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单个微管组装和解聚模型:随机方程和平均方程

Models of assembly and disassembly of individual microtubules: stochastic and averaged equations.

作者信息

Bolterauer H, Limbach H J, Tuszyński J A

机构信息

Institut für Theoretische Physik, Justus-Liebig Universität Gießen, Gießen, Germany.

出版信息

J Biol Phys. 1999 Mar;25(1):1-22. doi: 10.1023/A:1005159215657.

Abstract

In this paper we present solutions of the master equations for the microtubule length and show that the local probability for rescues or catastrophes can lead to bell-shaped length histograms. Conversely, as already known, non-local probabilities for these events result in exponential length histograms. We also derive master equations for a stabilizing cap and obtain a new boundary condition which provides an explanation of the results obtained in dilution and cutting experiments.

摘要

在本文中,我们给出了微管长度主方程的解,并表明救援或灾变的局部概率可导致钟形长度直方图。相反,如已知的那样,这些事件的非局部概率会导致指数长度直方图。我们还推导了稳定帽的主方程,并获得了一个新的边界条件,该条件解释了在稀释和切割实验中得到的结果。

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本文引用的文献

1
The microtubule lattice--20 years on.微管晶格——二十年之后
Trends Cell Biol. 1995 Feb;5(2):48-51. doi: 10.1016/s0962-8924(00)88938-2.
2
Stochastic dynamics of microtubules: A model for caps and catastrophes.微管的随机动力学:帽与灾变模型
Phys Rev Lett. 1994 Oct 24;73(17):2372-2375. doi: 10.1103/PhysRevLett.73.2372.
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A chemical kinetics model for microtubule oscillations.微管振荡的化学动力学模型。
J Theor Biol. 1999 Mar 7;197(1):77-88. doi: 10.1006/jtbi.1998.0861.
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Microtubule dynamics: Caps, catastrophes, and coupled hydrolysis.微管动力学:帽、灾变与耦合水解作用
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Nov;54(5):5538-5560. doi: 10.1103/physreve.54.5538.
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Collective oscillations in microtubule growth.微管生长中的集体振荡。
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Jun;53(6):6320-6324. doi: 10.1103/physreve.53.6320.
8
Dynamics of microtubules from erythrocyte marginal bands.红细胞边缘带微管的动力学
Mol Biol Cell. 1993 Mar;4(3):323-35. doi: 10.1091/mbc.4.3.323.

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