2.50
Hdl Handle:
http://hdl.handle.net/10029/621955
Title:
Waning and boosting: on the dynamics of immune status.
Authors:
Diekmann, O; de Graaf, W F; Kretzschmar, M E E; Teunis, P F M
Abstract:
The 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.
Citation:
Waning and boosting: on the dynamics of immune status. 2018 J Math Biol
Journal:
J Math Biol 2018; advance online publication (ahead of print)
Issue Date:
15-May-2018
URI:
http://hdl.handle.net/10029/621955
DOI:
10.1007/s00285-018-1239-5
PubMed ID:
29766232
Type:
Article
Language:
en
ISSN:
1432-1416
Appears in Collections:
Miscellaneous

Full metadata record

DC FieldValue Language
dc.contributor.authorDiekmann, Oen
dc.contributor.authorde Graaf, W Fen
dc.contributor.authorKretzschmar, M E Een
dc.contributor.authorTeunis, P F Men
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.en
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; advance online publication (ahead of print)en

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