New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model
This article discusses dynamics of the fractal double-chain deoxyribonucleic acid model. This structure contains two long elastic homogeneous strands that serve as two polynucleotide chains of deoxyribonucleic acid molecules, bounded by an elastic membrane indicating hydrogen bonds between the base...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2297866 |
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| author | Zara Hassan Nauman Raza Abdel-Haleem Abdel-Aty Mohammed Zakarya Riaz Ur Rahman Adeela Yasmeen Abdisalam Hassan Muse Emad E. Mahmoud |
| author_facet | Zara Hassan Nauman Raza Abdel-Haleem Abdel-Aty Mohammed Zakarya Riaz Ur Rahman Adeela Yasmeen Abdisalam Hassan Muse Emad E. Mahmoud |
| author_sort | Zara Hassan |
| collection | DOAJ |
| description | This article discusses dynamics of the fractal double-chain deoxyribonucleic acid model. This structure contains two long elastic homogeneous strands that serve as two polynucleotide chains of deoxyribonucleic acid molecules, bounded by an elastic membrane indicating hydrogen bonds between the base pairs of two chains. The semi-inverse variational principle and auxiliary equation method are employed to extricate soliton solutions. The collection of retrieved exact solutions includes bright, dark, periodic, and other solitons. The constraint conditions emerge naturally which ensure the presence of these solutions. Additionally, 2D and 3D graphs showing the impact of fractals on solutions are included. These plots use appropriate parameter values. Furthermore, sensitivity analysis of the considered model is also acknowledged. The outcomes reveal that these techniques are reliable, effective, and applicable to various biological systems. |
| format | Article |
| id | doaj-art-6c23cd7109a74537a08d8a4ae938dfbb |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6c23cd7109a74537a08d8a4ae938dfbb2025-08-20T03:33:45ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2297866New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA ModelZara Hassan0Nauman Raza1Abdel-Haleem Abdel-Aty2Mohammed Zakarya3Riaz Ur Rahman4Adeela Yasmeen5Abdisalam Hassan Muse6Emad E. Mahmoud7Department of MathematicsDepartment of MathematicsDepartment of PhysicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics (Statistics Option) ProgramDepartment of Mathematics and StatisticsThis article discusses dynamics of the fractal double-chain deoxyribonucleic acid model. This structure contains two long elastic homogeneous strands that serve as two polynucleotide chains of deoxyribonucleic acid molecules, bounded by an elastic membrane indicating hydrogen bonds between the base pairs of two chains. The semi-inverse variational principle and auxiliary equation method are employed to extricate soliton solutions. The collection of retrieved exact solutions includes bright, dark, periodic, and other solitons. The constraint conditions emerge naturally which ensure the presence of these solutions. Additionally, 2D and 3D graphs showing the impact of fractals on solutions are included. These plots use appropriate parameter values. Furthermore, sensitivity analysis of the considered model is also acknowledged. The outcomes reveal that these techniques are reliable, effective, and applicable to various biological systems.http://dx.doi.org/10.1155/2022/2297866 |
| spellingShingle | Zara Hassan Nauman Raza Abdel-Haleem Abdel-Aty Mohammed Zakarya Riaz Ur Rahman Adeela Yasmeen Abdisalam Hassan Muse Emad E. Mahmoud New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model Journal of Function Spaces |
| title | New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model |
| title_full | New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model |
| title_fullStr | New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model |
| title_full_unstemmed | New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model |
| title_short | New Fractal Soliton Solutions and Sensitivity Visualization for Double-Chain DNA Model |
| title_sort | new fractal soliton solutions and sensitivity visualization for double chain dna model |
| url | http://dx.doi.org/10.1155/2022/2297866 |
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