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Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed

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 v...

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Autores principales: Zhdanov, Vladimir P., Jackman, Joshua A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V. 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7282798/
https://www.ncbi.nlm.nih.gov/pubmed/32531420
http://dx.doi.org/10.1016/j.biosystems.2020.104184
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author Zhdanov, Vladimir P.
Jackman, Joshua A.
author_facet Zhdanov, Vladimir P.
Jackman, Joshua A.
author_sort Zhdanov, Vladimir P.
collection PubMed
description 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.
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spelling pubmed-72827982020-06-10 Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed Zhdanov, Vladimir P. Jackman, Joshua A. Biosystems Article 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. Elsevier B.V. 2020-10 2020-06-09 /pmc/articles/PMC7282798/ /pubmed/32531420 http://dx.doi.org/10.1016/j.biosystems.2020.104184 Text en © 2020 Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Zhdanov, Vladimir P.
Jackman, Joshua A.
Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title_full Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title_fullStr Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title_full_unstemmed Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title_short Analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
title_sort analysis of the initiation of viral infection under flow conditions with applications to transmission in feed
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7282798/
https://www.ncbi.nlm.nih.gov/pubmed/32531420
http://dx.doi.org/10.1016/j.biosystems.2020.104184
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