Thermal Stability and Nonlinear Energy Localization in DNA Double-Strand Dynamics Using an Extended Peyrard–Bishop Model
DOI:
https://doi.org/10.31185/bsj.Vol22.Iss43.1708Keywords:
DNA dynamics; Peyrard–Bishop model; nonlinear localization; thermal denaturation; breather modes; statistical mechanicsAbstract
This research presents a comprehensive analysis of thermal stability mechanisms and nonlinear energy localization in double-stranded DNA dynamics, utilizing an extended Peyrard–Bishop model that incorporates nonlinear stacking effects and temperature-dependent parameters. The study focuses on the formation of nonlinear localized excitations, such as breathers and soliton-like structures, and their role in enhancing hydrogen-bond resilience to thermal perturbations. The research employs two integrated methodologies: a theoretical analysis using perturbation techniques to elucidate the precise mathematical behavior of the model, and numerical simulations through time integration via finite difference methods to observe the evolution of localized patterns under increasing thermal conditions.
The findings indicate that nonlinear energy localization enhances DNA's thermal capacity at moderate temperatures, while exceeding a critical thermal threshold triggers strand separation and initiates melting.
These results help elucidate melting transitions in DNA and advance understanding of energy-transfer mechanisms in biological systems.
References
1. Florio, G., & Puglisi, G. (2023). Thermomechanical melting and thermal transitions in double-stranded DNA. Acta Biomaterialia, 157, 225–235. https://doi.org/10.1016/j.actbio.2022.11.046
2. Likhachev, I. V., Shigaev, A. S., & Lakhno, V. D. (2024). Thermodynamics of DNA double strand in Peyrard–Bishop–Dauxois models. Physics Letters A, 510, 129547. https://doi.org/10.1016/j.physleta.2024.129547
3. Khater, M. M. A., Zakarya, M., Nisar, K. S., & Abdel-Aty, A. H. (2024). Stability analysis and nonlinear dynamics in DNA models. AIMS Mathematics, 9(9), 23449–23467. https://doi.org/10.3934/math.20241140
4. Wang, X., Akram, G., Sadaf, M., Mariyam, H., & Abbas, M. (2022). Soliton solutions and fractional modeling for DNA dynamics. Fractal and Fractional, 6(10), 616. https://doi.org/10.3390/fractalfract6100616
5. Mathur, N. (2025). Crowded solution melting profiles via extended PBD analysis [Manuscript under review].
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