Department of Physics and Astronomy, California State University, Northridge, CA, USA.
J Phys Condens Matter. 2011 Mar 16;23(10):105101. doi: 10.1088/0953-8984/23/10/105101. Epub 2011 Feb 18.
Using a numerical simulation, we study the elastic features of biological assemblies (e.g. viruses and bacteria) and soft matter systems (e.g. colloidosomes and nanoparticle covered droplets) that possess a spherical shape in which the proteins (particles) on the colloidosomes or virus shells are mechanically linked to form a stress-bearing spherical structure that may dramatically enhance the surface rigidity. The dependence of the rigidity enhancement upon the density of the cross-linked proteins situated on the surface of the virus is explored. We determine the percolation threshold P(ce) by considering bond percolation on the spherical elastic networks involving nearest neighbor forces. The percolation threshold of such networks is very different from that of a two-dimensional triangular lattice due to the topological effect. We find that the threshold probability for the spherical elastic network is considerably smaller than for an unwrapped network, which reveals that the spherical topology induces more rigidity to the network.
我们使用数值模拟研究了具有球形的生物组装体（例如病毒和细菌）和软物质系统（例如胶体和纳米颗粒覆盖的液滴）的弹性特征，其中胶体或病毒壳上的蛋白质（颗粒）通过机械连接形成具有承载应力的球形结构，这可能显著提高表面硬度。我们研究了交联蛋白质的密度对病毒表面的刚性增强的依赖性。通过考虑涉及最近邻力的球形弹性网络上的键渗滤，我们确定了逾渗阈值 P(ce)。由于拓扑效应，这种网络的逾渗阈值与二维三角晶格的逾渗阈值非常不同。我们发现，球形弹性网络的阈值概率明显小于未展开网络的阈值概率，这表明球形拓扑结构使网络具有更高的硬度。
