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Are microtubules discrete or continuum systems?
(Applied Mathematics and Computation, 2014)
In this paper we study nonlinear dynamics of microtubules (MTs) relying on so-called u-model. A crucial discrete differential equation is transformed into a partial differential equation using a continuum approximation. ...
Calcium ions tune the beats of cilia and flagella
(Biosystems, 2020)
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 dynein motor family powered by ATP ...
Calcium messages in flagella are faster than messenger particles
(Biosystems, 2023)
Calcium is one of the most versatile messengers for intracellular signaling. In the case of cilia and flagella calcium has the central role in transfer of communications between extracellular stimuli and intracellular ...
Three kinds of W-potentials in nonlinear biophysics of microtubules
(Chaos, Solitons and Fractals, 2023)
In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, relying on the known general model. We introduce the W-potential energy, describing a crucial ...