Mathematical Analysis of HIV-1 Dynamics in Vivo
SIAM Review
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
ACM Transactions on Mathematical Software (TOMS)
Modelling and control of HIV dynamics
Computer Methods and Programs in Biomedicine
HIV dynamics: Modeling, data analysis, and optimal treatment protocols
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
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In this paper, we propose and study models of long-term Human Immunodeficiency Virus (HIV-1) infection. Our aim is to identify model mechanisms that allow one to explain the trends observed in clinical measurements of the number of CD4+ T-cells and virus throughout the long-term HIV-1 infection, from the acute phase until the onset of AIDS. To achieve our goal, we apply some standard methods of modeling and analysis of dynamical systems. Among these methods, are model development and validation processes such as parameter estimation, as well as Painleve and bifurcation analysis.