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Vulnerability in Popular Molecular Dynamics Packages Concerning Langevin and Andersen Dynamics

机译:关于Langevin和Andersen动力学的流行分子动力学软件包中的漏洞

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摘要

We report a serious problem associated with a number of current implementations of Andersen and Langevin dynamics algorithms. When long simulations are run in many segments, it is sometimes possible to have a repeating sequence of pseudorandom numbers enter the calcuation. We show that, if the sequence repeats rapidly, the resulting artifacts can quickly denature biomolecules and are then easily detectable. However, if the sequence repeats less frequently, the artifacts become subtle and easily overlooked. We derive a formula for the underlying cause of artifacts in the case of the Langevin thermostat, and find it vanishes slowly as the inverse square root of the number of time steps per simulation segment. Numerous examples of simulation artifacts are presented, including dissociation of a tetrameric protein after 110 ns of dynamics, reductions in atomic fluctuations for a small protein in implicit solvent, altered thermodynamic properties of a box of water molecules, and changes in the transition free energies between dihedral angle conformations. Finally, in the case of strong thermocoupling, we link the observed artifacts to previous work in nonlinear dynamics and show that it is possible to drive a 20-residue, implicitly solvated protein into periodic trajectories if the thermostat is not used properly. Our findings should help other investigators re-evaluate simulations that may have been corrupted and obtain more accurate results.
机译:我们报告了与Andersen和Langevin动力学算法的许多当前实现相关的严重问题。当长时间模拟在许多段中运行时,有时可能需要将重复的伪随机数序列输入计算中。我们表明,如果序列快速重复,则产生的伪像会迅速使生物分子变性,然后易于检测。但是,如果序列重复的频率较低,则伪影会变得微妙并且容易被忽略。我们针对Langevin恒温器的情况推导了造成伪影的根本原因的公式,并发现该公式随着每个模拟段时间步数的平方根的倒数而逐渐消失。给出了许多模拟伪像的示例,包括动力学110 ns后四聚体蛋白质的解离,隐性溶剂中小蛋白质的原子波动减少,一盒水分子的热力学性质改变以及之间的跃迁自由能的变化。二面角构象。最后,在强热耦合的情况下,我们将观察到的伪影与非线性动力学中的先前工作联系起来,并表明,如果未正确使用恒温器,则有可能将20个残基的隐性溶剂化蛋白质驱动到周期性轨迹中。我们的发现应有助于其他研究者重新评估可能已损坏的仿真并获得更准确的结果。

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