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    Waning and boosting: on the dynamics of immune status.

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    Authors
    Diekmann, O
    de Graaf, W F
    Kretzschmar, M E E
    Teunis, P F M
    Type
    Article
    Language
    en
    
    Metadata
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    Title
    Waning and boosting: on the dynamics of immune status.
    Published in
    J Math Biol 2018; 77(6-7):2023-48
    Publiekssamenvatting
    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.
    DOI
    10.1007/s00285-018-1239-5
    PMID
    29766232
    URI
    http://hdl.handle.net/10029/621955
    ae974a485f413a2113503eed53cd6c53
    10.1007/s00285-018-1239-5
    Scopus Count
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