Study of the dynamics of conformational perturbation in the DNA molecule of the Muto model
The dynamics of local conformational perturbations (LCP) in the DNA molecule is studied using the Muto model with the Toda potential and the Lennard-Jones potential using wavelet transform methods. The analysis of solutions to the equations of the homogeneous Muto model, carried out using numerical implementations of discrete and continuous wavelet transforms, leads to the conclusion about the emergence and propagation of local conformational perturbations along the chain of atoms of the DNA molecule, which can be considered as analogs of solitons in the Englander model, constructed on the basis of the sine-Gordon equation. Estimates of the propagation rate of LCP are obtained and an assessment of the algorithmic complexity of numerical implementations is carried out.
Keywords
DNA,
replication,
transcription,
the Muto model,
open state,
conformational perturbation,
soliton,
wavelet analysisAuthors
| Vologzhin Matvey A. | Tomsk State University | matvey.vologzhin@mail.ru |
| Krasnobaeva Larisa A. | Tomsk State University; Siberian State Medical University | kla1983@mail.ru |
| Shapovalov Alexander V. | Tomsk State University; Tomsk State University of Control Systems and Radioelectronics | shpv@mail.tsu.ru |
Всего: 3
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