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• W2029293757 startingPage "70" @default.
• W2029293757 abstract "A model of the DNA is proposed and studied analytically and numerically. The model is an extension of a well known model and describes the double helix as two chains of pendula (each pendulum representing a base). Each base (or pendulum) can rotate and translate along the helix axis. In the continuum limit the system is described by the perturbed Sine–Gordon equation describing the twist of the bases and by a nonlinear partial differential equation (PDE) describing the longitudinal displacements of the bases. This coupled system of PDEs was studied analytically using different approaches and the corresponding results were tested through numerical simulations. It was found that if the coupling parameters satisfy a well defined relationship, then there exist bounded travelling wave solutions." @default.
• W2029293757 created "2016-06-24" @default.
• W2029293757 creator A5020191433 @default.
• W2029293757 date "2013-09-01" @default.
• W2029293757 modified "2023-09-27" @default.
• W2029293757 title "Longitudinal displacements of base pairs in DNA and effects on the dynamics of nonlinear excitations" @default.
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• W2029293757 doi "https://doi.org/10.1016/j.mbs.2013.03.010" @default.
• W2029293757 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23567838" @default.
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