Microtubules: dynamics, soliton waves, some roles in the cell

Slobodan Zdravković

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arXiv · 2501.10614

Microtubules: dynamics, soliton waves, some roles in the cell

Slobodan Zdravković

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Abstract

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. Solutions of the crucial nonlinear differential equation depend on used mathematical procedures. Two of them, continuum and semi-discrete approximations, are explained. Finally, these solutions are shown and discussed. They are solitonic waves. Three different kinds of them are known in the moment. They are kink solitons, breathers and bell-type solitons.

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Slobodan Zdravković. 2025-01-18. Microtubules: dynamics, soliton waves, some roles in the cell. https://arxiv.org/abs/2501.10614

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