arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0909.1831cond-mat.stat-mechcond-mat.soft
收藏

生物聚合物在高应力下的拉伸理论

Theory of biopolymer stretching at high forces

Ngo Minh Toan, D. Thirumalai

摘要:

我们提供了一个统一的理论的高力弹性的生物聚合物的持久性长度,$ξ_p$,和单体间距,$a$。当力$f>\fh \sim k_BTξ_p/a^2$时,生物聚合物表现为自由连接链(FJC),而在$\fl \sim k_BT/ξ_p < f < \fh$范围内,蠕虫状链(WLC)是更好的模型。我们表明,$ξ_p$可以估计从力延伸曲线(FEC)在延长$x\approx 1/2$(归一化的轮廓长度的生物聚合物)。在使用模拟验证理论之后,我们提供了$x \ge 1/2$的不同生物聚合物(dsDNA、ssRNA、ssDNA、多糖和肌联蛋白的非结构化PEVK结构域)的FEC的定量分析。一个特定的聚合物模型(FJC或WLC)来描述一个给定的生物聚合物的FEC的成功是自然的理论解释。只有通过探测生物聚合物在大范围力下的响应,才能充分描述$f$依赖的弹性。

英文摘要:

We provide a unified theory for the high force elasticity of biopolymers solely in terms of the persistence length, $ξ_p$, and the monomer spacing, $a$. When the force $f>\fh \sim k_BTξ_p/a^2$ the biopolymers behave as Freely Jointed Chains (FJCs) while in the range $\fl \sim k_BT/ξ_p < f < \fh$ the Worm-like Chain (WLC) is a better model. We show that $ξ_p$ can be estimated from the force extension curve (FEC) at the extension $x\approx 1/2$ (normalized by the contour length of the biopolymer). After validating the theory using simulations, we provide a quantitative analysis of the FECs for a diverse set of biopolymers (dsDNA, ssRNA, ssDNA, polysaccharides, and unstructured PEVK domain of titin) for $x \ge 1/2$. The success of a specific polymer model (FJC or WLC) to describe the FEC of a given biopolymer is naturally explained by the theory. Only by probing the response of biopolymers over a wide range of forces can the $f$-dependent elasticity be fully described.

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。

↑