Khalid K Ali, Mohamed S Mohamed, M Maneea, Monica Botros
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引用次数: 0
Abstract
The dynamics of DNA molecules play a crucial role in understanding genetic information storage, replication, and transmission. This study investigates the nonlinear dynamics of double-chain DNA systems using fractional-order differential equations, addressing the need for accurate mathematical models to capture the complex, non-local interactions inherent in biological systems. Traditional integer-order models often fail to account for memory effects and anomalous diffusion observed in DNA behavior. By employing fractional calculus, we develop a more realistic framework to model longitudinal and transverse displacements in DNA strands. The Laplace Residual Power Series Method (L-RPSM) is utilized to derive analytical solutions for (2+1)- and (3+1)-dimensional fractional DNA models, validated through numerical and graphical comparisons with exact solutions. Numerical experiments demonstrate that the method achieves absolute errors up to compared with exact solutions. Our results demonstrate the efficacy of fractional calculus in capturing the nuanced dynamics of DNA, offering insights into soliton propagation and structural analysis, which are vital for applications in biophysics and genetic engineering.
期刊介绍:
Theory in Biosciences focuses on new concepts in theoretical biology. It also includes analytical and modelling approaches as well as philosophical and historical issues. Central topics are:
Artificial Life;
Bioinformatics with a focus on novel methods, phenomena, and interpretations;
Bioinspired Modeling;
Complexity, Robustness, and Resilience;
Embodied Cognition;
Evolutionary Biology;
Evo-Devo;
Game Theoretic Modeling;
Genetics;
History of Biology;
Language Evolution;
Mathematical Biology;
Origin of Life;
Philosophy of Biology;
Population Biology;
Systems Biology;
Theoretical Ecology;
Theoretical Molecular Biology;
Theoretical Neuroscience & Cognition.