57 citations · 57 across the 5 of their papers we have counts for
5 papers
Two-component model of a microtubule in a semi-discrete approximation
Slobodan Zdravković, Aleksandr N. Bugay, Slobodan Zeković +2
In the present work, we study the nonlinear dynamics of a microtubule, an important part of the cytoskeleton. We use a two-component model of the relevant system. A crucial nonline…
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…
Applications of the series expansion unknown functions method in nonlinear dynamics of microtubules
S. Zdravković, S. Zeković
Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing no…
Employment of Jacobian elliptic functions for solving problems in nonlinear dynamics of microtubules
Slobodan Zeković, Annamalai Muniyappan, Slobodan Zdravković +1
We show how Jacobian elliptic functions (JEF) can be used to solve ordinary differential equations (ODE) describing nonlinear dynamics of microtubules (MT). We demonstrate that onl…
Modified extended tanh-function method and nonlinear dynamics of microtubules
Slobodan Zdravković, Louis Kavitha, Miljko V. Satarić +2
We here present a model of nonlinear dynamics of microtubules (MT) in the context of modified extended tanh-function (METHF) method. We rely on the ferroelectric model of MTs publi…