RESEARCH ARTICLE


Diffusion Theory for the Infection Pathway of Virus in a Living Cell



Yuichi Itto*
Science Division, Center for General Education, Aichi Institute of Technology, Aichi 470-0392, Japan


© 2018 Yuichi Itto.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Science Division, Center for General Education, Aichi Institute of Technology, Aichi 470-0392, Japan, Tel: +81+565-48-8121, Fax: +81+565-48-0277; E-mail: itto@aitech.ac.jp


Abstract

Background:

The infection pathway of virus in living cell is of interest from the viewpoint of the physics of diffusion.

Objective:

Here, recent developments about a diffusion theory for the infection pathway of an adeno-associated virus in cytoplasm of a living HeLa cell are reported.

Theories and Results:

Generalizing fractional kinetics successfully modeling anomalous diffusion, a theory for describing the infection pathway of the virus over the cytoplasm is presented. The statistical property of the fluctuations of the anomalous-diffusion exponent is also discussed based on a maximum-entropy-principle approach. In addition, an issue regarding the continuum limit of the entropy introduced in the approach is carefully examined. The theory is found to imply that the motion of the virus may obey a scaling law.

Keywords: Infection pathway of virus in living cell, Anomalous diffusion, Fractional kinetics, Exponent fluctuations, Time-scale separation, Maximum entropy principle, Scaling law.