Morozov Alexander Yu, Bruinsma Robijn F
Department of Physics and Astronomy, University of California-Los Angeles, Los Angeles, California 90024, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Apr;81(4 Pt 1):041925. doi: 10.1103/PhysRevE.81.041925. Epub 2010 Apr 30.
Icosahedral viral shells are characterized by intrinsic elastic stress focused on the 12 structurally required pentamers. We show that, according to thin-shell theory, assembling icosahedral viral shells should be subject to the Asaro-Grinfeld-Tiller instability (AGTI). AGTIs are encountered in growing epitaxial films exposed to extrinsic elastic stress. For viral shells, the AGTI relieves intrinsic elastic stresses by generating corrugation along the perimeter of the assembling shell. The buckling transition of Lidmar, Mirny, and Nelson provides an alternative mechanism for stress release, which in principle would allow for avoidance of AGTIs. For system parameters appropriate for viral shells however, the AGTI appears to be unavoidable. The azimuthal stress condensation produced by the AGTI might actually assist assembly by providing a guiding mechanism for the insertion of pentamers during viral assembly.
二十面体病毒衣壳的特征在于内在弹性应力集中在12个结构所需的五聚体上。我们表明，根据薄壳理论，组装二十面体病毒衣壳应会受到阿萨罗 - 格林菲尔德 - 蒂勒不稳定性（AGTI）的影响。AGTI在承受外在弹性应力的生长外延膜中会出现。对于病毒衣壳而言，AGTI通过在组装衣壳的周边产生波纹来缓解内在弹性应力。利德马尔、米尔尼和纳尔逊的屈曲转变提供了一种应力释放的替代机制，原则上这将允许避免AGTI。然而，对于适合病毒衣壳的系统参数，AGTI似乎是不可避免的。AGTI产生的方位角应力凝聚实际上可能通过为病毒组装过程中五聚体的插入提供一种引导机制来协助组装。
