Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 318, Issue -, Pages 70-83Publisher
ELSEVIER
DOI: 10.1016/j.physd.2015.10.005
Keywords
Constriction ring; Continuum model; Myosin contraction
Categories
Funding
- Austrian Science Fund (FWF) fellowship [J3463-N25]
- NIH [GM068952]
- Austrian Science Fund (FWF) [J3463] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [J 3463] Funding Source: researchfish
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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.
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