4.4 Article

The effects of symmetry on the dynamics of antigenic variation

Journal

JOURNAL OF MATHEMATICAL BIOLOGY
Volume 66, Issue 1-2, Pages 115-137

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00285-012-0508-y

Keywords

Antigenic variation; Symmetry; Equivariant bifurcation theory

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In the studies of dynamics of pathogens and their interactions with a host immune system, an important role is played by the structure of antigenic variants associated with a pathogen. Using the example of a model of antigenic variation in malaria, we show how many of the observed dynamical regimes can be explained in terms of the symmetry of interactions between different antigenic variants. The results of this analysis are quite generic, and have wider implications for understanding the dynamics of immune escape of other parasites, as well as for the dynamics of multi-strain diseases.

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