Deng Mingge, Karniadakis George Em
Division of Applied Mathematics, Brown University, Providence, RI 02912.
Multiscale Model Simul. 2014;12(1):109-118. doi: 10.1137/130921519.
We present a new (DENM) that describes the unfolding process of a force-loaded protein. The protein interaction network and its potentials are constructed based on information of its native-state structure obtained from the Protein Data Bank, with network nodes positioned at the coordinates of the protein backbone. Specifically, to mimic the unfolding process, i.e., to simulate the process of overcoming the local energy barrier on the free energy landscape with force loading, the noncovalent protein network bonds (i.e., hydrogen bonds, salt bridges, hydrophobic contacts, etc.) are broken one-by-one with a certain probability, while the strong covalent bonds along the backbone (i.e., peptide bonds, disulfide bonds, etc.) are kept intact. The jumping event from local energy minima (bonds breaking rate) are chosen according to Kramer's theory and the Bell model. Moreover, we exploit the self-similar structure of proteins at different scales to design an effective coarse-graining procedure for DENM with optimal parameter selection. The robustness of DENM is validated by coarse-grained molecular dynamics (MD) simulation against atomistic MD simulation of force-extension processes of the Fibrinogen and Titin Immunoglobulin proteins. We observe that the native structure of the proteins determines the unfolding dynamics (including large deviations) and not just the fluctuations around the native state.
我们提出了一种新的力驱动蛋白展开模型(DENM),该模型描述了受力作用的蛋白质的展开过程。蛋白质相互作用网络及其势能是基于从蛋白质数据库获得的其天然态结构信息构建的,网络节点位于蛋白质主链的坐标处。具体而言,为了模拟展开过程,即模拟在力加载下克服自由能景观上的局部能量障碍的过程,非共价蛋白质网络键(即氢键、盐桥、疏水接触等)以一定概率逐一断裂,而沿主链的强共价键(即肽键、二硫键等)保持完整。从局部能量极小值的跳跃事件(键断裂速率)根据克莱默理论和贝尔模型来选择。此外,我们利用蛋白质在不同尺度上的自相似结构,为DENM设计了一种有效的粗粒化程序并进行了最优参数选择。通过对纤维蛋白原和肌联蛋白免疫球蛋白的力-伸长过程进行粗粒化分子动力学(MD)模拟与原子尺度MD模拟对比,验证了DENM的稳健性。我们观察到,蛋白质的天然结构决定了展开动力学(包括大偏差),而不仅仅是围绕天然态的波动。