ArticleJournal of mathematical biology2012
Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection.
Article in Journal of mathematical biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Dynamics of HIV-1/HTLV-I Co-Infection Model with Humoral Immunity and Cellular Infection.Viruses · 2022Article
- Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity.Advances in difference equations · 2021Article
- Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model.Journal of mathematical biology · 2014Article
- Complex dynamic behavior in a viral model with state feedback control strategies.Nonlinear dynamics · 2014Article
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Authors and funding
2 authors.
Funding
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Abstract
The cytotoxic T lymphocyte (CTL) response to the infection of CD4+ T cells by human T cell leukemia virus type I (HTLV-I) has previously been modelled using standard response functions, with relatively simple dynamical outcomes. In this paper, we investigate the consequences of a more general CTL response and show that a sigmoidal response function gives rise to complex behaviours previously unobserved. Multiple equilibria are shown to exist and none of the equilibria is a global attractor during the chronic infection phase. Coexistence of local attractors with their own basin of attractions is the norm. In addition, both stable and unstable periodic oscillations can be created through Hopf bifurcations. We show that transient periodic oscillations occur when a saddle-type periodic solution exists. As a consequence, transient periodic oscillations can be robust and observable. Implications of our findings to the dynamics of CTL response to HTLV-I infections in vivo and pathogenesis of HAM/TSP are discussed.
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