Sojourn-time Distribution of Virus Capsid in Interchromatin Corrals of a Cell Nucleus

Abstract

Virus capsids in interchromatin corrals of a cell nucleus are experimentally known to exhibit anomalous diffusion as well as normal diffusion, leading to the Gaussian distribution of the diffusion-exponent fluctuations over the corrals. Here, the sojourn-time distribution of the virus capsid in local areas of the corral, i.e., probability distribution of the sojourn time characterizing diffusion in the local areas, is examined.Such an area is regarded as a virtual cubic block, the diffusion property in which is normal or anomalous. The distribution, in which the Gaussian fluctuation is incorporated, is shown to tend to slowly decay. Then, the block-size dependence of average sojourn time is discussed. A comment is also made on (non-)Markovianity of the process of moving through the blocks.

Conditional Entropic Approach to Nonequilibrium Complex Systems with Weak Fluctuation Correlation

“…A discussion has been made about (non-)Markovianity of the diffusion process (see, e.g., Ref. [ 56 ] for a relevant issue) that takes into account the diffusion-exponent fluctuations, for which the case of virus capsids in cells is treated [ 57 ]. In this respect, a recent experimental result about virus capsids in Ref.…”