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Infection severity across scales in multi-strain immuno-epidemiological Dengue model structured by host antibody level.
- Source :
-
Journal of mathematical biology [J Math Biol] 2020 May; Vol. 80 (6), pp. 1803-1843. Date of Electronic Publication: 2020 Mar 10. - Publication Year :
- 2020
-
Abstract
- Infection by distinct Dengue virus serotypes and host immunity are intricately linked. In particular, certain levels of cross-reactive antibodies in the host may actually enhance infection severity leading to Dengue hemorrhagic fever (DHF). The coupled immunological and epidemiological dynamics of Dengue calls for a multi-scale modeling approach. In this work, we formulate a within-host model which mechanistically recapitulates characteristics of antibody dependent enhancement in Dengue infection. The within-host scale is then linked to epidemiological spread by a vector-host partial differential equation model structured by host antibody level. The coupling allows for dynamic population-wide antibody levels to be tracked through primary and secondary infections by distinct Dengue strains, along with waning of cross-protective immunity after primary infection. Analysis of both the within-host and between-host systems are conducted. Stability results in the epidemic model are formulated via basic and invasion reproduction numbers as a function of immunological variables. Additionally, we develop numerical methods in order to simulate the multi-scale model and assess the influence of parameters on disease spread and DHF prevalence in the population.
- Subjects :
- Animals
Antibodies, Viral metabolism
Antibody-Dependent Enhancement
Basic Reproduction Number statistics & numerical data
Coinfection epidemiology
Coinfection immunology
Computer Simulation
Cross Reactions
Dengue transmission
Dengue Virus classification
Host Microbial Interactions immunology
Humans
Mathematical Concepts
Mosquito Vectors virology
Severity of Illness Index
Dengue epidemiology
Dengue immunology
Dengue Virus immunology
Models, Immunological
Subjects
Details
- Language :
- English
- ISSN :
- 1432-1416
- Volume :
- 80
- Issue :
- 6
- Database :
- MEDLINE
- Journal :
- Journal of mathematical biology
- Publication Type :
- Academic Journal
- Accession number :
- 32157381
- Full Text :
- https://doi.org/10.1007/s00285-020-01480-3