Towards a Mathematical Model for the Viral Progression in the Pharynx
In this work, a comprehensive model for the viral progression in the pharynx has been developed. This one-dimension model considers both Fickian diffusion and convective flow coupled with chemical reactions, such as virus population growth, infected and uninfected cell accumulation as well as virus...
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MDPI AG
2021-12-01
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Series: | Healthcare |
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Online Access: | https://www.mdpi.com/2227-9032/9/12/1766 |
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author | Raj Kumar Arya George D. Verros Devyani Thapliyal |
author_facet | Raj Kumar Arya George D. Verros Devyani Thapliyal |
author_sort | Raj Kumar Arya |
collection | DOAJ |
description | In this work, a comprehensive model for the viral progression in the pharynx has been developed. This one-dimension model considers both Fickian diffusion and convective flow coupled with chemical reactions, such as virus population growth, infected and uninfected cell accumulation as well as virus clearance. The effect of a sterilizing agent such as an alcoholic solution on the viral progression in the pharynx was taken into account and a parametric analysis for the effect of kinetic rate parameters on virus propagation was made. Moreover, different conditions caused by further medical treatment, such as a decrease in virus yield per infected cell, were examined. It is shown that the infection fails to establish by decreasing the virus yield per infected cell. It is believed that this work could be used to further investigate the medical treatment of viral progression in the pharynx. |
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format | Article |
id | doaj.art-fe33a7675cd44cab947ff3d4ea65b3bf |
institution | Directory Open Access Journal |
issn | 2227-9032 |
language | English |
last_indexed | 2024-03-10T04:01:01Z |
publishDate | 2021-12-01 |
publisher | MDPI AG |
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series | Healthcare |
spelling | doaj.art-fe33a7675cd44cab947ff3d4ea65b3bf2023-11-23T08:35:22ZengMDPI AGHealthcare2227-90322021-12-01912176610.3390/healthcare9121766Towards a Mathematical Model for the Viral Progression in the PharynxRaj Kumar Arya0George D. Verros1Devyani Thapliyal2Department of Chemical Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar 144011, IndiaLaboratory of Polymer and Colour Chemistry and Technology, Department of Chemistry, Aristotle University of Thessaloniki (AUTH), P.O. Box 454, Plagiari, Epanomi, 57500 Thessaloniki, GreeceDepartment of Chemical Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar 144011, IndiaIn this work, a comprehensive model for the viral progression in the pharynx has been developed. This one-dimension model considers both Fickian diffusion and convective flow coupled with chemical reactions, such as virus population growth, infected and uninfected cell accumulation as well as virus clearance. The effect of a sterilizing agent such as an alcoholic solution on the viral progression in the pharynx was taken into account and a parametric analysis for the effect of kinetic rate parameters on virus propagation was made. Moreover, different conditions caused by further medical treatment, such as a decrease in virus yield per infected cell, were examined. It is shown that the infection fails to establish by decreasing the virus yield per infected cell. It is believed that this work could be used to further investigate the medical treatment of viral progression in the pharynx.https://www.mdpi.com/2227-9032/9/12/1766mathematical modelingsimulationdiffusionpharynxvirus |
spellingShingle | Raj Kumar Arya George D. Verros Devyani Thapliyal Towards a Mathematical Model for the Viral Progression in the Pharynx Healthcare mathematical modeling simulation diffusion pharynx virus |
title | Towards a Mathematical Model for the Viral Progression in the Pharynx |
title_full | Towards a Mathematical Model for the Viral Progression in the Pharynx |
title_fullStr | Towards a Mathematical Model for the Viral Progression in the Pharynx |
title_full_unstemmed | Towards a Mathematical Model for the Viral Progression in the Pharynx |
title_short | Towards a Mathematical Model for the Viral Progression in the Pharynx |
title_sort | towards a mathematical model for the viral progression in the pharynx |
topic | mathematical modeling simulation diffusion pharynx virus |
url | https://www.mdpi.com/2227-9032/9/12/1766 |
work_keys_str_mv | AT rajkumararya towardsamathematicalmodelfortheviralprogressioninthepharynx AT georgedverros towardsamathematicalmodelfortheviralprogressioninthepharynx AT devyanithapliyal towardsamathematicalmodelfortheviralprogressioninthepharynx |