Dynamic instabilities in the kinetics of growth and disassembly of microtubules
نویسنده
چکیده
Dynamic instability of microtubules is considered using frameworks of non-linear thermodynamics and non-equilibrium reaction-diffusion systems. Stochastic assembly/disassembly phases in the polymerization dynamics of microtubules are treated as a result of collective clusterization of microdefects (holes in structure). The model explains experimentally observed power law dependence of catastrophe frequency from the microtubule growth rate. Additional reaction-diffusion-precipitation model is developed to account for kinetic limitations in microtubule dynamics. It is shown that large scale periodic microtubules length fluctuations are accompanied by concentration autowaves. We built corresponding parametric diagram mapping areas of stationary, non-stationary and metastable solutions. The loss of stability for the stationary solutions happens through bifurcation of Andronov-Hopf. Using parametric diagram we classify cytostatic effect of microtubule stabilizing drugs in four major classes and analyze their compatibility and possible synergistic effect for cancer treatment therapy.
منابع مشابه
Nanobiomechanical Properties of Microtubules
Microtubules, the active filaments with tubular shapes, play important roles in a wide range of cellular functions, including structural supports, mitosis, cytokinesis, and vesicular transport, which are essential for the growth and division of eukaryotic cells. Finding properties of microtubules is one of the main concerns of scientists. This work helps to obtain mechanical properties of m...
متن کاملThe Effect of the Crocus Sativus L. Carotenoid, Crocin, on the Polymerization of Microtubules, in Vitro
Objective(s): Crocin, as the main carotenoid of saffron, has shown anti-tumor activity both in vitro and in vivo. Crocin might interact with cellular proteins and modulate their functions, but the exact target of this carotenoid and the other compounds of the saffron have not been discovered yet. Microtubular proteins, as one of the most important proteins inside the cells, have several functio...
متن کاملDynamic Simulation and Mechanical Properties of Microtubules
This work is conducted to obtain mechanical properties of microtubule. For this aim, interaction energy in alpha-beta, beta-alpha, alpha-alpha, and beta-beta dimers was calculated using the molecular dynamic simulation. Force-distance diagrams for these dimers were obtained using the relation between potential energy and force. Afterwards, instead of each tubulin, one sphere with 55 KDa weight ...
متن کاملA simple formulation of microtubuie dynamics: quantitative implications
A simple formulation of microtubuie dynamic instability is presented, which is based on the experimental observations by T. Horio and H. Hotani of coexisting, interconverting growing and shrinking microtubules. Employing only three independent, experimentally determined parameters for a given microtubuie end, this treatment accounts quantitatively for the principal features of the observed dyna...
متن کاملTherapeutic potential of Paclitaxel against COVID-19
The coronavirus disease-2019(COVID-19) was reported in Wuhan, China, in late December 2019 and soon became the most serious global health challenge due to high rate of human-to-human transmission. The severe acute respiratory syndrome coronavirus 2(SARS-CoV-2), is a single-stranded RNA virus and belongs to the large Coronaviridae family. Paclitaxel, an antineoplastic drug extracted from the Tax...
متن کامل