Speaker
Description
Nonlinear dynamics of two biomolecules is studied. These are a microtubule (MT) and DNA molecule [1,2]. Two mathematical procedures are explained, yielding to three kinds of solitary waves moving through the systems. These waves are modulated solitary waves called breathers, kinks, and bell-type solitons. Regarding DNA, it is shown that a demodulated standing soliton could be crucial for the DNA-RNA transcription [3]. Finally, it is shown that the subsonic waves are stable in MTs, while supersonic ones are not [4].
References
[1] S. Zdravković, Nonlinear Dynamics of DNA Chain, in Nonlinear Dynamics of Nanobiophysics, edited by S. Zdravković and D. Čevizović, Springer, 2022, 29-66.
[2] S. Zdravković, Nonlinear Dynamics of Microtubules, in Nonlinear Dynamics of Nanobiophysics, edited by S. Zdravković and D. Čevizović, Springer, 2022, 263-306.
[3] S. Zdravković, M.V. Satarić, A.Yu. Parkhomenko, and A.N. Bugay, Demodulated standing solitary wave and DNA-RNA transcription, Chaos 28, 113103 (2018)
[4] D. Ranković and S. Zdravković, Two component model of microtubules – subsonic and supersonic solitary waves, Chaos Soliton Fract. 164, 112693 (2022)
