Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625794 | Applied Mathematics and Computation | 2016 | 12 Pages |
Abstract
We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi-discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Slobodan Zdravković, Slobodan Zeković, Aleksandr N. Bugay, Miljko V. Satarić,