The Open Conference Proceedings Journal

2018, 9 : 1-7
Published online 2018 February 28. DOI: 10.2174/2210289201809010001
Publisher ID: TOPROCJ-9-1

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

Yuichi Itto, *

* 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.