TIME-DEPENDENT DAMPING EFFECT FOR THE DYNAMICS OF DNA TRANSCRIPTION

• Main Author: FERDIANTI ROHMAH (NIM: 20215019), SUSAN
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/24427
• Institution: Institut Teknologi Bandung

DNA is an interesting macromolecule to study because it plays a role in the body of living beings. This research modified the Peyrard-Bishop (PB) DNA model by involving time-dependent damping. Damping on this model is considered a timedependent 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 (m) is 5,1 x 10-25 kg, distance between base neighbor ( l ) is 3,4 x 10-10 m, elastic coefficient (K) is 8 N/m, depth of morse potential (D) is 0,1 eV, width of morse potential (α) is 2 x 1010 m-1, the velocity of carier wave (uc) is 4 x 104 m/s, and the velocity of envelope wave (ue) is 1 x 105 m/s. This research showed a wave of soliton type of breather and spatial soliton. This research also showed time-dependent damping causes changes in the amplitude and width of the DNA soliton wave.