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Time-dependent damping effect for the dynamics of DNA transcription
Rohmah S.F.a, Ramadhan I.A.a, Latifah S.a, Dwiputra D.a, Hidayat W.a,b, Zen F.P.a,b
a Theoretical Physics Laboratory, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
b Indonesian Center of Theoretical and Mathematical Physics (ICTMP), Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019 Published under licence by IOP Publishing Ltd.DNA is an interesting macromolecule to study because it plays a role in the body of living beings. This paper modified the Peyrard-Bishop (PB) DNA model by involving time-dependent damping. Damping on this model is considered a time-dependent perturbation. The dynamics of DNA transcription with time dependent damping effect is described by the damped nonlinear Schrodinger (DNLS) equation. Solution of the equation is obtained by applying variational method. So obtained the required parameters and done analysis using matlab. The simulation for the solution is done for nucleotide mass 5.1 × 10-25 kg, distance between base neighbor 3.4 × 10-10 m, elastic coefficient 8 N/m, depth of morse potential 0.1 eV, and width of morse potential 2 × 1010 m-1. This research showed a wave of soliton type of breather and spatial soliton. This paper also showed time-dependent damping causes changes in the amplitude and width of the DNA soliton wave.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]DNA transcriptions,DNLS,Elastic coefficient,Nonlinear schrodinger,Soliton waves,Spatial solitons,Time-dependent perturbation,Variational methods[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]DNLS,Dynamics of DNA,soliton wave,the variational method[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]S.F.R gratefully acknowledge support for LPDP. S.F.R also thanks to all members of Theoretical Physics Laboratory, Institut Teknologi Bandung for the hospitality and valuable support. F.P.Z would like to thanks to Kemenristek DIKTI for the financial support.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1088/1742-6596/1204/1/012012[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]