Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants

Detalhes bibliográficos
Autor(a) principal: Adimy, Mostafa
Data de Publicação: 2020
Outros Autores: Mancera, Paulo F. A. [UNESP], Rodrigues, Diego S., Santos, Fernando L. P. [UNESP], Ferreira, Cláudia P. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11538-020-00699-x
http://hdl.handle.net/11449/198440
Resumo: Dengue hemorrhagic fever (DHF) can occur in primary dengue virus infection of infants < 1 year of age. To understand the presumed role of maternal dengue-specific antibodies received until birth in the development of this primary DHF in infants, we investigated a mathematical model based on a system of nonlinear ordinary differential equations that mimics cells, virus and antibodies interactions. The neutralization and enhancement activities of maternal antibodies against the virus are represented by a function derived from experimental data and knowledge from the medical literature. The analytic study of the model shows the existence of two equilibriums, a disease-free equilibrium and an endemic one. We performed the asymptotic stability analysis for these two equilibriums. The local asymptotic stability of the endemic equilibrium (DHF equilibrium) corresponds to the occurrence of DHF. Numerical results are also presented in order to illustrate the mathematical analysis performed, highlighting the most important parameters that drive model dynamics. We defined the age at which DHF occurs as the time when the infection takes off that means at the inflection point of the curve of infected cell population. We showed that this age corresponds to the one at which maximum enhancing activity for dengue infection appears. This critical time for the occurrence of DHF is calculated from the model to be approximately 2 months after the time for maternal dengue neutralizing antibodies to degrade below a protective level, which corresponds to what is observed in the experimental data from the literature.
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spelling Maternal Passive Immunity and Dengue Hemorrhagic Fever in InfantsAntibody-dependent enhancement (ADE)DENVLocal and global stability analysesMathematical modelingDengue hemorrhagic fever (DHF) can occur in primary dengue virus infection of infants < 1 year of age. To understand the presumed role of maternal dengue-specific antibodies received until birth in the development of this primary DHF in infants, we investigated a mathematical model based on a system of nonlinear ordinary differential equations that mimics cells, virus and antibodies interactions. The neutralization and enhancement activities of maternal antibodies against the virus are represented by a function derived from experimental data and knowledge from the medical literature. The analytic study of the model shows the existence of two equilibriums, a disease-free equilibrium and an endemic one. We performed the asymptotic stability analysis for these two equilibriums. The local asymptotic stability of the endemic equilibrium (DHF equilibrium) corresponds to the occurrence of DHF. Numerical results are also presented in order to illustrate the mathematical analysis performed, highlighting the most important parameters that drive model dynamics. We defined the age at which DHF occurs as the time when the infection takes off that means at the inflection point of the curve of infected cell population. We showed that this age corresponds to the one at which maximum enhancing activity for dengue infection appears. This critical time for the occurrence of DHF is calculated from the model to be approximately 2 months after the time for maternal dengue neutralizing antibodies to degrade below a protective level, which corresponds to what is observed in the experimental data from the literature.Inria Université de Lyon Université Lyon 1, 43 Bd. du 11 novembre 1918São Paulo State University (UNESP), Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, District of Rubião JuniorSchool of Technology University of Campinas (UNICAMP), Rua Paschoal Marmo, 1888São Paulo State University (UNESP), Rua Prof. Dr. Antônio Celso Wagner Zanin, 250, District of Rubião JuniorUniversité Lyon 1Universidade Estadual Paulista (Unesp)Universidade Estadual de Campinas (UNICAMP)Adimy, MostafaMancera, Paulo F. A. [UNESP]Rodrigues, Diego S.Santos, Fernando L. P. [UNESP]Ferreira, Cláudia P. [UNESP]2020-12-12T01:12:59Z2020-12-12T01:12:59Z2020-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s11538-020-00699-xBulletin of Mathematical Biology, v. 82, n. 2, 2020.1522-96020092-8240http://hdl.handle.net/11449/19844010.1007/s11538-020-00699-x2-s2.0-8507841037820527496982046170000-0002-9404-6098Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBulletin of Mathematical Biologyinfo:eu-repo/semantics/openAccess2021-11-18T19:33:25Zoai:repositorio.unesp.br:11449/198440Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:31:47.173379Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
title Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
spellingShingle Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
Adimy, Mostafa
Antibody-dependent enhancement (ADE)
DENV
Local and global stability analyses
Mathematical modeling
title_short Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
title_full Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
title_fullStr Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
title_full_unstemmed Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
title_sort Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
author Adimy, Mostafa
author_facet Adimy, Mostafa
Mancera, Paulo F. A. [UNESP]
Rodrigues, Diego S.
Santos, Fernando L. P. [UNESP]
Ferreira, Cláudia P. [UNESP]
author_role author
author2 Mancera, Paulo F. A. [UNESP]
Rodrigues, Diego S.
Santos, Fernando L. P. [UNESP]
Ferreira, Cláudia P. [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Université Lyon 1
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Campinas (UNICAMP)
dc.contributor.author.fl_str_mv Adimy, Mostafa
Mancera, Paulo F. A. [UNESP]
Rodrigues, Diego S.
Santos, Fernando L. P. [UNESP]
Ferreira, Cláudia P. [UNESP]
dc.subject.por.fl_str_mv Antibody-dependent enhancement (ADE)
DENV
Local and global stability analyses
Mathematical modeling
topic Antibody-dependent enhancement (ADE)
DENV
Local and global stability analyses
Mathematical modeling
description Dengue hemorrhagic fever (DHF) can occur in primary dengue virus infection of infants < 1 year of age. To understand the presumed role of maternal dengue-specific antibodies received until birth in the development of this primary DHF in infants, we investigated a mathematical model based on a system of nonlinear ordinary differential equations that mimics cells, virus and antibodies interactions. The neutralization and enhancement activities of maternal antibodies against the virus are represented by a function derived from experimental data and knowledge from the medical literature. The analytic study of the model shows the existence of two equilibriums, a disease-free equilibrium and an endemic one. We performed the asymptotic stability analysis for these two equilibriums. The local asymptotic stability of the endemic equilibrium (DHF equilibrium) corresponds to the occurrence of DHF. Numerical results are also presented in order to illustrate the mathematical analysis performed, highlighting the most important parameters that drive model dynamics. We defined the age at which DHF occurs as the time when the infection takes off that means at the inflection point of the curve of infected cell population. We showed that this age corresponds to the one at which maximum enhancing activity for dengue infection appears. This critical time for the occurrence of DHF is calculated from the model to be approximately 2 months after the time for maternal dengue neutralizing antibodies to degrade below a protective level, which corresponds to what is observed in the experimental data from the literature.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:12:59Z
2020-12-12T01:12:59Z
2020-02-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s11538-020-00699-x
Bulletin of Mathematical Biology, v. 82, n. 2, 2020.
1522-9602
0092-8240
http://hdl.handle.net/11449/198440
10.1007/s11538-020-00699-x
2-s2.0-85078410378
2052749698204617
0000-0002-9404-6098
url http://dx.doi.org/10.1007/s11538-020-00699-x
http://hdl.handle.net/11449/198440
identifier_str_mv Bulletin of Mathematical Biology, v. 82, n. 2, 2020.
1522-9602
0092-8240
10.1007/s11538-020-00699-x
2-s2.0-85078410378
2052749698204617
0000-0002-9404-6098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Bulletin of Mathematical Biology
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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