Jensen Christian H, Nerukh Dmitry, Glen Robert C
Department of Chemistry, Unilever Centre for Molecular Science Informatics, University of Cambridge, Cambridge CB2 1EW, United Kingdom.
J Chem Phys. 2008 Dec 14;129(22):225102. doi: 10.1063/1.3025888.
The dynamics of peptides and proteins generated by classical molecular dynamics (MD) is described by using a Markov model. The model is built by clustering the trajectory into conformational states and estimating transition probabilities between the states. Assuming that it is possible to influence the dynamics of the system by varying simulation parameters, we show how to use the Markov model to determine the parameter values that preserve the folded state of the protein and at the same time, reduce the folding time in the simulation. We investigate this by applying the method to two systems. The first system is an imaginary peptide described by given transition probabilities with a total folding time of 1 micros. We find that only small changes in the transition probabilities are needed to accelerate (or decelerate) the folding. This implies that folding times for slowly folding peptides and proteins calculated using MD cannot be meaningfully compared to experimental results. The second system is a four residue peptide valine-proline-alanine-leucine in water. We control the dynamics of the transitions by varying the temperature and the atom masses. The simulation results show that it is possible to find the combinations of parameter values that accelerate the dynamics and at the same time preserve the native state of the peptide. A method for accelerating larger systems without performing simulations for the whole folding process is outlined.
利用马尔可夫模型描述了由经典分子动力学(MD)生成的肽和蛋白质的动力学。该模型通过将轨迹聚类为构象状态并估计状态之间的转移概率来构建。假设可以通过改变模拟参数来影响系统的动力学,我们展示了如何使用马尔可夫模型来确定能够保持蛋白质折叠状态并同时减少模拟中折叠时间的参数值。我们通过将该方法应用于两个系统来对此进行研究。第一个系统是一个虚构的肽,其具有给定的转移概率,总折叠时间为1微秒。我们发现仅需对转移概率进行微小改变就能加速(或减速)折叠。这意味着使用MD计算的缓慢折叠肽和蛋白质的折叠时间无法与实验结果进行有意义的比较。第二个系统是水中的四残基肽缬氨酸 - 脯氨酸 - 丙氨酸 - 亮氨酸。我们通过改变温度和原子质量来控制转变的动力学。模拟结果表明,可以找到加速动力学并同时保持肽的天然状态的参数值组合。概述了一种在不针对整个折叠过程进行模拟的情况下加速更大系统的方法。