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Tether-Length Dependence of Bias in Equilibrium Free-EnergyEstimates for Surface-to-Molecule Unbinding Experiments

机译:平衡自由能中的偏差的系绳长度依赖性估计的表面到分子的脱结合实验

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摘要

The capabilities of atomic force microscopes and optical tweezers to probe unfolding or surface-to-molecule bond rupture at a single-molecular level are widely appreciated. These measurements are typically carried out unidirectionally under nonequilibrium conditions. Jarzynski’s equality has proven useful to relate the work obtained along these nonequilibrium trajectories to the underlying free energy of the unfolding or unbinding process. Here, we quantify biases that arise from the molecular design of the bond rupture experiment for probing surface-to-molecule bonds. In particular, we probe the well-studied amine/gold bond as a function of the linker’s length which is used to anchor the specific amine functionality during a single molecule unbinding experiment. With increasing linker length, we observe a significant increase in the average work spent on polymer stretching and a strongly biased estimated interaction free energy. Our data demonstrate that free energy estimates converge well for linker lengths below 20 nm, where the bias is <10–15%. With longer linkers severe methodicallimits of the method are reached, and convergence within a reasonablenumber of realizations of the bond rupture is not feasible. Our resultsalso provide new insights into stability and work dissipation mechanismsat adhesive interfaces at the single-molecular level, and offer importantdesign and analysis aspects for single-molecular surface-to-moleculeexperiments.
机译:原子力显微镜和光学镊子在单分子水平上探测未折叠或表面-分子键断裂的能力已广受赞赏。这些测量通常在非平衡条件下单向执行。事实证明,Jarzynski的等式有助于将沿着这些非均衡轨迹获得的功与展开或解开过程的潜在自由能联系起来。在这里,我们量化了从探测分子间键的键断裂实验的分子设计中产生的偏差。特别是,我们研究了经过充分研究的胺/金键与连接子长度的关系,该连接子的长度可用于在单分子非结合实验中锚定特定的胺官能团。随着接头长度的增加,我们观察到在聚合物拉伸上花费的平均功显着增加,并且估计的相互作用自由能有很大的偏差。我们的数据表明,对于长度小于20 nm的连接子,其偏倚<10–15%,自由能估计值收敛良好。使用更长的连接子会导致系统性达到方法的极限,并在合理范围内收敛实现键断裂的数量是不可行的。我们的结果还提供了有关稳定性和工作分散机制的新见解在单分子水平的粘合剂界面上,并提供重要的单分子表面分子的设计和分析方面实验。

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