Dynamical characteristics of DNA kinks and antikinks

Yakushevich, L. V.; Ryasik, Artem Andreevich

doi:10.20537/2076-7633-2012-4-1-209-217

Cited by 6 publications

(1 citation statement)

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“…In the model considered in our paper, two different types of non-linear excitations can be found: high-energy kink solutions [33] and low-energy breather waves. The latter was considered in detail and compared with the results of the molecular-dynamics simulations in earlier work [20].…”

Section: Data Availability Statementmentioning

confidence: 99%

Coupled Schrödinger equations as a model of interchain torsional excitation transport in the DNA model

Kovaleva¹,

Manevitch²

2021

Phys. Scr.

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In this report we consider two weakly coupled Schrödinger equations as a model of interchain energy transport in the DNA double-helix. We employ a reduction of the Yakushevich-type model that considers the torsional dynamics of the DNA. In previous works, only small amplitude excitations and stationary dynamics were investigated, whereas we focus on the nonstationary dynamics of the double helix. In this report we consider two weakly coupled Schrödinger equations as a reduced model of interchain energy transport in the DNA double-helix torsional model. We employ a reduction of the Yakushevich-type model that considers the torsional dynamics of the DNA as effective chains of pendula. In previous works, only small amplitude excitations and stationary dynamics were investigated, whereas we focus on the nonstationary dynamics of the double helix. We consider the system to be a model of two weakly interacting DNA strands. Assuming that initially only one of the chains is excited in the form of a breather, we demonstrate the existence of an invariant that allows us to reduce the order of the problem and examine the system of the phase plane. The analysis demonstrates the utility of an analytical tool for predicting the periodic interchain excitation transitions of its localisation on one of the chains. The technique also takes into account the spreading of the excitations over time.

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Section: Data Availability Statementmentioning

confidence: 99%