Soliton Solution of the Peyrard–Bishop–Dauxois Model of DNA Dynamics with M-Truncated and β-Fractional Derivatives Using Kudryashov's R Function Method

X Wang, G Akram, M Sadaf, H Mariyam, M Abbas - Fractal and Fractional, 2022 - mdpi.com
In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with
the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov's R …

Non-linear Hamiltonian models for DNA

M Zoli - European Biophysics Journal, 2022 - Springer
Nucleic acids' physical properties have been investigated by theoretical methods based
both on fully atomistic representations and on coarse-grained models, eg, the worm-like …

Examining DNA breathing with pyDNA-EPBD

A Kabir, M Bhattarai, KØ Rasmussen, A Shehu… - …, 2023 - academic.oup.com
Motivation The two strands of the DNA double helix locally and spontaneously separate and
recombine in living cells due to the inherent thermal DNA motion. This dynamics results in …

Influence of a single deuterium substitution for protium on the frequency generation of different-size bubbles in IFNA17

A Basov, A Dorohova, V Malyshko, A Moiseev… - International Journal of …, 2023 - mdpi.com
The influence of a single 2H/1H replacement on the frequency generation of different-size
bubbles in the human interferon alpha-17 gene (IFNA17) under various energies was …

Bubble lifetimes in DNA gene promoters and their mutations affecting transcription

M Hillebrand, G Kalosakas, AR Bishop… - The Journal of Chemical …, 2021 - pubs.aip.org
Relative lifetimes of inherent double stranded DNA openings with lengths up to ten base
pairs are presented for different gene promoters and corresponding mutants that either …

Bayesian inference of length distributions of human DNA

JP Correia, R Silva, D Anselmo, JRP da Silva - Chaos, Solitons & Fractals, 2022 - Elsevier
The distribution of length of a human DNA molecule follows some statistical models. The
core of the approaches is associated with the distribution of the length of the chain of DNA …

[HTML][HTML] Equilibrium melting probabilities of a DNA molecule with a defect: An exact solution of the Poland–Scheraga model

A Genthon, A Dvirnas, T Ambjörnsson - The Journal of Chemical …, 2023 - pubs.aip.org
In this study we derive analytically the equilibrium melting probabilities for basepairs of a
DNA molecule with a defect site. We assume that the defect is characterized by a change in …

Base pair fluctuations in helical models for nucleic acids

M Zoli - The Journal of Chemical Physics, 2021 - pubs.aip.org
A statistical method is developed to estimate the maximum amplitude of the base pair
fluctuations in a three dimensional mesoscopic model for nucleic acids. The base pair …

Melting of confined DNA: static and dynamic properties

D Mohanta - Soft Matter, 2022 - pubs.rsc.org
We study dsDNA (double strand DNA) melting in detail within varying strip-like confinement
in a two-dimensional lattice model. The interplay between reduced configurational entropy …

Large bubble drives circular DNA melting

S Sengupta, SM Bhattacharjee, G Mishra - Physical Chemistry …, 2024 - pubs.rsc.org
We investigate the melting transition of non-supercoiled circular DNA of different lengths,
employing Brownian dynamics simulations. In the absence of supercoiling, we find that …