Special Session 52: Differential Equations and Dynamical Systems in Mathematical Biology

Modeling the impact of antigenic distance and immune imprinting of sequential viral infections on disease severity
Hayriye Gulbudak
University of Louisiana at Lafayette
USA
Co-Author(s):    Nazia Afrin, Cameron Browne, Anna Jolles, Brianna Beechler
Abstract:
For many diseases, at various times after the primary infection, sequential infection can occur with diverse viral strains. Here we introduce a simple model that presents a balance between two distinct adaptive immune responses: cross-reactive responses derived from preexistent antibodies and specific antibodies generated during secondary infection. Our analytical and numerical results suggest that cross-reactive antibodies dominate the adaptive immune response when viral strains are similar, even if the initial cross-reactive response is sufficiently small; thus the waning period does not affect the ratio of adaptive to cross-reactive antibodies significantly. However, the waning period and antigenic similarity both matter to viral production and host damage, with greatest production and most damage occurring when the initial cross-reactive response is large and viruses are dissimilar. Moreover, adaptive immunity lowers disease severity, while a higher pathogen growth rate increases it, showing that disease outcome depends on both immune responses and pathogen traits. In addition, sequential infections with a circulating strain that is antigenically very similar to a previous infection may limit the hosts ability to mount a diverse portfolio of immune responses. Therefore, understanding how immune imprinting shapes the overall host immune response can be critical for effective protection during an epidemic.