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A statistical approach to close packing of elastic rods and to DNA packaging in viral capsids

机译:封闭弹性杆包装和病毒衣壳中DNA包装的统计方法

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摘要

We propose a statistical approach for studying the close packing of elastic rods. This phenomenon belongs to the class of problems of confinement of low dimensional objects, such as DNA packaging in viral capsids. The method developed is based on Edwards' approach, which was successfully applied to polymer physics and to granular matter. We show that the confinement induces a configurational phase transition from a disordered (isotropic) phase to an ordered (nematic) phase. In each phase, we derive the pressure exerted by the rod (DNA) on the container (capsid) and the force necessary to inject (eject) the rod into (out of) the container. Finally, we discuss the relevance of the present results with respect to physical and biological problems. Regarding DNA packaging in viral capsids, these results establish the existence of ordered configurations, a hypothesis upon which previous calculations were built. They also show that such ordering can result from simple mechanical constraints.
机译:我们提出了一种统计方法来研究弹性杆的紧密堆积。这种现象属于低维物体封闭的问题类别,例如病毒衣壳中的DNA包装。开发的方法基于Edwards的方法,该方法已成功应用于聚合物物理学和颗粒物。我们表明,禁闭会引起从无序(各向同性)相到有序(向列)相的构型相变。在每个阶段,我们得出杆(DNA)在容器(衣壳)上施加的压力以及将杆注入(弹出)到容器(从容器中出来)所需的力。最后,我们讨论了有关物理和生物学问题的当前结果的相关性。关于病毒衣壳中的DNA包装,这些结果建立了有序构型的存在,即在此基础上进行先前计算的假设。他们还表明,这种排序可能源于简单的机械约束。

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