A review of recent studies on nonlinear dynamics of microtubules and DNA
Slobodan Zdravkovi\'c
TL;DR
This paper reviews recent research on the nonlinear dynamic behaviors of microtubules and DNA, focusing on mathematical models that reveal various solitary wave solutions such as kinks, breathers, and solitons.
Contribution
It synthesizes recent studies and explains mathematical procedures leading to the identification of different solitary wave types in biomolecular systems.
Findings
Identification of three types of solitary waves in biomolecules
Mathematical procedures for modeling nonlinear dynamics
Insights into wave propagation in microtubules and DNA
Abstract
Nonlinear dynamics of two biomolecules is studied. These are a microtubule and DNA molecule. Two mathematical procedures are explained, yielding to three kinds of solitary waves moving through the systems. These waves are kinks, modulated solitary waves called breathers and bell-type solitons.
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Taxonomy
TopicsNonlinear Photonic Systems · Microtubule and mitosis dynamics · Nonlinear Dynamics and Pattern Formation