Microtubules (MTs) play roles in regulating the mechanical structure and dynamics of cells.
While MTs appear to be highly ordered structures, recent data suggest some randomness in …

In this study, we investigate the propagation of discrete breathers under the influence of intra-
dimer coupling coefficients. We establish propagation zones of the modulated waves and …

In this article, we have investigated the presence of breather-like excitation on the
microtubulin protofilament lattices of a nonlinear discrete differential equation and applied …

In the present work, we study the nonlinear dynamics of microtubules, the basic components
of the eukaryotic cytoskeleton. We introduce a two-component model describing tangential …

We here present a model of nonlinear dynamics of microtubules using modified extended
tanh-function method as a mathematical tool. Interaction between neighbouring dimers …

In the present paper we deal with nonlinear dynamics of microtubules. The structure and
role of microtubules in cells are explained as well as one of models explaining their …

We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard–Bishop
model. We look for traveling wave solutions and show that a continuum approximation …

In the present work, we focus on the longitudinal model of microtubules (MTs) proposed by
Satarić et al.(1993)[12], and that considers MT cells to have ferroelectric properties …

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 …

This work represents a contribution to modelling nonlinear dynamics of microtubules, the
basic components of the eukaryotic cytoskeleton. Their dynamics can be explained in terms …