@article{
 title = {Phase transition analysis of the dynamic instability of microtubules},
 type = {article},
 year = {2014},
 identifiers = {[object Object]},
 keywords = {bifurcation,diffusion,dynamic instability,microtubules,phase transition},
 id = {dfff1de7-dcb2-360d-9b53-d2779e2401a7},
 created = {2019-10-01T02:55:30.828Z},
 file_attached = {false},
 profile_id = {d8600050-807a-308a-bc20-15bcc721dbb4},
 last_modified = {2019-10-01T02:59:05.327Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {false},
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 abstract = {This paper provides the phase transition analysis of a reaction diffusion equations system modelling the dynamic instability of microtubules (MTs). For this purpose, we have generalized the macroscopic model studied by Mourão et al (2011 Comput. Biol. Chem. 35 269-81). This model investigates the interaction between the MT nucleation, the essential dynamics parameters and extinction, and their impact on the stability of the system. The considered framework encompasses a system of partial differential equations for the elongation and shortening of MTs, where the rates of elongation as well as the lifetimes of the elongating shortening phases are linear functions of GTP-tubulin concentration. In a novel way, this paper investigates the stability analysis and provides a bifurcation analysis for the dynamic instability of MTs in the presence of diffusion and all of the fundamental dynamics parameters. Our stability analysis introduces the phase transition method as a new mathematical tool in the study of MT dynamics. The mathematical tools introduced to handle the problem should be of general use. © 2014 IOP Publishing Ltd  &  London Mathematical Society.},
 bibtype = {article},
 author = {Yarahmadian, Shantia and Yari, Masoud},
 journal = {Nonlinearity}
}

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