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Energy Localization in the Peyrard-Bishop DNA model | | Jayme De Luca
; Elso Drigo Filho
; Antonio Ponno
; Jose Roberto Ruggiero
; | | Date: |
14 May 2004 | | Subject: | Pattern Formation and Solitons; Quantitative Methods | nlin.PS q-bio.QM | | Abstract: | We study energy localization on the oscillator-chain proposed by Peyrard and Bishop to model the DNA. We search numerically for conditions with initial energy in a small subgroup of consecutive oscillators of a finite chain and such that the oscillation amplitude is small outside this subgroup for a long timescale. We use a localization criterion based on the information entropy and we verify numerically that such localized excitations exist when the nonlinear dynamics of the subgroup oscillates with a frequency inside the reactive band of the linear chain. We predict a mimium value for the Morse parameter $(mu >2.25)$ (the only parameter of our normalized model), in agreement with the numerical calculations (an estimate for the biological value is $mu =6.3$). For supercritical masses, we use canonical perturbation theory to expand the frequencies of the subgroup and we calculate an energy threshold in agreement with the numerical calculations. | | Source: | arXiv, nlin.PS/0405039 | | Other source: | [GID 1054817] pmid15447571 | | Services: | Forum | Review | PDF | Favorites | |
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