Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity
The study of solitary wave solutions is of prime significance fornonlinear physical systems. The Peyrard-Bishop model for DNA dynamics isgeneralized specifically to include the difference among bases pairs and vis-cosity. The small amplitude dynamics of the model is studied analyticallyand reduced t...
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AIMS Press
2007-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.205 |
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| author | Conrad Bertrand Tabi Alidou Mohamadou Timoleon Crepin Kofane |
| author_facet | Conrad Bertrand Tabi Alidou Mohamadou Timoleon Crepin Kofane |
| author_sort | Conrad Bertrand Tabi |
| collection | DOAJ |
| description | The study of solitary wave solutions is of prime significance fornonlinear physical systems. The Peyrard-Bishop model for DNA dynamics isgeneralized specifically to include the difference among bases pairs and vis-cosity. The small amplitude dynamics of the model is studied analyticallyand reduced to a discrete complex Ginzburg-Landau (DCGL) equation. Ex-act solutions of the obtained wave equation are obtained by the mean of theextended Jacobian elliptic function approach. These amplitude solutions aremade of bubble solitons. The propagation of a soliton-like excitation in a DNAis then investigated through numerical integration of the motion equations. Weshow that discreteness can drastically change the soliton shape. The impactof viscosity as well as elasticity on DNA dynamic is also presented. The profile of solitary wave structures as well as the energy which is initially evenlydistributed over the lattice are displayed for some fixed parameters. |
| format | Article |
| id | doaj-art-da748d6fb30440b4bc6b10a7c1196eac |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-da748d6fb30440b4bc6b10a7c1196eac2025-01-24T01:57:51ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-12-015120521610.3934/mbe.2008.5.205Soliton-like excitation in a nonlinear model of DNA dynamics with viscosityConrad Bertrand Tabi0Alidou Mohamadou1Timoleon Crepin Kofane2Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, YaoundeLaboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, YaoundeLaboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, YaoundeThe study of solitary wave solutions is of prime significance fornonlinear physical systems. The Peyrard-Bishop model for DNA dynamics isgeneralized specifically to include the difference among bases pairs and vis-cosity. The small amplitude dynamics of the model is studied analyticallyand reduced to a discrete complex Ginzburg-Landau (DCGL) equation. Ex-act solutions of the obtained wave equation are obtained by the mean of theextended Jacobian elliptic function approach. These amplitude solutions aremade of bubble solitons. The propagation of a soliton-like excitation in a DNAis then investigated through numerical integration of the motion equations. Weshow that discreteness can drastically change the soliton shape. The impactof viscosity as well as elasticity on DNA dynamic is also presented. The profile of solitary wave structures as well as the energy which is initially evenlydistributed over the lattice are displayed for some fixed parameters.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.205bubble solitondna dynamicsdensityenergy.discrete complex ginzburg-landauequationjacobian elliptic functions |
| spellingShingle | Conrad Bertrand Tabi Alidou Mohamadou Timoleon Crepin Kofane Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity Mathematical Biosciences and Engineering bubble soliton dna dynamics densityenergy. discrete complex ginzburg-landauequation jacobian elliptic functions |
| title | Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity |
| title_full | Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity |
| title_fullStr | Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity |
| title_full_unstemmed | Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity |
| title_short | Soliton-like excitation in a nonlinear model of DNA dynamics with viscosity |
| title_sort | soliton like excitation in a nonlinear model of dna dynamics with viscosity |
| topic | bubble soliton dna dynamics densityenergy. discrete complex ginzburg-landauequation jacobian elliptic functions |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.205 |
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