Fractional formalism to DNA chain and impact of the fractional order on breather dynamics.

Mvogo, Alain; Kofané, Timoléon Crépin

Mvogo, Alain; Kofané, Timoléon Crépin.

Afiliación

Mvogo A; Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.
Kofané TC; Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.

Chaos ; 26(12): 123120, 2016 Dec.

Article en En | MEDLINE | ID: mdl-28039966

RESUMEN

We have investigated the impact of the fractional order derivative on the dynamics of modulated waves of a homogeneous DNA chain that is based on site-dependent finite stacking and pairing enthalpies. We have reformulated the classical Lagrangian of the system by including the coordinates depending on the Riemann-Liouville time derivative of fractional order Î³. From the Lagrange equation, we derived the fractional nonlinear equation of motion. We obtained the fractional breather as solutions by means of a fractional perturbation technique. The impact of the fractional order is investigated and we showed that depending on the values of Î³, there are three types of waves that propagate in DNA. We have static breathers, breathers of small amplitude and high velocity, and breathers of high amplitude and small velocity.

Asunto(s)

ADN/análisis; Movimiento (Física); Dinámicas no Lineales; Termodinámica

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: ADN Idioma: En Revista: Chaos Asunto de la revista: CIENCIA Año: 2016 Tipo del documento: Article País de afiliación: Camerún Pais de publicación: Estados Unidos

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