Actomyosin contraction, aggregation and traveling waves in a treadmilling actin array

被引:7
作者
Oelz, Dietmar [1 ]
Mogilner, Alex [1 ,2 ]
机构
[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
[2] NYU, Dept Biol, 550 1St Ave, New York, NY 10012 USA
基金
奥地利科学基金会;
关键词
Constriction ring; Continuum model; Myosin contraction; MYOSIN-II; PAR PROTEINS; RING; MECHANISM; POLYMERIZATION; CONSTRICTION; CYTOKINESIS; FORCE; MODEL;
D O I
10.1016/j.physd.2015.10.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use perturbation theory to derive a continuum model for the dynamic actomyosin bundle/ring in the regime of very strong crosslinking. Actin treadmilling is essential for contraction. Linear stability analysis and numerical solutions of the model equations reveal that when the actin treadmilling is very slow, actin and myosin aggregate into equidistantly spaced peaks. When treadmilling is significant, actin filament of one polarity are distributed evenly, while filaments of the opposite polarity develop a shock wave moving with the treadmilling velocity. Myosin aggregates into a sharp peak surfing the crest of the actin wave. Any actomyosin aggregation diminishes contractile stress. The easiest way to maintain higher contraction is to upregulate the actomyosin turnover which destabilizes nontrivial patterns and stabilizes the homogeneous actomyosin distributions. We discuss the model's implications for the experiment. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:70 / 83
页数:14
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