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 …

[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 …

Medium viscosity influence on the open states genesis in a DNA molecule

MI Drobotenko, AA Svidlov, АA Dorohova… - Journal of …, 2023 - Taylor & Francis
The studies were carried out by the mathematical modeling of DNA mechanical
deformations. Numerical calculations done for the interferon alpha 17 gene, which consists …

Fluctuations cutoff in a 1D Hamiltonian model for DNA

M Zoli - Physica Scripta, 2024 - iopscience.iop.org
Considering a one dimensional mesoscopic model for DNA, we focus on the upper bound
for the base pair fluctuations, a relevant parameter in computer simulations for which …

Nonlinear physics opens a new paradigm for accurate transcription start site prediction

JA Barbero-Aparicio, S Cuesta-Lopez… - BMC …, 2022 - Springer
There is evidence that DNA breathing (spontaneous opening of the DNA strands) plays a
relevant role in the interactions of DNA with other molecules, and in particular in the …

Bubble relaxation dynamics in homopolymer DNA sequences

M Hillebrand, G Kalosakas, AR Bishop, C Skokos - Molecules, 2023 - mdpi.com
Understanding the inherent timescales of large bubbles in DNA is critical to a thorough
comprehension of its physicochemical characteristics, as well as their potential role on helix …

Model for melting transition of twisted DNA in a thermal bath

O Farzadian, T Oikonomou, M Moradkhani… - The European Physical …, 2023 - Springer
We investigated the melting transition of deoxyribonucleic acid (DNA) embedded in a
Langevin fluctuation–dissipation thermal bath. Torsional effects were taken into …