HIV Progression

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This Demonstration implements the mathematical model of HIV infection as described in [1]. The notation used here, which differs from that of [1], is as follows:


is the number of uninfected T cells.

is the number of infected T cells.

is the number of free virus particles.

Uninfected T cells are produced at a rate .

In the absence of a virus, uninfected T cells die at a rate .

Uninfected T cells turn into infected T cells at a rate .

Infected T cells die at a rate , releasing virus particles each time an infected T cell dies.

Finally, free virus particles are eliminated by the body at a rate .


Contributed by: Simon Mochrie (December 2011)
Open content licensed under CC BY-NC-SA




[1] M. A. Nowak and R. M. May, Virus Dynamics: Mathematical Principles of Immunology and Virology, New York: Oxford University Press, 2001.

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