{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T15:49:24Z","timestamp":1740152964381,"version":"3.37.3"},"reference-count":38,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["MBE"],"published-print":{"date-parts":[[2024]]},"abstract":"<jats:p xml:lang=\"fr\">&lt;p&gt;Effector CD8&lt;sup&gt;+&lt;\/sup&gt; cells lyse human immunodeficiency viruses (HIV)-infected CD4&lt;sup&gt;+&lt;\/sup&gt; cells by recognizing a viral peptide presented by human leukocyte antigens (HLA) on the CD4&lt;sup&gt;+&lt;\/sup&gt; cell surface, which plays an irreplaceable role in within-host HIV clearance. Using a semi-saturated lysing efficiency of a CD8&lt;sup&gt;+&lt;\/sup&gt; cell, we discuss a model that captures HIV dynamics with different magnitudes of lysing rate induced by different HLA alleles. With the aid of local stability analysis and bifurcation plots, exponential interactions among CD4&lt;sup&gt;+&lt;\/sup&gt; cells, HIV, and CD8&lt;sup&gt;+&lt;\/sup&gt; cells were investigated. The system exhibited unexpectedly complex behaviors that were both mathematically and biologically interesting, for example monostability, periodic oscillations, and bistability. The CD8&lt;sup&gt;+&lt;\/sup&gt; cell lysing rate, the CD8&lt;sup&gt;+&lt;\/sup&gt; cell count, and the saturation effect were combined to determine the HIV kinetics. For a given CD8&lt;sup&gt;+&lt;\/sup&gt; cell count, a low CD8&lt;sup&gt;+&lt;\/sup&gt; cell lysing rate and a high saturation effect led to monostability to a high viral titre, and a low CD8&lt;sup&gt;+&lt;\/sup&gt; cell lysing rate and a low saturation effect triggered periodic oscillations; this explained why patients with a non-protective HLA allele were always associated with a high viral titer and exhibited bad infection control. On the other hand, a high CD8&lt;sup&gt;+&lt;\/sup&gt; cell lysing rate led to bistability and monostability to a low viral titer; this explained why protective HLA alleles are not always associated with good HIV infection outcomes. These mathematical results explain how differences in HLA alleles determine the variability in viral infection.&lt;\/p&gt;<\/jats:p>","DOI":"10.3934\/mbe.2024324","type":"journal-article","created":{"date-parts":[[2024,10,23]],"date-time":"2024-10-23T06:10:51Z","timestamp":1729663851000},"page":"7373-7393","source":"Crossref","is-referenced-by-count":1,"title":["Saturated lysing efficiency of CD8&lt;sup&gt;+&lt;\/sup&gt; cells induced monostable, bistable and oscillatory HIV kinetics"],"prefix":"10.3934","volume":"21","author":[{"given":"Shilian","family":"Xu","sequence":"first","affiliation":[{"name":"Department of Environment and Genetics, School of Agriculture, Biomedicine and Environment, La Trobe University, Bundoora, VIC 3086, Australia"},{"name":"Department of Mathematical and Physical Sciences, La Trobe University, Bundoora, VIC 3086, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2024324-1","doi-asserted-by":"publisher","unstructured":"L. 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