Waning and boosting: on the dynamics of immune status.
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Open Access
Type
Article
Language
en
Date
2018-05-15
Research Projects
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Journal Issue
Title
Waning and boosting: on the dynamics of immune status.
Translated Title
Published in
J Math Biol 2018; 77(6-7):2023-48
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.