The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection

DOI10.1016/j.apm.2019.05.028zbMath1481.92055OpenAlexW2944857458WikidataQ127823011 ScholiaQ127823011MaRDI QIDQ1985090

Linda J. S. Allen, Pooya Aavani

Publication date: 7 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.05.028

zbMATH Keywords

stability analysisordinary differential equationsHIVCTL response

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items

The effect of chemotaxis on T-cell regulatory dynamics ⋮ Global stability for a delayed HIV reactivation model with latent infection and Beddington-DeAngelis incidence ⋮ Global stability for a class of HIV virus-to-cell dynamical model with Beddington-DeAngelis functional response and distributed time delay ⋮ Modeling the effect of activation of CD\(4^+\) T cells on HIV dynamics ⋮ Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response

Cites Work

• Unnamed Item
• Unnamed Item
• Global properties of basic virus dynamics models
• Viral dynamics model with CTL immune response incorporating antiretroviral therapy
• Immuno-modulatory strategies for reduction of HIV reservoir cells
• Stochastic population switch may explain the latent reservoir stability and intermittent viral blips in HIV patients on suppressive therapy
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Killer cell dynamics. Mathematical and computational approaches to immunology.
• Mathematical biology of HIV infections: Antigenic variation and diversity threshold
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Optimal HIV treatment by maximising immune response
• An in-depth analysis of the HIV-1/AIDS dynamics by comprehensive mathematical modeling
• Optimal control in HIV chemotherapy with termination viral load and latent reservoir
• Global Stability of Infectious Disease Models Using Lyapunov Functions
• Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Modelling HIV immune response and validation with clinical data

This page was built for publication: The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection