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Impact of helicoidal interactions and weak damping on the breathing modes of Joyeux-Buyukdagli model of DNA

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Abstract

The damped nonlinear Schr\(\ddot{o}\)dinger equation is derived from the helicoidal Joyeux and Buyukdagli model of DNA, in which the particles of the surrounding solvent medium induces a weak viscosity. This is achieved by using a perturbation technique known as the multiple scale expansion in the semi-discrete approximation. The solitary wave solution of the amplitude equation depict breathing pulses, known for the initiation of the DNA transcription and replication processes. An increase in damping is shown to rapidly switch the exponential growth rate of the weak continuous wave perturbations to oscillatory behavior, within the frame work of modulational instability analysis. This is physically depicted as a decrease in the amplitude and corresponding broadening of the breathing modes during propagation along the DNA chain. Numerical simulations shows that the breathing pulses are quite robust entities, because they emerge unchanged after collision. It equally underscores the qualitative and quantitative influence of the helicoidal and damping parameters, on the biological processes inherent in the DNA dynamics.

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Acknowledgments

The authors appreciate the enriching discussions on the dynamics of DNA molecular chain, with students of Physics department, HTTC Bambili.

Funding

The authors acknowledge the grants and support of the Cameroon Ministry of Higher Education, through the initiative for the modernization of research in Higher Education.

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Authors and Affiliations

  1. Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P. O. Box 39, Bambili, Cameroon

    Nkeh Oma Nfor & Serge Bruno Yamgoué

  2. Department of Physics, Faculty of Science Bambili, The University of Bamenda, P. O. Box 39, Bambili, Cameroon

    Djine Arnaud

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  1. Nkeh Oma Nfor
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  2. Djine Arnaud
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  3. Serge Bruno Yamgoué
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Correspondence to Nkeh Oma Nfor.

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This study was approved by the Scientific Committee of the Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P. O. Box 39, Bambili-Cameroon.

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No informed concerned because experimental data were used, with the sources properly cited.

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Nfor, N.O., Arnaud, D. & Yamgoué, S.B. Impact of helicoidal interactions and weak damping on the breathing modes of Joyeux-Buyukdagli model of DNA. Indian J Phys 97, 2339–2353 (2023). https://doi.org/10.1007/s12648-023-02610-5

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  • DOI: https://doi.org/10.1007/s12648-023-02610-5

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