6533b823fe1ef96bd127f676

RESEARCH PRODUCT

Nonlinear mechanics of DNA doule strand: existence of the compact-envelope bright solitary wave

Timoleon Crepin KofaneStéphane BinczakPaul Berlin NdjokoJean-marie Bilbault

subject

Models MolecularPhysicsStackingExact differential equationMolecular models of DNADNASchrödinger equationsymbols.namesakeNonlinear systemClassical mechanicsNonlinear DynamicsLattice (order)PairingsymbolsNucleic Acid ConformationNonlinear Schrödinger equation

description

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.

yearjournalcountryeditionlanguage
2013-02-012012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society
https://doi.org/10.1109/embc.2012.6347222