Microtubules: a network for solitary waves

Slobodan Zdravkovic

Abstract


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 dynamics. Solutions of the crucial nonlinear differential equation depend on used mathematical methods. Two commonly used procedures, continuum and semi-discrete approximations, are explained. These solutions are solitary waves usually called as kink solitons, breathers and bell-type solitons.


Keywords


molecular motors; non-linear dynamics; solitons; non-linear differential equations

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DOI: http://dx.doi.org/10.2298/JSC161118020Z

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