Maternal Passive Immunity and Dengue Hemorrhagic Fever in Infants
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
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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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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1808128221498048512 |