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Solitons in a double pendulums chain model, and DNA roto-torsional dynamics

M. Cadoni·R. De Leo·G. Gaeta
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Abstract

It was first suggested by Englander et al to model the nonlinear dynamics of DNA relevant to the transcription process in terms of a chain of coupled pendulums. In a related paper [q-bio.BM/0604014] we argued for the advantages of an extension of this approach based on considering a chain of double pendulums with certain characteristics. Here we study a simplified model of this kind, focusing on its general features and nonlinear travelling wave excitations; in particular, we show that some of the degrees of freedom are actually slaved to others, allowing for an effective reduction of the relevant equations.

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M. Cadoni, R. De Leo, G. Gaeta. 2006-10-20. Solitons in a double pendulums chain model, and DNA roto-torsional dynamics. https://doi.org/10.2991/jnmp.2007.14.1.10

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