Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Remat (Bento Gonçalves) |
Texto Completo: | https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6289 |
Resumo: | COVID-19 is an infectious disease caused by the SARS-CoV-2 coronavirus that started in Wuhan (China) in late 2019 and has spread across the world. When the patient enters the severe clinical features of the disease, the immune system begins to produce pro-inflammatory cytokines in an uncontrolled way, a phenomenon known as ``cytokine storm'', causing Acute Respiratory Distress Syndrome (ARDS) and, from there, the patient's clinical condition is critical, requiring hospitalization in Intensive Care Units (ICU). In this article, we developed a mathematical model that describes the problem of temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19; as a consequence, the problem includes the ``cytokine storm''. The model consists of a system of five first-order nonlinear ordinary differential equations, which is numerically solved using the Mathematica Software. Among the five variables involved in the system, viral load was the most detailed, as it describes the level of SARS-CoV-2 RNA in patients. Viral load profiles were presented and interpreted, in several situations, in which patients progressed to cure or death. For viral load, the model showed a relative error of 19.13% when compared to clinical data from the existing literature |
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Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19Solución numérica de la dinámica temporal de la infección por SARS-CoV-2 en pacientes con manifestaciones clínicas graves o críticas de COVID-19Solução numérica da dinâmica temporal da infecção do SARS-CoV-2 em pacientes com manifestações clínicas grave ou crítica da COVID-19SARS-CoV-2Infecção ViralTempestade de CitocinasSolução NuméricaCOVID-19 GraveSARS-CoV-2Infección ViralTormenta de CitocinasSolución NuméricaCOVID-19 GraveSARS-CoV-2Viral InfectionCytokine StormNumerical SolutionSevere COVID-19COVID-19 is an infectious disease caused by the SARS-CoV-2 coronavirus that started in Wuhan (China) in late 2019 and has spread across the world. When the patient enters the severe clinical features of the disease, the immune system begins to produce pro-inflammatory cytokines in an uncontrolled way, a phenomenon known as ``cytokine storm'', causing Acute Respiratory Distress Syndrome (ARDS) and, from there, the patient's clinical condition is critical, requiring hospitalization in Intensive Care Units (ICU). In this article, we developed a mathematical model that describes the problem of temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19; as a consequence, the problem includes the ``cytokine storm''. The model consists of a system of five first-order nonlinear ordinary differential equations, which is numerically solved using the Mathematica Software. Among the five variables involved in the system, viral load was the most detailed, as it describes the level of SARS-CoV-2 RNA in patients. Viral load profiles were presented and interpreted, in several situations, in which patients progressed to cure or death. For viral load, the model showed a relative error of 19.13% when compared to clinical data from the existing literatureEl COVID-19 es una enfermedad infecciosa provocada por el coronavirus SARS-CoV-2, que se inició en Wuhan (China) a finales de 2019 y se ha extendido por todo el mundo. Cuando el paciente entra en el cuadro clínico severo de la enfermedad, el sistema inmunitario comienza a producir citocinas proinflamatorias de forma descontrolada, fenómeno conocido como ``tormenta de citocinas'', provocando el Síndrome de Dificultad Respiratoria Aguda (SDRA) y, a partir de A partir de ese momento, el estado clínico del paciente es crítico, requiriendo ingreso en Unidades de Cuidados Intensivos (UCI). En este artículo elaboramos un modelo matemático que describe el problema de la dinámica temporal de la infección por SARS-CoV-2 en pacientes con manifestaciones clínicas graves o críticas de COVID-19 y, como consecuencia de ello, el problema incluye el ``tormenta de citoquinas''. El modelo consiste en un sistema de cinco ecuaciones diferenciales ordinarias no lineales de primer orden, que se resuelven numéricamente usando Mathematica Software. Entre las cinco variables involucradas en el sistema, la carga viral fue la más detallada, ya que describe el nivel de ARN de SARS-CoV-2 en pacientes. Se presentaron e interpretaron perfiles de carga viral en diversas situaciones en las que los pacientes progresaron hacia la curación o la muerte. Para la carga viral, el modelo mostró un error relativo de 19.13% en comparación con los datos clínicos. de la literatura existente.A COVID-19 é uma doença infecciosa causada pelo coronavírus SARS-CoV-2, que começou em Wuhan (China), no final de 2019, e se espalhou por todo o mundo. Quando o paciente entra no quadro clínico grave da doença, o sistema imunológico começa a produzir de forma descontrolada citocinas pró-inflamatórias, fenômeno conhecido como ``tempestade de citocinas'', causando a Síndrome do Desconforto Respiratório Agudo (SDRA) e, a partir desse momento, o quadro clínico do paciente é crítico, sendo necessário internação em Unidades de Terapia Intensiva (UTI). Neste artigo, elaboramos um modelo matemático que descreve o problema da dinâmica temporal da infecção do SARS-CoV-2 em pacientes com manifestações clínicas grave ou crítica da COVID-19 e, como consequência disso, o problema inclui a ``tempestade de citocinas''. O modelo consiste em um sistema de cinco equações diferenciais ordinárias não-lineares de primeira ordem, que é resolvido numericamente usando o Software Mathematica. Dentre as cinco variáveis envolvidas no sistema, a carga viral foi a mais detalhada, pois ela descreve o nível de RNA do SARS-CoV-2 nos pacientes. Foram apresentados e interpretados os perfis da carga viral, em várias situações, em que os pacientes evoluíram para a cura ou óbito. Para a carga viral, o modelo apresentou um erro relativo de 19,13% quando comparado com dados clínicos da literatura existente.Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul2023-03-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo avaliado pelos paresapplication/pdfhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/628910.35819/remat2023v9i1id6289REMAT: Revista Eletrônica da Matemática; Vol. 9 No. 1 (2023); e3003REMAT: Revista Eletrônica da Matemática; Vol. 9 Núm. 1 (2023); e3003REMAT: Revista Eletrônica da Matemática; v. 9 n. 1 (2023); e30032447-2689reponame:Remat (Bento Gonçalves)instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)instacron:IFRSporhttps://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6289/3306Copyright (c) 2023 REMAT: Revista Eletrônica da Matemáticahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessAvila, Jorge Andrés JulcaFreitas, Virgínia Moreira de2023-03-27T15:02:48Zoai:ojs2.periodicos.ifrs.edu.br:article/6289Revistahttp://periodicos.ifrs.edu.br/index.php/REMATPUBhttps://periodicos.ifrs.edu.br/index.php/REMAT/oai||greice.andreis@caxias.ifrs.edu.br2447-26892447-2689opendoar:2023-03-27T15:02:48Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS)false |
dc.title.none.fl_str_mv |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 Solución numérica de la dinámica temporal de la infección por SARS-CoV-2 en pacientes con manifestaciones clínicas graves o críticas de COVID-19 Solução numérica da dinâmica temporal da infecção do SARS-CoV-2 em pacientes com manifestações clínicas grave ou crítica da COVID-19 |
title |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
spellingShingle |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 Avila, Jorge Andrés Julca SARS-CoV-2 Infecção Viral Tempestade de Citocinas Solução Numérica COVID-19 Grave SARS-CoV-2 Infección Viral Tormenta de Citocinas Solución Numérica COVID-19 Grave SARS-CoV-2 Viral Infection Cytokine Storm Numerical Solution Severe COVID-19 |
title_short |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
title_full |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
title_fullStr |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
title_full_unstemmed |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
title_sort |
Numerical solution of the temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19 |
author |
Avila, Jorge Andrés Julca |
author_facet |
Avila, Jorge Andrés Julca Freitas, Virgínia Moreira de |
author_role |
author |
author2 |
Freitas, Virgínia Moreira de |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Avila, Jorge Andrés Julca Freitas, Virgínia Moreira de |
dc.subject.por.fl_str_mv |
SARS-CoV-2 Infecção Viral Tempestade de Citocinas Solução Numérica COVID-19 Grave SARS-CoV-2 Infección Viral Tormenta de Citocinas Solución Numérica COVID-19 Grave SARS-CoV-2 Viral Infection Cytokine Storm Numerical Solution Severe COVID-19 |
topic |
SARS-CoV-2 Infecção Viral Tempestade de Citocinas Solução Numérica COVID-19 Grave SARS-CoV-2 Infección Viral Tormenta de Citocinas Solución Numérica COVID-19 Grave SARS-CoV-2 Viral Infection Cytokine Storm Numerical Solution Severe COVID-19 |
description |
COVID-19 is an infectious disease caused by the SARS-CoV-2 coronavirus that started in Wuhan (China) in late 2019 and has spread across the world. When the patient enters the severe clinical features of the disease, the immune system begins to produce pro-inflammatory cytokines in an uncontrolled way, a phenomenon known as ``cytokine storm'', causing Acute Respiratory Distress Syndrome (ARDS) and, from there, the patient's clinical condition is critical, requiring hospitalization in Intensive Care Units (ICU). In this article, we developed a mathematical model that describes the problem of temporal dynamics of SARS-CoV-2 infection in patients with severe or critical clinical manifestations of COVID-19; as a consequence, the problem includes the ``cytokine storm''. The model consists of a system of five first-order nonlinear ordinary differential equations, which is numerically solved using the Mathematica Software. Among the five variables involved in the system, viral load was the most detailed, as it describes the level of SARS-CoV-2 RNA in patients. Viral load profiles were presented and interpreted, in several situations, in which patients progressed to cure or death. For viral load, the model showed a relative error of 19.13% when compared to clinical data from the existing literature |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-03-27 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo avaliado pelos pares |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6289 10.35819/remat2023v9i1id6289 |
url |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6289 |
identifier_str_mv |
10.35819/remat2023v9i1id6289 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6289/3306 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2023 REMAT: Revista Eletrônica da Matemática https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2023 REMAT: Revista Eletrônica da Matemática https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul |
publisher.none.fl_str_mv |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul |
dc.source.none.fl_str_mv |
REMAT: Revista Eletrônica da Matemática; Vol. 9 No. 1 (2023); e3003 REMAT: Revista Eletrônica da Matemática; Vol. 9 Núm. 1 (2023); e3003 REMAT: Revista Eletrônica da Matemática; v. 9 n. 1 (2023); e3003 2447-2689 reponame:Remat (Bento Gonçalves) instname:Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) instacron:IFRS |
instname_str |
Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) |
instacron_str |
IFRS |
institution |
IFRS |
reponame_str |
Remat (Bento Gonçalves) |
collection |
Remat (Bento Gonçalves) |
repository.name.fl_str_mv |
Remat (Bento Gonçalves) - Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) |
repository.mail.fl_str_mv |
||greice.andreis@caxias.ifrs.edu.br |
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1798329706193354752 |