Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
Artikel i vetenskaplig tidskrift, 2020

While kinetic models are widely used to describe viral infection at various levels, most of them are focused on temporal aspects and understanding of corresponding spatio-temporal aspects remains limited. In this work, our attention is focused on the initial stage of infection of immobile cells by virus particles (“virions”) under flow conditions with diffusion. A practical example of this scenario occurs when humans or animals consume food from virion-containing sources. Mathematically, such situations can be described by using a model constructed in analogy with those employed in chemical engineering for analysis of the function of a plug-flow reactor with dispersion. As in the temporal case, the corresponding spatio-temporal model predicts either the transition to a steady state or exponential growth of the populations of virions and infected cells. The spatial distributions of these species are similar in both of these regimes. In particular, the maximums of the populations are shifted to the upper boundary of the infected region. The results illustrating these conclusions were obtained analytically and by employing numerical calculations without and with the dependence of the kinetic parameters on the coordinate. The model proposed has also been used in order to illustrate the effect of antiviral feed additives on feedborne infection towards curbing disease transmission.

Infection

Flow

Kinetic models

Growth

Diffusion

Viruses

Författare

Vladimir Zhdanov

Chalmers, Fysik, Biologisk fysik

Russian Academy of Sciences

J. Jackman

Sungkyunkwan University

BioSystems

0303-2647 (ISSN)

Vol. 196 104184

Ämneskategorier

Infektionsmedicin

Annan fysik

Strömningsmekanik och akustik

DOI

10.1016/j.biosystems.2020.104184

PubMed

32531420

Mer information

Senast uppdaterat

2020-08-20