The previously suggested mathematical model of CD4+ lymphocyte depletion in HIV-infected individuals is analyzed and further developed. The model assumes that CD4+ lymphocyte depletion is caused by HIV products. Fairly good simulation of CD4+ lymphocyte dynamics is obtained, when limitation of HIV growth by specific cytotoxic T cells is included in the model. As it is probable that the substantial decrease of CD4+ lymphocytes, this type of influx control mechanism is also included in the model. It is shown that the simulated CD4+ lymphocyte dynamics agree with the observed data, analogously as in the earlier considered case of the constant influx. Moreover, the depleting effect of HIV products on mature and/or immature CD4+ lymphocytes is analyzed by the model. Also, another modification of the model assuming that CD4+ lymphocyte depletion is due to their destruction by cytotoxic T cells specific for HIV antigens, gives simulation results comparable to those obtained by the original version of the model, where the mechanism of the depletion is not specified.

Institute of Molecular Genetics Czećhoslovak Academy of Sciences Prague

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A mathematical model and CD4+ lymphocyte dynamics in HIV infection