32 citations · 32 across the 5 of their papers we have counts for
5 papers
Microtubules: dynamics, soliton waves, some roles in the cell
Slobodan Zdravković
In the present paper we deal with nonlinear dynamics of microtubules (MTs). The structure and role of MTs in cells are explained. One model explaining MT dynamics is explained. Sol…
Stability analysis of solutions in the helicoidal Peyrard-Bishop model of DNA molecule
Anna Batova, Dragana Ranković, Slobodan Zdravković
We use the helicoidal Peyrard-Bishop model of DNA in the current work. We solve a dynamical equation of motion using a continuum approximation, resulting in kink-solitary waves tha…
Tangential Model of Microtubules
Slobodan Zdravković, Slobodan Zeković
Microtubules (MTs) represent basic components of a cytoskeleton. The present work studies nonlinear dynamics of MTs assuming tangential oscillations of the dimers. We introduce a t…
W-potentials in nonlinear biophysics of microtubules
Slobodan Zdravković, Dragana Ranković
In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, and rely on the known general model. A crucial in…
Nonlinear dynamics of microtubules - A new model
Slobodan Zdravković, Miljko V. Satarić, Slobodan Zeković
In the present paper we describe a model of nonlinear dynamics of microtubules (MT) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displ…