Dynamics of DNA Methylation: Fractional Model Approach

Praveen Agarwal; Hossein Nasrolahpour; Nezha Maamri; Jean Claude Trigeassou; Rashid Nasrolahpour; Shaher Momani

doi:10.18576/pfda/110402

Dynamics of DNA Methylation: Fractional Model Approach

Praveen Agarwal
, Hossein Nasrolahpour
, Nezha Maamri
, Jean Claude Trigeassou
, Rashid Nasrolahpour
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

People's Friendship University of Russia
International College of Engineering
University of Tehran
Université de Poitiers
Umr 5218
Mazandaran University
University of Jordan

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	653-660
Number of pages	8
Journal	Progress in Fractional Differentiation and Applications
Volume	11
Issue number	4
DOIs	https://doi.org/10.18576/pfda/110402
State	Published - Oct 2025

Keywords

DNA Methylation
Fractional Dynamics
Infinite state approach
Memory Effect

Access to Document

10.18576/pfda/110402

Cite this

@article{a2aac771b5374a508dde4bbee854a582,

title = "Dynamics of DNA Methylation: Fractional Model Approach",

abstract = "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.",

keywords = "DNA Methylation, Fractional Dynamics, Infinite state approach, Memory Effect",

author = "Praveen Agarwal and Hossein Nasrolahpour and Nezha Maamri and Trigeassou, \{Jean Claude\} and Rashid Nasrolahpour and Shaher Momani",

note = "Publisher Copyright: {\textcopyright} 2025 NSP Natural Sciences Publishing Cor.",

year = "2025",

month = oct,

doi = "10.18576/pfda/110402",

language = "English",

volume = "11",

pages = "653--660",

journal = "Progress in Fractional Differentiation and Applications",

issn = "2356-9336",

publisher = "Natural Sciences Publishing",

number = "4",

}

TY - JOUR

T1 - Dynamics of DNA Methylation

T2 - Fractional Model Approach

AU - Agarwal, Praveen

AU - Nasrolahpour, Hossein

AU - Maamri, Nezha

AU - Trigeassou, Jean Claude

AU - Nasrolahpour, Rashid

AU - Momani, Shaher

PY - 2025/10

Y1 - 2025/10

N2 - 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.

AB - 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.

KW - DNA Methylation

KW - Fractional Dynamics

KW - Infinite state approach

KW - Memory Effect

UR - https://www.scopus.com/pages/publications/105017611110

U2 - 10.18576/pfda/110402

DO - 10.18576/pfda/110402

M3 - Article

AN - SCOPUS:105017611110

SN - 2356-9336

VL - 11

SP - 653

EP - 660

JO - Progress in Fractional Differentiation and Applications

JF - Progress in Fractional Differentiation and Applications

IS - 4

ER -

Dynamics of DNA Methylation: Fractional Model Approach

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this