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Journal of Virology, April 2002, p. 3522-3533, Vol. 76, No. 7
0022-538X/02/$04.00+0 DOI: 10.1128/JVI.76.7.3522-3533.2002
Copyright © 2002, American Society for Microbiology. All Rights Reserved.
Department of Biological Chemistry, Merck Research Laboratories, West Point, Pennsylvania 19486
Received 2 August 2001/ Accepted 4 January 2002
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Kabat and coworkers have proposed a mass-action model to explain their findings that a threshold density of CCR5 is needed to support HIV infection and that the threshold level of CCR5 varies according to CD4 expression (14, 24). An extension of the mass-action model of complex formation is that the virion-surface density (or cell-surface density) of gp120/gp41 is likely to be an important determinant of how efficiently fusion-competent gp120/gp41:CD4:CoR complexes form. Understanding of the fusion mechanism of influenza virus hemagglutinin (HA) protein has benefited greatly from studies in which fusogenic activity has been correlated with HA expression levels (5, 8). In principle, similar studies applied to HIV gp120/gp41-driven membrane fusion might reveal the minimum number of gp120/gp41 molecules necessary to promote membrane fusion. To date, this parameter has not been investigated systematically, in part because of a dearth of experimental systems in which to study early gp120/gp41 function. Here we describe the use of a new cell-cell fusion assay capable of monitoring gp120/gp41 function on a short time scale (minutes to hours) to address this issue.
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SupT1/CCR5/BlaM. The CCR5 plasmid, pJBpuro-1 was a gift of B. Daugherty and J. DeMartino. pcDNA3-blaM plasmid was obtained from Aurora Biosciences Corp. SupTI clones constitutively expressing ß-lactamase were constructed by electroporation of SupT1 cells with pcDNA3-blaM and selecting transformants for resistance to 800 µg of G418/ml. Clones were screened for expression of ß-lactamase by labeling cells with 1 µM CCF2-AM per manufacturer's instructions (Aurora Biosciences Corp). CCR5-expressing derivatives of SupT1/BlaM cells were constructed by electroporation of cells with pJBpuro-1, selecting transformants for resistance to 0.45 µg of puromycin/ml and 800 µg of G418/ml. Clones were isolated by limiting dilution, and expression of CCR5 was assessed by quantitative fluorescence-activated cell sorter analysis.
Recombinant vaccinia viruses expressing HIV gp160. Recombinant vaccinia viruses were constructed for expression of gp160 from HIV-1 strains HXB2 and Sf162 essentially as previously described (26). Full-length gp160 genes were amplified by PCR. Templates for HXB2 strain and the Sf162 were plasmids pF412 (25) and pCAGGS/Sf162 (3), respectively. The following synthetic oligonucleotides (Midland) were used to amplify full-length HIV gp160 genes: 5'-GGGCTCGAGAAGACAGTGGCAATGA-3' (sense primer with appended XhoI site) and 5'-AAAAGCGGCCGCCACCCATCTTATAGCAAA-3' (antisense primer with appended NotI site). The resulting PCR products were purified, digested with XhoI and NotI, and inserted into pSC11-MI vector digested with SalI and NotI (Tong-Ming Fu; Merck Research Labs). The resulting plasmids, pJL24 and pJL29, contained full-length gp160 genes from HxB2 and Sf162, respectively. Sequences of all inserts were verified using automated nucleotide sequence analysis. These plasmids were used to generate recombinant vaccinia viruses Venv-5 and Venv-10, respectively, using standard protocols for production of recombinant vaccinia virus (7).
Cell-cell fusion assay.
HeLa cells were infected in bulk for 2 h with Venv recombinant vaccinia virus at a multiplicity of infection of 2.5 in 0.1% bovine serum albumin (BSA) in Dulbecco's phosphate-buffered saline (DPBS), with gentle mixing every 15 min. At the end of the infection period, cells were washed with DPBS to remove excess virus and resuspended in cDMEM at a cell density of 2.5 x 105 cells/ml. Cells were plated into 96-well clear-bottom black plates (Costar 3603) at a cell density of 2.5 x 104 cells/well and incubated at 37°C for 18 to 20 h to allow gp160 expression. The media was removed from wells and cells were labeled with 5 µM CCF2-AM for 60 min at room temperature. After the labeling period, CCF2-AM solution was removed and cells were washed two times with DPBS. All controls, compounds, and cells were diluted in complete HBSS (Hanks' balanced salt solution with 2 mM glutamine and 20 mM HEPES buffer; Life Technologies) containing 2 mM probenecid (Sigma) and 1% dimethyl sulfoxide. Where indicated, inhibitors (DP-178 [Synpep], AOP-RANTES [Gryphon Scientific], stromal-cell-derived factor 1ß (SDF-1ß) [Peprotech]) were added to wells in a volume of 50 µl at 2x final concentration. SupT1/ß-lac/CCR5 cells (105/well) were added in 50 µl so that the final volume was 100 µl/well. Plates were transferred to a 37oC, 5% CO2 environment to allow cell-cell fusion to occur. Fusion of cells and the shift from green to blue fluorescence were visualized by fluorescence microscopy. Fluorescence was quantified using a BMG FLUOstar fluorometer, reading from the bottom of the plate using a (mean ± standard deviation) 405-nm ± 20-nm excitation filter (Chroma Technologies) and emission filters of 460 ± 40 nm (blue channel; Chroma) and 538 nm (green channel; BMG). Where indicated, 50% inhibitory concentrations (IC50s) were determined using a four-parameter logistic fit to the equation
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Microscopy and image processing. The DP178 titration plate was imaged on an Olympus IX-70 inverted microscope with mercury excitation and CCF2 filter set no. 41031 from Chroma Technology (Brattleboro, N.H.). Digital micrographs were recorded using a SpotRT digital CCD camera (Diagnostic Instruments, Sterling Heights, Mich.) via a personal computer. TIFF files were loaded and analyzed in Image Pro Plus version 4.0 software (Media Cybernetics, Gaithersburg, Md.). Micrographs presented in this paper have been contrast enhanced. Images acquired in RGB (red, green, blue) color space were converted to HSI (hue, saturation, intensity) space by using the color extract command. The resulting grayscale "intensity" image was flattened and then segmented to determine where cells were located within the field of view. A binary mask was created from the segmented intensity image, and a watershed split was applied to separate adjacent cells. A point-wise minimum filter was applied between the "hue" image and the split mask to create a final image to which two distinct peaks appeared in the histogram of gray values, corresponding to blue and green pixels. Two-class segmentation was done to separate the two hue peaks, and the percentage of the area that was blue cells was determined in each image by dividing the total number of blue pixels by the total number of blue plus green pixels.
Immunofluorescence detection of gp120 was done using immunoglobulin G1b12 (IgG1b12) directly conjugated to phycoerythrin (custom conjugation done by Pharmingen). Cells (grown in eight-well glass chamber slides; Nalgene) were incubated with the antibody (1 µg/ml in DPBS-0.1% BSA) for 1 h at room temperature and then washed three times with DPBS-0.1% BSA. Micoroscopic images were captured using an Olympus DP-10 digital camera and a 10x fluorescence objective.
Western blotting. Recombinant Sf162 gp120-FLAG was generated and purified as previously described (26) and quantified by comparing band intensities with known amounts of HXB2 gp120 (ABI) on Colloidal Blue-stained sodium dodecyl sulfate (SDS) gels (Novex) (data not shown). Cell lysates were prepared by lysing approximately 106 vaccinia virus-infected HeLa/gp160Sf162 cells grown in the presence of different concentrations of AraC in 100 µl of 2x SDS-polyacrylamide gel electrophoresis (PAGE) sample buffer (Novex). Proteins in each lysate (2 µl) were resolved by electrophoresis through a 4 to 20% acrylamide Tris-glycine gel (Novex) and transferred to nitrocellulose by electroblotting in 20% methanol-1x transfer buffer (Novex). Proteins were detected by incubating the blot sequentially with an anti-gp120 antibody (ABI 13-107-100), alkaline phosphatase-labeled goat anti-rat IgG (Kirkegaard & Perry), and BCIP (5-bromo-4-chloro-3-indolylphosphate)-nitroblue tetrazolium (NBT) phosphatase substrate (Kirkegaard & Perry). An image for analysis of band intensity was acquired using a densitometry system (Bio-Rad model GS-700 Imaging Densitometer), and data were acquired and analyzed using the Bio-Rad Molecular Analyst software package, version 1.4.1. Equal areas of Western blot images were integrated to determine an adjusted volume of signal for the standard curve (see Fig. 6B, inset). Unknowns were compared to the standard curve to determine the amount of gp120 contained in each lane.
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FIG. 6. Cytosine arabinoside (AraC) treatment reduces cell surface expression of gp120. HeLa cells infected with HXB2 gp160-expressing vaccinia virus were cultured in the presence of various concentrations of cytosine arabinoside and analyzed for surface expression. (A) Western blot detection of biotinylated gp120. Cells infected with HXB2 gp160-expressing vaccinia virus in the presence of the indicated concentrations of AraC were treated with the membrane-impermeant biotinylation reagent sulfo-NHS-LC-biotin, lysed, and immunoprecipitated with NHS (right) or serum from HIV-infected subjects (HIVIG, left). Biotinylated proteins were resolved by SDS-PAGE, transferred to nitrocellulose, and detected with horseradish peroxidase-conjugated streptavidin. (B) Cells were prepared as described for panel A but were grown in glass chamber slides and were stained with a phycoerythrin-conjugated anti-gp120 monoclonal antibody.
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FIG. 1. Schematic diagram of fluorometric cell-cell fusion assay. HeLa cells infected for 20 h with recombinant vaccinia virus encoding HIV-1 gp160 were passively loaded with the fluorescent ß-lactamase substrate CCF2-AM and then were washed and incubated at 37°C with cells constitutively expressing ß-lactamase, CD4, and one or more coreceptors. Cell-cell fusion placed enzyme and substrate in the same compartment, resulting in cleavage of the substrate and a change in fluorescence emission from green to blue.
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FIG. 2. Appearance of cells. CCF2-loaded HeLa cells expressing gp120/gp41 from the Sf162 strain of HIV were incubated with SupT1/BlaM cells for 30 min at 37°C. Top, image of a representative coculture using Hoffman optics; bottom, image of the same field with epifluorescence. Adherent cells are HeLa, and small round cells are SupT1. The color of fluorescence indicates whether a given HeLa cell had (blue) or had not (green) fused with a SupT1 cell.
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FIG. 3. Cell-cell fusion is specific. CCF2-loaded HeLa cells expressing gp120/gp41 from HXB2 (X4) or Sf162 (R5) HIV strains were incubated with SupT1/CCR5/BlaM clone C6 in the absence or presence of inhibitors DP-178 (4 µM), SDF-1ß (10 µM), or AOP-RANTES (10 µM). Epifluorescence images were recorded after 2 h of incubation at 37°C.
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15 min (not shown). Thereafter, the number of individual blue cells increased, eventually giving rise to large blue syncytia as heterokaryons fused with neighboring HeLa cells. After 2 h, no additional blue cells were observed. Cell-cell fusion in this setting thus occurs rapidly, providing a method to assess gp120/gp41 function over a period of minutes to hours. Analysis of images of the same microscopic field collected every 2 min indicates that the lag time between membrane fusion and the appearance of blue color is approximately 6 min (data not shown), much shorter than the time required for all of the cells to reach maximal fusion.
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FIG. 4. Qualitative view of cell-cell fusion kinetics. CCF2-loaded HeLa cells expressing gp120/gp41 from the Sf162 HIV strain were incubated at 37°C with SupT1/CCR5/BlaM clone C6. Digital microscopic images of cells under epifluorescence were recorded at the times indicated.
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FIG. 7. Expression level of HXB2 gp160 influences fusion extent but not kinetics. HeLa cells infected with SF162 gp160-expressing vaccinia virus were cultured in the presence of various concentrations of cytosine arabinoside and analyzed for kinetics of cell-cell fusion.
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FIG. 8. The expression level of Sf162 gp160 influences fusion extent but not kinetics. HeLa cells infected with SF162 gp160-expressing vaccinia virus were cultured in the presence of various concentrations of cytosine arabinoside and analyzed for protein expression and fusion kinetics. (A) Western blot detection of HIV gp120 and gp160. (B) Densitometric quantification of gp120 in cell lysates. The Western blot shown in part A was scanned and the band intensities were quantified as described in Materials and Methods. The inset shows a quadratic fit of the standard curve used to calculate protein weights of unknowns. (C) Kinetics of cell-cell fusion for SF162 gp120/gp41-expressing HeLa cell cultures over 6 h. Each AraC concentration was tested in eight replicate wells. The blue/green fluorescence ratio was determined independently for each well, and then the mean and standard error of replicate wells were determined for each point. (D) Correlation between gp120 expression (x axis, data from Fig. 6B) and the extent of fusion (y axis, blue/green ratio, data from Fig. 6C) at three time points.
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FIG. 5. The extent of fusion can be measured accurately using a microplate fluorometer. CCF2-loaded HeLa cells expressing gp120/gp41 from the Sf162 HIV strain were incubated at 37°C with SupT1/CCR5/BlaM clone C6 in the presence of various concentrations of peptide DP-178. Each inhibitor concentration was tested in quadruplicate. After 2 h of incubation, the extent of fusion was assessed by image analysis and by measurement of green and blue fluorescence in a microplate fluorometer. (A) Images of wells incubated in indicated concentrations of DP-178. Six representative images are shown; four images were collected for every concentration of DP-178 tested. (B) Results of digital image analysis. The extent of fusion for each condition was assessed by measuring the percent of maximal blue pixels in each image (see Materials and Methods). (C) Results of fluorometry. Here, the extent of fusion is given by the ratio of blue to green fluorescence, with each point plotted as the mean ± 1 standard deviation. The IC50s for both B and C were determined by nonlinear curve fitting using a four-parameter logistic equation as described in Materials and Methods.
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With this validation in place, we analyzed the activity of a number of inhibitors that block various steps in the HIV entry process (data not shown). All entry inhibitors we have tested blocked cell-cell fusion in this assay. However, the IC50s of inhibitors for blocking the cell-cell fusion assay were typically 5- to 10-fold higher than their IC50s for blocking virus infectivity assays. This discrepancy may reflect the highly multivalent nature of cell-cell interactions and the influence of gravity in forcing the two cell populations together.
Quantitative analysis of cell-cell fusion kinetics. The assay just described can be used to quantitatively analyze the kinetics of cell-cell fusion simply by maintaining cells at 37°C in the fluorometer chamber and measuring blue and green fluorescence intensity at regular intervals over the course of several hours. In the following sections, we have used this analytical mode to explore the relationship between gp160 expression levels and cell-cell fusion kinetics.
gp120/gp41 cell surface density affects extent of cell-cell fusion but not kinetics. To date, no information has been reported addressing the relationship of gp120/gp41 expression level with fusogenic potential. Using recombinant vaccinia viruses to express gp120/gp41 gave us an opportunity to examine this relationship because transcriptional activity of the hybrid early-late vaccinia virus promoter driving gp160 can be regulated using cytosine arabinoside (AraC) (6). The inclusion of AraC during the overnight infection of HeLa cells with recombinant vaccinia virus caused a dose-dependent decrease in gp120 surface expression, as shown by two methods. HeLa cells infected with recombinant vaccinia virus expressing HXB2 gp160 and grown in various concentrations of AraC were analyzed using a cell surface protein biotinylation-immunoprecipitation approach (Fig. 6A) and by immunofluorescence staining with an anti-gp120 antibody (Fig. 6B). Figure 6A shows that AraC treatment caused a dose-dependent decrease in the overall surface expression of a 120-kDa protein immunoreactive with HIV immunoglobulin, suggesting that gp120 surface expression in the population is lower. This observation is extended in Fig. 6B, which shows that treatment with AraC reduced the cell-surface staining by a phycoerythrin-conjugated monoclonal antibody recognizing gp120. Untreated cells showed heterogeneous staining that reflects a distribution of expression levels, as expected. Even those cells expressing lower levels are apparently capable of participating in cell-cell fusion, as most of the cells in untreated cultures turned blue in the fusion assay (e.g., Fig. 3, top). Cells treated with 240 nM AraC similarly showed heterogeneous staining. However, most of the cells still reacted with the monoclonal antibody, but with generally lower levels than in untreated cells. This pattern is consistent with a general reduction of the expression level among most cells in the population and rules out the possibility that AraC treatment caused some cells to stop expressing gp120 altogether while having no effect on other cells in the population. We have observed a similar staining pattern with this antibody on cells expressing Sf162 gp120/gp41 from strain Sf162 (data not shown).
The functional consequences of reducing cell-surface expression levels of HXB2 gp120/gp41 were examined by monitoring the kinetics of cell-cell fusion in each population by reading blue and green fluorescence at 15-min intervals (Fig. 7). Cells not treated with AraC showed a lag time of about 1 h prior to the onset of fusion, after which they displayed a steady increase in blue fluorescence until reaching a plateau at about 150 min. Cells treated with a maximal dose of 10 µM AraC showed a slow, monotonic increase in blue fluorescence over the 6-h observation period. This slow increase in blue fluorescence is not due to cell-cell fusion, as no blue HeLa cells were visible by fluorescence microscopy even late in the time course (data not shown). Rather, this background fluorescence likely results from the slow uptake of small amounts of residual CCF2-AM into SupT1/BlaM cells, as evidenced by the microscopic appearance of small round cells displaying dim blue fluorescence (data not shown).
Cells treated with intermediate levels of AraC displayed fusion profiles that were qualitatively similar to one another and to untreated cells in that the duration of the lag phase, the time to half-maximal fusion, and the time to maximal fusion varied only slightly. Rather, these curves were distinguished from each other by reaching different maximal fusion (plateau) levels. After reaching the plateau, each group showed a slow, time-dependent increase in blue fluorescence, the slope of which was similar to that observed for background (no fusion) wells. AraC did not affect cell-cell fusion in control experiments in which gp120/gp41 was expressed by transfection instead of infection with vaccinia virus recombinants (data not shown), indicating that the compound does not block cell-cell fusion per se.
We extended our analysis of the relationship between gp120/gp41 expression and cell-cell fusion kinetics to include gp120/gp41 from HIV strain Sf162 (Fig. 8). HeLa cells were infected overnight with recombinant vaccinia virus encoding Sf162 gp160 in the presence of various concentrations of AraC and then were analyzed for both gp120/gp41 protein expression and cell-cell fusion kinetics. In this experiment, we used a Western blotting method to obtain a semiquantitative measurement of total gp120 expression in the cell populations (Fig. 8A). Densitometric quantification of the amount of gp120 in each lysate revealed that the dose relationship was linear between AraC concentrations of 63 and 750 nM (Fig. 8B).
Figure 8C shows the kinetics of cell-cell fusion in the populations of gp120/gp41-expressing HeLa cells treated with various concentrations of AraC. In this experiment, we included in one set of cultures a maximally inhibitory dose of DP-178 to prevent fusion completely. Untreated cells displayed a lag time of
20 min before the onset of fusion (increase in blue/green ratio), after which fusion continued rapidly until reaching a plateau at about 90 min. By contrast, wells receiving 2.5 µM DP-178 displayed a low-level monotonic increase in blue/green fluorescence over time. As with the previous experiment, this increase in blue fluorescence was not due to cell-cell fusion because no blue HeLa cells were visible in these wells (data not shown).
The fusion profiles of HeLa cells treated with different AraC concentrations were distributed between those of untreated cells and those of DP-178-treated cells. The fusion profile of cells treated with 10 µM AraC was indistinguishable from that of cells treated with DP-178, indicating that these cells failed to fuse, while the profile of cells treated with 62.5 nM AraC overlapped that of untreated cells. As was observed in Fig. 7, fusion profiles of cells treated with intermediate doses of AraC differed only in the plateau level, or extent of fusion. The lag time prior to fusion, the time to half-maximal fusion, and the time to plateau did not differ significantly among these cultures.
These observations are consistent with the idea that the extent of fusion is proportional to the expression levels of gp120/gp41 on the HeLa cells. We tested this idea by plotting the extent of fusion (blue/green ratio at a given time in Fig. 8C) for each condition as a function of the gp120 expression level as determined in Fig. 8B. For this analysis, we selected data for cells treated with concentrations of AraC yielding gp120 values in the linear part of the dose-response curve (Fig. 8A and B) and analyzed data at three different time points: t = 45 min (steepest part of the curve), t = 60 min (nearing maximal fusion), and t = 90 min (plateau). Strikingly, we observed a strong correlation between fusion extent (blue/green fluorescence ratio) and gp120 expression at each time point (Fig. 8D). Thus, reducing gp160 expression levels reduced the overall extent of fusion without changing fusion kinetics.
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We describe here a new cell-cell fusion assay that provides a significant advantage over the other assays in that cell-cell fusion can be monitored in nearly real-time using a fluorometric plate reader, which allows very high throughput relative to methods requiring image analysis. We have used this assay to study HIV gp120/gp41-driven fusion as a function of gp120/gp41 expression levels.
Interpreting cell-cell fusion kinetic profiles. We have demonstrated that in our cell-cell fusion assay the blue fluorescence signal (or blue/green fluorescence ratio) in a well is proportional to the number of cells fused in that well (Fig. 5). The kinetic profiles shown in Fig. 7 and 8C can therefore be understood to represent the number of cells fusing over time. A rising line indicates ongoing fusion, a flat line indicates no ongoing fusion. In all cases, we observed a sigmoidal curve consisting of a lag phase followed by a period of rapid cell-cell fusion and then a plateau. This pattern suggests that, within the time frame of the assay, we observe a single relatively synchronous round of cell-cell fusion. In our experience, the background-subtracted plateau level in these cultures, even those displaying a low plateau, does not change even after >4 h additional incubation (data not shown). Therefore, the magnitude of the plateau presumably reflects the final level of fusion achievable in a given condition.
gp120/gp41 expression levels dictate fusion efficiency but not fusion kinetics. A widely accepted model for gp120/gp41-driven membrane fusion (2, 34) holds that at least three kinetically distinct events must transpire before the onset of fusion: (i) gp120 binding to CD4 triggers a conformational change in gp120, (ii) gp120 binding to coreceptor triggers gp41 function, and (iii) a complex conformational transition in gp41 somehow fuses two distinct lipid bilayers together. We expected that the rate of the first two steps would depend, in part, on the abundance of the participating components. Thus, we predicted that changes in surface density of gp120/gp41 would translate into altered fusion kinetics, e.g., a change in the lag time prior to the onset of fusion.
Surprisingly, we found that changes in expression of gp120/gp41 had a negligible effect on the lag time and only a small effect on the time to reach half-maximal fusion. Such expression changes did, however, determine the extent, or plateau level, of fusion. Therefore in cultures with reduced gp120/gp41 expression, a smaller number of cells ultimately fused, but the cells that fused did so at the same rate as their higher-expressing counterparts. These observations indicate that gp120/gp41 abundance is not rate limiting per se. Rather, the abundance of gp120/gp41 determines whether fusion can or cannot occur.
This relationship between expression level and fusion extent, with no obvious difference in kinetics, was observed for two envelope glycoproteins from different viral strains (HXB2 and Sf162) using different coreceptors, indicating that coreceptor choice alone is not responsible for the effect. However, we did observe a significant difference between fusion kinetics driven by the two gp120/gp41 forms: Sf162-driven fusion consistently displayed a much shorter lag time than HXB2-driven fusion (compare Fig. 7 and 8C). The reason for the difference is not clear.
Implications for models of gp120/gp41 function. Our findings are consistent with the view that a certain threshold of gp120/gp41 expression is required to permit fusion. This conclusion is reminiscent of the threshold model of CCR5 function in HIV infectivity proposed by Kabat and coworkers (14, 24). They found that in the context of a fixed cellular CD4 level and gp120/gp41 density (on a population of virions), a threshold level of CCR5 expression is required to permit HIV infectivity. Further, they showed that low expression of one target cell component (e.g., CD4) can be compensated by overexpression of another (e.g., CCR5) (24). A number of studies support the idea that the extent of gp120/gp41:CD4:CoR complex formation is correlated with fusogenicity (10, 13, 18, 35, 36). The identification of preexisting complexes of CD4 and CCR5 indicates that in some cases gp120 need not be present to bring CD4 and coreceptor together (37), though in other cases gp120 participation does seem to be necessary (15). Collectively, these observations are consistent with a model in which complexes of CD4 and coreceptor (with or without the participation of gp120) form by mass action (24). Our findings indicate that the abundance of gp120/gp41 on the cell surface represents a third variable in the mass action equation.
Precisely defining the number of gp120/gp41:CD4:CoR complexes required to initiate membrane fusion is an essential but difficult goal. In addition to manipulating the absolute expression levels of individual components, it should also be possible to modulate the availability of individual components pharmacologically, e.g., by titrating in CCR5 inhibitors. By simultaneously measuring fusion kinetics, CCR5 receptor inhibitor occupancy, and surface expression levels of CD4 and gp120/gp41 (e.g., by quantitative immunofluorescence analysis), it may be possible to extend and strengthen the kind of mathematical relationships between CCR5 expression and fusion pioneered by Kabat and coworkers.
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