A fractional-order model of HIV infection: Numerical solution and comparisons with data of patients

In this paper, a fractional-order model which describes the human immunodeficiency type-1 virus (HIV-1) infection is presented. Numerical solutions are obtained using a generalized Euler method (GEM) to handle the fractional derivatives. The fractional derivatives are described in the Caputo sense. We show that the model established in this paper possesses non-negative solutions. Comparisons between the results of the fractional-order model, the results of the integer model and the measured real data obtained from 10 patients during primary HIV-1 infection are presented. These comparisons show that the results of the fractional-order model give predictions to the plasma virus load of the patients better than those of the integer model.

Rapid Viral Decay in Simian Immunodeficiency Virus-Infected Macaques Receiving Quadruple Antiretroviral Therapy

ABSTRACT The viral dynamics in human immunodeficiency virus type 1 (HIV-1) infection have been studied extensively using mathematical modeling, but data from other primate lentivirus systems are scarce. This study was initiated to increase the understanding of the differences and similarities between the different primate lentiviruses. Four cynomolgus macaques were infected with SIVmac251. Six months after infection the monkeys received a 7-day course of subcutaneous, quadruple antiretroviral therapy with zidovudine, lamivudine, tenofovir, and ritonavir-boosted lopinavir. Plasma virus levels were determined before therapy, daily during the first 10 days of therapy, and after 14 days using a sensitive commercial reverse transcriptase assay. All four monkeys showed a rapid and uniform decline in plasma virus load between day 1 and day 4 of treatment (first-phase decay). Two mathematical models, a piecewise linear regression analysis and a nonlinear model, were used to estimate the rate of viral decay in plasma and gave similar results. The mean half-life for plasma virus was 0.47 days (range, 0.37 to 0.50) and reflects the underlying decline of virus-producing CD4+ lymphocytes. This is the fastest primate lentivirus decay described hitherto. The rapid decay may be due to the high antiviral potency of the therapy or to intrinsic differences between simian immunodeficiency virus (SIV) infection in macaques and HIV-1 infection in humans.

Lentivirus-Specific Cytotoxic T-Lymphocyte Responses Are Rapidly Lost in Thymectomized Cats Infected with Feline Immunodeficiency Virus

ABSTRACT To what extent the thymus is needed to preserve the virus-specific cytotoxic T-lymphocyte (CTL) response of lentivirus-infected adults is unclear. Presented here is the first definitive study using thymectomized (ThX) animals to directly evaluate the contribution of thymic function to lentivirus-specific CTL response and the control of lentivirus infections. ThX and mock-ThX cats were inoculated with feline immunodeficiency virus (FIV) and monitored for their FIV-specific CTL responses. Early in infection, both FIV-ThX and FIV-mock-ThX cats produced similar CTL responses, but surprisingly, after 20 weeks, the FIV-ThX cats showed a statistically significant loss of FIV-specific CTL activity, while FIV-infected cats with intact thymuses continued to maintain FIV-specific CTL. The loss of CTL did not affect plasma virus load, which remained elevated for both groups. These results emphasize the importance of thymic integrity in maintaining immunity to lentiviruses, but also bring into question the notion that virus load is regulated predominantly by the virus-specific CTL response.

Relationship between In Vitro Human Immunodeficiency Virus Type 1 Replication Rate and Virus Load in Plasma

ABSTRACT Although plasma human immunodeficiency virus type 1 (HIV-1) RNA concentration is a major determinant of the rate of HIV-1 disease progression, the reasons for variability in plasma virus loads among infected individuals are not fully understood. We conducted investigations with 15 HIV-1-infected individuals who were not receiving antiretroviral therapy to evaluate the hypothesis that HIV-1 replication rate in vitro is a significant determinant of plasma virus load. Virus could not be isolated from one subject. Two subjects were excluded because they had features previously associated with distinct plasma virus loads and altered rates of disease progression; one harbored a syncytium-inducing virus and the second was heterozygous for a 32-bp deletion from the CCR5 gene. HIV-1 replication rates were determined by culturing autologous virus isolates in phytohemagglutinin-treated peripheral blood mononuclear cells (PBMC) and determining the rate of p24 antigen production during the logarithmic phase of viral replication. The contribution of HIV-1 reverse transcriptase (RT) and protease (PR) alleles to replication capacity was assessed using recombinant viruses in a single-cycle infection assay. HIV-1 replication rates ranged from 0.15 to 0.76 log10 pg/ml/day and were reproducible within the same donor PBMC (coefficient of variation ± 4%). RT-PR replication capacity ranged from 14 to 95% of that of control virus and was linearly related to replication rate (r 2 = 0.53; P = 0.007). Plasma HIV-1 RNA concentration was linearly related to replication rate (r 2 = 0.71; P < 0.001) and RT-PR replication capacity (r 2 = 0.44; P = 0.019). These data suggest that different RT-PR alleles are important determinants of HIV-1 replication rates and that HIV-1 replication rate explains much of the variability in plasma virus load in chronic HIV-1 infection.

Induction of anti-simian immunodeficiency virus cellular and humoral immune responses in rhesus macaques by peptide immunogens: correlation of CTL activity and reduction of cell-associated but not plasma virus load following challenge

Lipopeptides which carry the N-terminal moiety tripalmitoyl-S-glyceryl-cysteinyl-seryl-seryl (P3CSS) have been shown to have effective adjuvant and transmembrane carrier properties. To test the ability of these constructs to immunize against simian immunodeficiency virus [(SIV)mac] infection, rhesus macaques, prescreened for expression of the Mamu-A*01 MHC class I molecule, were immunized at regular intervals with lipopeptides corresponding to known SIVmac CTL epitopes alone or in combination with multiple antigenic peptides corresponding to neutralizing epitopes. Both humoral and CTL responses were elicited and the monkeys, along with non-immunized control animals, were challenged intravenously with 20 MID50 of the homologous, uncloned SIVmac251-32H grown in rhesus monkey PBMC. Although none of the monkeys were protected from infection, most demonstrated an anamnestic CTL response with epitope-specific CTL precursor frequencies reaching as high as 1 in 20 total PBMC as measured by limiting dilution CTL assay or 25% of all CD8+ T-cells using tetrameric MHC-I/peptide complexes. A significant inverse correlation between the levels of CTLp and the number of infected cells in circulation was observed. However, no such correlation with the plasma viral load (RNA copies/ml) was evident.

Loss of blood CD11c+ myeloid and CD11c−plasmacytoid dendritic cells in patients with HIV-1 infection correlates with HIV-1 RNA virus load

Human blood contains at least 2 subpopulations of antigen-presenting dendritic cells (DCs) that can be differentiated by their expression of CD11c. Myeloid DCs (myDCs), which are CD11c+, trap invading pathogens in the tissues and then migrate to lymphoid tissues where they stimulate pathogen-specific T-cell responses. Plasmacytoid DCs (pcDCs), which are CD11c−, secrete interferon-α in response to viral infections. This study reports that in HIV-1 infection there is a progressive depletion of both these DC populations and that this correlates with an increasing HIV-1 plasma virus load. The median numbers of myDCs and pcDCs were 6978/mL and 9299/mL, respectively, in healthy male controls and 2298/mL and 1640/mL, respectively, in patients with more than 105 HIV-1 RNA copies/mL. Both DC populations expressed CD4, CCR5, and CXCR4. The findings suggest that loss of DCs in HIV infection may contribute to disease progression.