Lois Gregg, Blawzdziewicz Jerzy, O'Hern Corey S
Areté Associates, P.O. Box 2607, Winnetka, California 91396, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 May;81(5 Pt 1):051907. doi: 10.1103/PhysRevE.81.051907. Epub 2010 May 6.
We perform simulations of model proteins to study folding on rugged energy landscapes. We construct "first-passage" networks as the system transitions from unfolded to native states. The nodes and bonds in these networks correspond to basins and transitions between them in the energy landscape. We find power-law relations between the folding time and the number of nodes and bonds. We show that these scalings are determined by the fractal properties of first-passage networks. Thus, we have identified a possible mechanism--the small fractal dimension of first passage networks--which can give rise to reliable folding in proteins with rugged energy landscapes.
我们对模型蛋白质进行模拟,以研究在崎岖能量景观上的折叠过程。当系统从未折叠状态转变为天然状态时,我们构建“首次通过”网络。这些网络中的节点和键对应于能量景观中的盆地及其之间的转变。我们发现折叠时间与节点和键的数量之间存在幂律关系。我们表明,这些标度由首次通过网络的分形特性决定。因此,我们确定了一种可能的机制——首次通过网络的小分形维数——它可以在具有崎岖能量景观的蛋白质中产生可靠的折叠。