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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Main Authors: Raj Kumar Arya, George D. Verros, Devyani Thapliyal
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Healthcare
Subjects:
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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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
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AT devyanithapliyal towardsamathematicalmodelfortheviralprogressioninthepharynx