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• W2170040945 abstract "We study the internal resonance, energy transfer, activation mechanism, and control of a model of DNA division via parametric resonance. While the system is robust to noise, this study shows that it is sensitive to specific fine scale modes and frequencies that could be targeted by low intensity electro-magnetic fields for triggering and controlling the division. The DNA model is a chain of pendula in a Morse potential. While the (possibly parametrically excited) system has a large number of degrees of freedom and a large number of intrinsic time scales, global and slow variables can be identified by (1) first reducing its dynamic to two modes exchanging energy between each other and (2) averaging the dynamic of the reduced system with respect to the phase of the fastest mode. Surprisingly, the global and slow dynamic of the system remains Hamiltonian (despite the parametric excitation) and the study of its associated effective potential shows how parametric excitation can turn the unstable open state into a stable one. Numerical experiments support the accuracy of the time-averaged reduced Hamiltonian in capturing the global and slow dynamic of the full system." @default.
• W2170040945 created "2016-06-24" @default.
• W2170040945 creator A5034000581 @default.
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• W2170040945 date "2013-02-14" @default.
• W2170040945 modified "2023-10-18" @default.
• W2170040945 title "Control of a model of DNA division via parametric resonance" @default.
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• W2170040945 doi "https://doi.org/10.1063/1.4790835" @default.
• W2170040945 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23556954" @default.
• W2170040945 hasPublicationYear "2013" @default.
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