SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study

In this research article, we establish a fractional-order mathematical model to explore the infections of the coronavirus disease (COVID-19) caused by the novel SARS-CoV-2 virus. We introduce a set of fractional differential equations taking uninfected epithelial cells, infected epithelial cells, SA...

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Autores principales: Chatterjee, Amar Nath, Basir, Fahad Al, Almuqrin, Muqrin A., Mondal, Jayanta, Khan, Ilyas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier B.V. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8139470/
https://www.ncbi.nlm.nih.gov/pubmed/34055582
http://dx.doi.org/10.1016/j.rinp.2021.104260
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author Chatterjee, Amar Nath
Basir, Fahad Al
Almuqrin, Muqrin A.
Mondal, Jayanta
Khan, Ilyas
author_facet Chatterjee, Amar Nath
Basir, Fahad Al
Almuqrin, Muqrin A.
Mondal, Jayanta
Khan, Ilyas
author_sort Chatterjee, Amar Nath
collection PubMed
description In this research article, we establish a fractional-order mathematical model to explore the infections of the coronavirus disease (COVID-19) caused by the novel SARS-CoV-2 virus. We introduce a set of fractional differential equations taking uninfected epithelial cells, infected epithelial cells, SARS-CoV-2 virus, and CTL response cell accounting for the lytic and non-lytic effects of immune responses. We also include the effect of a commonly used antiviral drug in COVID-19 treatment in an optimal control-theoretic approach. The stability of the equilibria of the fractional ordered system using qualitative theory. Numerical simulations are presented using an iterative scheme in Matlab in support of the analytical results.
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spelling pubmed-81394702021-05-24 SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study Chatterjee, Amar Nath Basir, Fahad Al Almuqrin, Muqrin A. Mondal, Jayanta Khan, Ilyas Results Phys Article In this research article, we establish a fractional-order mathematical model to explore the infections of the coronavirus disease (COVID-19) caused by the novel SARS-CoV-2 virus. We introduce a set of fractional differential equations taking uninfected epithelial cells, infected epithelial cells, SARS-CoV-2 virus, and CTL response cell accounting for the lytic and non-lytic effects of immune responses. We also include the effect of a commonly used antiviral drug in COVID-19 treatment in an optimal control-theoretic approach. The stability of the equilibria of the fractional ordered system using qualitative theory. Numerical simulations are presented using an iterative scheme in Matlab in support of the analytical results. Published by Elsevier B.V. 2021-07 2021-05-21 /pmc/articles/PMC8139470/ /pubmed/34055582 http://dx.doi.org/10.1016/j.rinp.2021.104260 Text en © 2021 Published by Elsevier B.V. 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
Chatterjee, Amar Nath
Basir, Fahad Al
Almuqrin, Muqrin A.
Mondal, Jayanta
Khan, Ilyas
SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title_full SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title_fullStr SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title_full_unstemmed SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title_short SARS-CoV-2 infection with lytic and non-lytic immune responses: A fractional order optimal control theoretical study
title_sort sars-cov-2 infection with lytic and non-lytic immune responses: a fractional order optimal control theoretical study
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8139470/
https://www.ncbi.nlm.nih.gov/pubmed/34055582
http://dx.doi.org/10.1016/j.rinp.2021.104260
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