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 the present work, we deal with nonlinear dynamics of microtubules. A new model,
describing nonlinear dynamics of microtubules, is introduced. Its advantages over two …

In this paper, we report the propensity to excitability of the internal structure of cellular
microtubules, modelled as a relatively large one-dimensional spatial array of electrical units …

Cilia and flagella are cell organelles serving basic roles in cellular motility. Ciliary movement
is performed by a sweeping-like repeated bending motion, which gives rise to a self …

To adapt to changing environments cells must signal and signaling requires messengers
whose concentration varies with time in space. We here consider the messenger role of …

Abstract Calcium ions (Ca 2+) tune and control numerous diverse aspects of cochlear and
vestibular physiological processes. This paper is focused on the Ca 2+ control of …

Microtubules are the major part of the cytoskeleton. They are involved in nuclear and cell
division and serve as a network for motor proteins. The first model that describes nonlinear …

The cytoskeleton of cilia and flagella is so called axoneme a stable cylindrical architecture of
nine microtubule doublets. Axoneme performs periodic bending motion by utilizing specific …

Actin is the most abundant protein in eukaryotic cells. It is highly evolutionary conserved and
takes part in more protein–protein interactions than any other known protein. These …

Calcium plays a key role in signal transduction in eukaryotic cells. Besides controlling local
functions of cells calcium ions are responsible for the generation of global signals such as …