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可逆交联生物聚合物束的弹塑性响应

Elasto-plastic response of reversibly crosslinked biopolymer bundles.

作者信息

Sadhukhan Poulomi, Schumann Ole, Heussinger Claus

机构信息

Institute for Theoretical Physics, Georg-August University of Göttingen, Friedrich-Hund Platz 1, 37077, Göttingen, Germany,

出版信息

Eur Phys J E Soft Matter. 2014 Jun;37(6):14. doi: 10.1140/epje/i2014-14058-5. Epub 2014 Jun 27.

DOI:10.1140/epje/i2014-14058-5
PMID:24965158
Abstract

We study the response of F-actin bundles to driving forces through a simple analytical model. We consider two filaments connected by reversibly bound crosslinks and driven by an external force. Two failure modes under load can be defined. Brittle failure is observed when crosslinks suddenly and collectively unbind, leading to catastrophic loss of bundle integrity. During ductile failure, on the other hand, bundle integrity is maintained, however at the cost of crosslink reorganization and defect formation. We present phase diagrams for the onset of failure, highlighting the importance of the crosslink stiffness for these processes. Crossing the phase boundaries, force-deflection curves display (frequency-dependent) hysteresis loops, reflecting the first-order character of the failure processes. We evidence how the introduction of defects can lead to complex elasto-plastic relaxation processes, once the force is switched off. Depending on, both the time-scale for defect motion and the crosslink stiffness, bundles can remain in a quasi-permanent plastically deformed state for a very long time.

摘要

我们通过一个简单的分析模型来研究F-肌动蛋白束对驱动力的响应。我们考虑由可逆结合的交联点连接并由外力驱动的两根细丝。可以定义负载下的两种失效模式。当交联点突然集体解离时,会观察到脆性失效,导致束的完整性灾难性丧失。另一方面,在韧性失效期间,束的完整性得以维持,但代价是交联点的重新组织和缺陷形成。我们给出了失效起始的相图,突出了交联刚度在这些过程中的重要性。越过相界时,力-挠度曲线显示出(频率相关的)滞后回线,反映了失效过程的一级特性。我们证明了一旦力被关闭,缺陷的引入如何导致复杂的弹塑性松弛过程。根据缺陷运动的时间尺度和交联刚度,束可以在很长一段时间内保持准永久的塑性变形状态。

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Elasto-plastic response of reversibly crosslinked biopolymer bundles.可逆交联生物聚合物束的弹塑性响应
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引用本文的文献

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Semiflexible Biopolymers in Bundled Arrangements.呈束状排列的半柔性生物聚合物。
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本文引用的文献

1
Cross-linked biopolymer bundles: cross-link reversibility leads to cooperative binding/unbinding phenomena.交联生物聚合物束:交联可逆性导致协同结合/解缚现象。
J Chem Phys. 2012 Jan 21;136(3):035102. doi: 10.1063/1.3675832.
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Theory of crosslinked bundles of helical filaments: intrinsic torques in self-limiting biopolymer assemblies.交联螺旋丝束理论:自限生物聚合物组装体中的固有扭矩。
J Chem Phys. 2011 Jul 21;135(3):035104. doi: 10.1063/1.3610431.
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Cooperative crosslink (un)binding in slowly driven bundles of semiflexible filaments.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 1):050902. doi: 10.1103/PhysRevE.83.050902. Epub 2011 May 10.
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Transiently crosslinked F-actin bundles.瞬态交联的 F-肌动蛋白束。
Eur Biophys J. 2011 Jan;40(1):93-101. doi: 10.1007/s00249-010-0621-z. Epub 2010 Aug 24.
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Cooperativity and frustration in protein-mediated parallel actin bundles.蛋白质介导的平行肌动蛋白束中的协同作用和缠结。
Phys Rev Lett. 2009 Dec 4;103(23):238102. doi: 10.1103/PhysRevLett.103.238102. Epub 2009 Nov 30.
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Statics and dynamics of the wormlike bundle model.蠕虫状束模型的静力学与动力学
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 1):021904. doi: 10.1103/PhysRevE.81.021904. Epub 2010 Feb 3.
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Braided bundles and compact coils: the structure and thermodynamics of hexagonally packed chiral filament assemblies.编织束和紧密线圈:六方堆积手性细丝组装体的结构与热力学
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Apr;79(4 Pt 1):041919. doi: 10.1103/PhysRevE.79.041919. Epub 2009 Apr 21.
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Helical twist controls the thickness of F-actin bundles.螺旋扭曲控制着F-肌动蛋白束的厚度。
Proc Natl Acad Sci U S A. 2008 Jul 1;105(26):8819-22. doi: 10.1073/pnas.0711149105. Epub 2008 Jun 25.
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The chirality of ciliary beats.纤毛摆动的手性
Phys Biol. 2008 Mar 19;5(1):016003. doi: 10.1088/1478-3975/5/1/016003.
10
Cytoskeletal bundle mechanics.细胞骨架束力学
Biophys J. 2008 Apr 15;94(8):2955-64. doi: 10.1529/biophysj.107.119743. Epub 2007 Nov 30.