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arXiv 2102.11446cond-mat.softphysics.comp-phq-bio.BM
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半柔性Polymer网络中的分段Lennard-Jones相互作用

Segmental Lennard-Jones Interactions for Semi-flexible Polymer Networks

Carlos Floyd, Aravind Chandrasekaran, Haoran Ni, Qin Ni, Garegin A. Papoian

摘要:

模拟细胞骨架等软物质系统可以使人们对实验观察到的现象有更深入的理解。模拟这种系统的一个挑战是附近聚合物之间的空间排斥的现实描述。以前的聚合物排斥体积相互作用模型的缺陷是非分析,计算昂贵,或允许聚合物错误地相互交叉。这些问题的一个最近的解决方案,在MEDYAN仿真平台中实现,使用从沿着两个聚合物链段的长度整合相互作用核获得的解析表达式来描述它们的排斥。在这里,我们通过重新推导它的低维几何配置,推导出类似的表达式,使用更陡峭的相互作用内核,将其与其他常用的潜力,并显示如何参数化这些模型来扩展该模型。我们还推广这种新的综合风格的潜力,通过引入一个节段的Lennard-Jones潜力,这使得半柔性聚合物网络中的吸引力和排斥力的相互作用建模。这些结果可以进一步推广,以促进其他有限元模拟软物质系统的有效相互作用势的发展。

英文摘要:

Simulating soft matter systems such as the cytoskeleton can enable deep understanding of experimentally observed phenomena. One challenge of modeling such systems is realistic description of the steric repulsion between nearby polymers. Previous models of the polymeric excluded volume interaction have the deficit of being non-analytic, being computationally expensive, or allowing polymers to erroneously cross each other. A recent solution to these issues, implemented in the MEDYAN simulation platform, uses analytical expressions obtained from integrating an interaction kernel along the lengths of two polymer segments to describe their repulsion. Here, we extend this model by re-deriving it for lower-dimensional geometrical configurations, deriving similar expressions using a steeper interaction kernel, comparing it to other commonly used potentials, and showing how to parameterize these models. We also generalize this new integrated style of potential by introducing a segmental Lennard-Jones potential, which enables modelling both attractive and repulsive interactions in semi-flexible polymer networks. These results can be further generalized to facilitate the development of effective interaction potentials for other finite elements in simulations of soft-matter systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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