties, which cause different behaviors for each. For example, the bond lengths of C-C bonds and B-N bonds are approximately 1.42 and 1.45 Å, respectively [9,10].…”
mentioning
confidence: 99%