Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10255204" target="_blank" >RIV/61989100:27740/24:10255204 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.sciencedirect.com/science/article/pii/S2090447924002399?via%3Dihub#ab0010" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2090447924002399?via%3Dihub#ab0010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.asej.2024.102864" target="_blank" >10.1016/j.asej.2024.102864</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model
Popis výsledku v původním jazyce
In this research, we present a new auxiliary equation approach, which uses two distinct fractional derivatives: /3- and M-truncated fractional derivatives to explore the space-time fractional Peyrard-Bishop DNA dynamic model equation. This examines the nonlinear interplay between neighboring displacements and hydrogen bonds through mathematical modeling of DNA vibration dynamics. The solutions are tasked with examining the nonlinear interaction among neighboring displacements of the DNA strand. The generated solutions exhibit various wave patterns under varying fractional values and parametric conditions: w-shape, bright, combined periodic wave solutions, dark-bright, bell shaped, m-shaped, w-shaped with two bright solutions, and m-shape with two dark solutions. Graphical representations provide a complete analysis of these physical features. The results demonstrate the successful implementation of the proposed approach, which will be advantageous for locating analytical remedies to more nonlinear challenges.
Název v anglickém jazyce
Analytical study of fractional DNA dynamics in the Peyrard-Bishop oscillator-chain model
Popis výsledku anglicky
In this research, we present a new auxiliary equation approach, which uses two distinct fractional derivatives: /3- and M-truncated fractional derivatives to explore the space-time fractional Peyrard-Bishop DNA dynamic model equation. This examines the nonlinear interplay between neighboring displacements and hydrogen bonds through mathematical modeling of DNA vibration dynamics. The solutions are tasked with examining the nonlinear interaction among neighboring displacements of the DNA strand. The generated solutions exhibit various wave patterns under varying fractional values and parametric conditions: w-shape, bright, combined periodic wave solutions, dark-bright, bell shaped, m-shaped, w-shaped with two bright solutions, and m-shape with two dark solutions. Graphical representations provide a complete analysis of these physical features. The results demonstrate the successful implementation of the proposed approach, which will be advantageous for locating analytical remedies to more nonlinear challenges.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
21100 - Other engineering and technologies
Návaznosti výsledku
Projekt
—
Návaznosti
O - Projekt operacniho programu
Ostatní
Rok uplatnění
2024
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Ain Shams Engineering Journal
ISSN
2090-4479
e-ISSN
2090-4495
Svazek periodika
15
Číslo periodika v rámci svazku
8
Stát vydavatele periodika
NL - Nizozemsko
Počet stran výsledku
10
Strana od-do
—
Kód UT WoS článku
001274164000001
EID výsledku v databázi Scopus
2-s2.0-85194392503