Akademik Veri Yönetim Sistemi
THEORY IN BIOSCIENCES, cilt.4, ss.1-30, 2025 (SCI-Expanded, Scopus)
KABUL EDİLDİ
DNA, or Deoxyribonucleic Acid, exists in every human
cell, including hair, blood, and skin, carrying the genetic blueprint for all
living organisms. Comprised of two strands with four nucleotides—adenine (A),
thymine (T), cytosine (C), and guanine (G)—DNA forms a double-helix structure
that encodes species-specific traits. Its ability to store data and perform
logical operations makes it crucial for biological research, particularly in
genome sequencing, which involves complex nonlinear mathematical models. To address these challenges, Nonlinear Partial
Differential Equations (NPDEs) effectively model DNA’s dynamic behavior. The
Atangana’s conformable derivative accommodates memory effects and nonlocal
properties, which are crucial in describing the viscoelastic and hereditary
nature of biological systems such as DNA. Unlike integer-order derivatives,
this approach captures the complexity of the molecular interactions and
relaxation phenomena observed in DNA dynamics. Recent literature has supported
the use of fractional models for DNA due to their ability to reflect real-world
phenomena more accurately (e.g., base pair opening and long-range
interactions). In this study, we explore fractional-order derivatives using
Atangana’s conformable derivaDNA, or Deoxyribonucleic Acid, exists in every human
cell, including hair, blood, and skin, carrying the genetic blueprint for all
living organisms. Comprised of two strands with four nucleotides—adenine (A),
thymine (T), cytosine (C), and guanine (G)—DNA forms a double-helix structure
that encodes species-specific traits. Its ability to store data and perform
logical operations makes it crucial for biological research, particularly in
genome sequencing, which involves complex nonlinear mathematical models. To address these challenges, Nonlinear Partial
Differential Equations (NPDEs) effectively model DNA’s dynamic behavior. The
Atangana’s conformable derivative accommodates memory effects and nonlocal
properties, which are crucial in describing the viscoelastic and hereditary
nature of biological systems such as DNA. Unlike integer-order derivatives,
this approach captures the complexity of the molecular interactions and
relaxation phenomena observed in DNA dynamics. Recent literature has supported
the use of fractional models for DNA due to their ability to reflect real-world
phenomena more accurately (e.g., base pair opening and long-range
interactions). In this study, we explore fractional-order derivatives using
Atangana’s conformable derivative, applying the 
-expansion method to investigate double-chain
DNA dynamical patterns. This method
provides precise soliton solutions, such as one-soliton kinks, multiple-soliton
solutions, and periodic waves, crucial for understanding DNA’s optical
properties. Solitons represent localized, stable wave packets that maintain
their shape while propagating. In the context of DNA, these structures can
model energy transmission along the chain without dispersion. This directly
corresponds to base pair openings during transcription, where localized energy
must be delivered and preserved to break hydrogen bonds selectively. Hence,
solitons offer a feasible mathematical abstraction of physical mechanisms
observed in transcription and DNA breathing. The visualized soliton solutions
from the Space-Time Fractional Order Double-Chain DNA model underscore the
system’s biological importance. The findings have potential applications in
evaluating systems and refining scientific insights into DNA dynamics.
tive, applying the -expansion method to investigate double-chain
DNA dynamical patterns. This method
provides precise soliton solutions, such as one-soliton kinks, multiple-soliton
solutions, and periodic waves, crucial for understanding DNA’s optical
properties. Solitons represent localized, stable wave packets that maintain
their shape while propagating. In the context of DNA, these structures can
model energy transmission along the chain without dispersion. This directly
corresponds to base pair openings during transcription, where localized energy
must be delivered and preserved to break hydrogen bonds selectively. Hence,
solitons offer a feasible mathematical abstraction of physical mechanisms
observed in transcription and DNA breathing. The visualized soliton solutions
from the Space-Time Fractional Order Double-Chain DNA model underscore the
system’s biological importance. The findings have potential applications in
evaluating systems and refining scientific insights into DNA dynamics.