English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Mathematical modeling and analysis can provide insight on the dynamics ofecosystems which maintain biodiversity in the face of competitive andprey-predator interactions. Of primary interests are the underlying structureand features which stabilize diverse ecological networks. Recently Korytowskiand Smith [17] proved that a perfectly nested infection network, along withappropriate life history trade-offs, leads to coexistence and persistence ofbacteria-phage communities in a chemostat model. In this article, we generalizetheir model in order to apply it to the within-host dynamics virus and immuneresponse, in particular HIV and CTL (Cytotoxic T Lymphocyte) cells. Our modelcan produce a diverse hierarchy of viral and immune populations, built throughsequential viral escape from dominant immune responses and rise in subdominantimmune responses, consistent with observed patterns of HIV/CTL evolution. Wefind a Lyapunov function for the system which leads to rigorouscharacterization of persistent viral and immune variants, and informs uponequilibria stability and global dynamics. Results are interpreted in thecontext of within-host HIV/CTL evolution and numerical simulations areprovided.

Global Properties of Nested Network Model with Application to Multi-Epitope HIV/CTL Dynamics