Title | ||
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Nonlinear mechanics of DNA doule strand: existence of the compact-envelope bright solitary wave. |
Abstract | ||
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We study the nonlinear dynamics of a homogeneous DNA chain which is based on site-dependent finite stacking and pairing enthalpies. We introduce an extended nonlinear Schrödinger equation describing the dynamics of modulated wave in DNA model. We obtain envelope bright solitary waves with compact support as a solution. Analytical criteria of existence of this solution are derived. The stability of bright compactons is confirmed by numerical simulations of the exact equations of the lattice. The impact of the finite stacking energy is investigated and we show that some of these compact bright solitary waves are robust, while others decompose very quickly depending on the finite stacking parameters. |
Year | DOI | Venue |
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2012 | 10.1109/EMBC.2012.6347222 | EMBC |
Keywords | Field | DocType |
functional analysis,dna,finite stacking enthalpy,modulated wave,nonlinear dynamical systems,homogeneous dna chain,nonlinear mechanics,finite stacking energy,molecular biophysics,molecular configurations,schrodinger equation,extended nonlinear schrodinger equation,pairing enthalpy,nonlinear dynamics,compact-envelope bright solitary wave | Nonlinear system,Molecular models of DNA,Lattice (order),Schrödinger equation,Pairing,Exact differential equation,Nonlinear Schrödinger equation,Classical mechanics,Physics,Stacking | Conference |
Volume | ISSN | ISBN |
2012 | 1557-170X | 978-1-4577-1787-1 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Paul Berlin Ndjoko | 1 | 0 | 0.34 |
Jean-Marie Bilbault | 2 | 0 | 0.34 |
Stéphane Binczak | 3 | 0 | 0.34 |
Timoléon Crépin Kofané | 4 | 0 | 0.34 |