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dc.contributor.authorDiekmann, O
dc.contributor.authorde Graaf, W F
dc.contributor.authorKretzschmar, M E E
dc.contributor.authorTeunis, P F M
dc.date.accessioned2018-05-27T13:12:00Z
dc.date.available2018-05-27T13:12:00Z
dc.date.issued2018-05-15
dc.identifier.citationWaning and boosting: on the dynamics of immune status. 2018 J Math Biolen
dc.identifier.issn1432-1416
dc.identifier.pmid29766232
dc.identifier.doi10.1007/s00285-018-1239-5
dc.identifier.urihttp://hdl.handle.net/10029/621955
dc.description.abstractThe aim is to describe the distribution of immune status (as captured by antibody level) on the basis of a within-host submodel for continuous waning and occasional boosting. Inspired by Feller's fundamental work and the more recent delay equation formulation of models for the dynamics of physiologically structured populations, we derive, for given force of infection, a linear renewal equation. The solution is obtained by generation expansion, with the generation number corresponding to the number of times the individual became infected. Our main result provides a precise characterization of the stable distribution of immune status.
dc.language.isoenen
dc.rightsArchived with thanks to Journal of mathematical biologyen
dc.titleWaning and boosting: on the dynamics of immune status.en
dc.typeArticleen
dc.identifier.journalJ Math Biol 2018; 77(6-7):2023-48en
html.description.abstractThe aim is to describe the distribution of immune status (as captured by antibody level) on the basis of a within-host submodel for continuous waning and occasional boosting. Inspired by Feller's fundamental work and the more recent delay equation formulation of models for the dynamics of physiologically structured populations, we derive, for given force of infection, a linear renewal equation. The solution is obtained by generation expansion, with the generation number corresponding to the number of times the individual became infected. Our main result provides a precise characterization of the stable distribution of immune status.


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