Dynamics of DNA Methylation: Fractional Model Approach

In this paper, we present a fractional calculus-based model to explore the dynamics of deoxyribonucleic acid (DNA) methylation. The advantage of using fractional calculus in the modeling of biological phenomena is that we can consider both space nonlocality and memory effect simultaneously which play an essential role in describing the complex dynamics of all biological systems and in particular dynamics of DNA. © 2025 NSP Natural Sciences Publishing Cor.

Авторы
Agarwal Praveen 1, 2, 3 , Nasrolahpour Hosein 4 , Maamri Nezha 5 , Trigeassou Jean Claude 6 , Nasrolahpour Rashid 7 , Momani Shaher M. 3, 8
Журнал
Progress in Fractional Differentiation and Applications
Издательство
Natural Sciences Publishing
Номер выпуска
4
Язык
Английский
Страницы
653-660
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.18576/PFDA/110402
Том
11
Год
2025
Организации
  • 1 RUDN University, Moscow, Moscow Oblast, Russian Federation
  • 2 Applied Nonlinear Science Lab, Anand International College of Engineering, Jaipur, RJ, India
  • 3 Ajman University, Ajman, Ajman, United Arab Emirates
  • 4 School of Electrical Engineering and Computer Science, University of Tehran, Tehran, Tehran, Iran
  • 5 Université de Poitiers, Poitiers, Nouvelle-Aquitaine, France
  • 6 Laboratoire de l’Intégration du Matériau au Système, Talence, Nouvelle-Aquitaine, France
  • 7 Department of Physics, University of Mazandaran, Babolsar, Mazandaran, Iran
  • 8 Department of Mathematics, The University of Jordan, Amman, Jordan
Ключевые слова
DNA Methylation; Fractional Dynamics; Infinite state approach; Memory Effect
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