Lymphocyte kinetics: the interpretation of labelling data

Modelling naive T-cell homeostasis: consequences of heritable cellular lifespan during ageing

Within an individual, the population of mature naive T cells is maintained throughout life by both input from the thymus and homeostatic proliferation in the periphery. Here, we develop a mathematical model of this process of naive T-cell homeostasis, and use it to explore questions of lifespan, inheritance and receptor repertoire during ageing. By assuming lifespan is largely determined by a heritable trait reset on mitosis, we show that homeostatic proliferation leads naturally to a longer lived population with age. A plausible candidate for the heritable trait influencing lifespan is T-cell receptor affinity for major histocompatibility molecules loaded with self-peptides. Concurrently with increasing lifespan, receptor diversity decreases with age, thus quantitatively linking these two phenomena. These results depend on the thymus involuting with age so that homeostatic proliferation becomes the dominant mode of replacement of the naive T-cell repertoire.

Detection of UVBR-sensitive and -tolerant bacteria in surface waters of the western North Pacific

In order to evaluate the effects of solar ultraviolet radiation (UVR) on eubacterial community composition, we examined the tolerance of eubacterial phylotypes to solar UV radiation in surface waters of the western North Pacific during September 2005. Bromodeoxyuridine (BrdU), a halogenated thymine analogue, was used for labeling newly synthesized DNA in proliferating cells. Thymine dimers (TD), which are specifically formed in DNA by biologically harmful ultraviolet B radiation (UVBR; 280-315nm), were also applied to detect UVB damaged genomes selectively. PCR-denaturing gradient gel electrophoresis (PCR-DGGE) on the labeled samples revealed that UVBR-resistant cells showing active synthesis of DNA without accumulating TD, varied among phylotypes. In addition, UVBR-sensitive band positions with TD indicated inter-specific variations in sensitivity to UVBR. Phylogenetic analysis revealed that 12 DNA sequences were classified into eight phylogenetic groups: three Roseobacter, one Sphingomonas, two Gammaproteobacteria, one Actinobacteria, one Synechococcus, two Prochlorococcus, one plastid and one another group. A UVBR-resistant phylotype was affiliated to Erythrobacter sp. (previously designated as Sphingomonas sp.), which was distributed in warmer waters from the south of Oyashio to Kuroshio regions. A UVBR-sensitive phylotype was affiliated to Pseudoalteromonas sp. in Gammaproteobacteria. Dominant heterotrophic eubacteria were composed of both sensitive and resistant phylotypes. This is the first report on TD accumulated eubacterial phylotypes in oceanic surface waters.

In vivo dynamics of stable chronic lymphocytic leukemia inversely correlate with somatic hypermutation levels and suggest no major leukemic turnover in bone marrow

Although accumulating evidence indicates that chronic lymphocytic leukemia (CLL) is a disease with appreciable cell dynamics, it remains uncertain whether this also applies to patients with stable disease. In this study, (2)H(2)O was administered to a clinically homogeneous cohort of nine stable, untreated CLL patients. CLL dynamics in blood and bone marrow were determined and compared with normal B-cell dynamics in blood from five healthy individuals who underwent a similar (2)H(2)O labeling protocol. Average CLL turnover rates (0.08-0.35% of the clone per day) were approximately 2-fold lower than average B-cell turnover rates from healthy individuals (0.34-0.89%), whereas the rate at which labeled CLL cells in blood disappeared (0.00-0.39% of B cells per day) was approximately 10-fold lower compared with labeled B cells from healthy individuals (1.57-4.24% per day). Leukemic cell turnover variables inversely correlated with the level of somatic hypermutation of the CLL clone (IgVH mutations). Although CLL cells in bone marrow had a higher level of label enrichment than CLL cells in blood, no difference between proliferation rates and proapoptotic and antiapoptotic profiles of CLL cells from these compartments was observed. These data suggest that, in stable disease, there is a biological relationship between the degree of somatic hypermutation of the CLL clone and its dynamics in vivo. Furthermore, in contrast to lymph nodes, the bone marrow does not seem to be a major CLL proliferation site.

Central memory CD8+ T cells appear to have a shorter lifespan and reduced abundance as a function of HIV disease progression

Progressive HIV disease has been associated with loss of memory T cell responses to Ag. To better characterize and quantify long-lived memory T cells in vivo, we have refined an in vivo labeling technique to study the kinetics of phenotypically distinct, low-frequency CD8(+) T cell subpopulations in humans. HIV-negative subjects and antiretroviral-untreated HIV-infected subjects in varying stages of HIV disease were studied. After labeling the DNA of dividing cells with deuterated water ((2)H(2)O), (2)H-label incorporation and die-away kinetics were quantified using a highly sensitive FACS/mass spectrometric method. Two different populations of long-lived memory CD8(+) T cells were identified in HIV-negative subjects: CD8(+)CD45RA(-)CCR7(+)CD28(+) central memory (T(CM)) cells expressing IL-7Ralpha and CD8(+)CD45RA(+)CCR7(-)CD28(-) RA effector memory (T(EMRA)) cells expressing CD57. In pilot studies in HIV-infected subjects, T(CM) cells appeared to have a shorter half-life and reduced abundance, particularly in those with high viral loads; T(EMRA) cells, by contrast, retained a long half-life and accumulated in the face of progressive HIV disease. These data are consistent with the hypothesis that IL-7Ralpha(+) T(CM) cells represent true memory CD8(+) T cells, the loss of which may be responsible in part for the progressive loss of T cell memory function during progressive HIV infection.

Reduction of B cell turnover in chronic lymphocytic leukaemia

Whether chronic lymphocytic leukaemia (CLL) is a latent or a proliferating disease has been intensively debated. Whilst the dogma that CLL results from accumulation of dormant lymphocytes is supported by the unresponsiveness of leukaemic cells to antigens and polyclonal activators, recent in vivo kinetic measurements indicate that B lymphocytes do divide at significant rates in CLL. However, an important and still unanswered question is whether CLL cells proliferate faster or slower compared with their normal counterparts. This report addressed directly this point and compared B-cell kinetics in CLL subjects and healthy controls, using a pulse-chase approach based on incorporation of deuterium from 6,6-(2)H(2)-glucose into DNA. We confirmed that B cells proliferated at significant levels in CLL but found that the proliferation rates were reduced compared with healthy subjects (mean 0.47 vs. 1.31%/d respectively, P = 0.007), equivalent to an extended doubling time of circulating B cells (147 d vs. 53 d). In conclusion, CLL B cells proliferate at reduced levels compared with healthy controls. CLL is thus characterized by an aberrant B-cell kinetics with a decrease in cell turnover, an observation that may impact on elaboration of efficient therapeutic strategies.

Sparse production but preferential incorporation of recently produced naive T cells in the human peripheral pool

In mice, recent thymic emigrants (RTEs) make up a large part of the naïve T cell pool and have been suggested to be a distinct short-lived pool. In humans, however, the life span and number of RTEs are unknown. Although (2)H(2)O labeling in young mice showed high thymic-dependent daily naïve T cell production, long term up- and down-labeling with (2)H(2)O in human adults revealed a low daily production of naïve T cells. Using mathematical modeling, we estimated human naïve CD4 and CD8 T cell half-lives of 4.2 and 6.5 years, respectively, whereas memory CD4 and CD8 T cells had half-lives of 0.4 and 0.7 year. The estimated half-life of recently produced naïve T cells was much longer than these average half-lives. Thus, our data are incompatible with a substantial short-lived RTE population in human adults and suggest that the few naïve T cells that are newly produced are preferentially incorporated in the peripheral pool.

Emphasis on cell turnover in two hosts infected by bovine leukemia virus: a rationale for host susceptibility to disease

Bovine leukemia virus (BLV) is a deltaretrovirus that infects and induces accumulation of B-lymphocytes in the peripheral blood and lymphoid tissues of cattle, leading to leukemia/lymphoma. BLV can also be experimentally transmitted to sheep, in which disease appears earlier and at higher frequencies. Abnormal accumulation of leukemic B-lymphocytes results from an alteration of different parameters that include cell proliferation and death as well as migration to lymphoid tissues. Interestingly, B lymphocyte turnover is increased in BLV-infected sheep but reduced in cattle, revealing a potential relationship between cell kinetics and disease progression.

Dynamics of T- and B-lymphocyte turnover in a natural host of simian immunodeficiency virus

Increased lymphocyte turnover is a hallmark of pathogenic lentiviral infection. To investigate perturbations in lymphocyte dynamics in natural hosts with nonpathogenic simian immunodeficiency virus (SIV) infection, the nucleoside analog bromodeoxyuridine (BrdU) was administered to six naturally SIV-infected and five SIV-negative sooty mangabeys. As a measure of lymphocyte turnover, we estimated the mean death rate by fitting a mathematical model to the fraction of BrdU-labeled cells during a 2-week labeling and a median 10-week delabeling period. Despite significantly lower total T- and B-lymphocyte counts in SIV-infected sooty mangabeys than in SIV-negative mangabeys, the turnover rate of B lymphocytes and CD4(+) and CD8(+) T lymphocytes was not increased in the SIV-infected animals. A small, rapidly proliferating CD45RA(+) memory subset and a large, slower-proliferating CD45RA(-) central memory subset of CD4(+) T lymphocytes identified in the peripheral blood of sooty mangabeys also did not show evidence of increased turnover in the context of SIV infection. Independently of SIV infection, the turnover of CD4(+) T lymphocytes in sooty mangabeys was significantly higher (P < 0.01) than that of CD8(+) T lymphocytes, a finding hitherto not reported in rhesus macaques or humans. The absence of aberrant T-lymphocyte turnover along with an inherently high rate of CD4(+) T-lymphocyte turnover may help to preserve the pool of central memory CD4(+) T lymphocytes in viremic SIV-infected sooty mangabeys and protect against progression to AIDS.

High incidence of non-random template strand segregation and asymmetric fate determination in dividing stem cells and their progeny

Decades ago, the “immortal strand hypothesis” was proposed as a means by which stem cells might limit acquiring mutations that could give rise to cancer, while continuing to proliferate for the life of an organism. Originally based on observations in embryonic cells, and later studied in terms of stem cell self-renewal, this hypothesis has remained largely unaccepted because of few additional reports, the rarity of the cells displaying template strand segregation, and alternative interpretations of experiments involving single labels or different types of labels to follow template strands. Using sequential pulses of halogenated thymidine analogs (bromodeoxyuridine [BrdU], chlorodeoxyuridine [CldU], and iododeoxyuridine [IdU]), and analyzing stem cell progeny during induced regeneration in vivo, we observed extraordinarily high frequencies of segregation of older and younger template strands during a period of proliferative expansion of muscle stem cells. Furthermore, template strand co-segregation was strongly associated with asymmetric cell divisions yielding daughters with divergent fates. Daughter cells inheriting the older templates retained the more immature phenotype, whereas daughters inheriting the newer templates acquired a more differentiated phenotype. These data provide compelling evidence of template strand co-segregation based on template age and associated with cell fate determination, suggest that template strand age is monitored during stem cell lineage progression, and raise important caveats for the interpretation of label-retaining cells.

For each chromosome, the complementary DNA strands consist of a “younger” strand synthesized during the most recent round of DNA replication and an “older” strand synthesized during a previous cell division. When the strands separate to serve as templates for DNA synthesis during a subsequent round of replication, the two sister chromatids formed thus differ in terms of the template strand age. The “immortal strand hypothesis” predicts that a stem cell is capable of distinguishing between chromatids based on template age: when it divides, the self-renewing daughter will inherit the chromatids with the older templates, whereas the daughter destined to differentiate will inherit those with the newer templates. However, in vivo evidence in support of this hypothesis has been sparse. By labeling newly synthesized DNA in sequential divisions of stem/progenitors during muscle regeneration, we observed that almost half of the dividing cells sorted their chromatids based on template age. The more stem-like daughter inherited chromatids with older templates, and the more differentiated daughter inherited chromatids with younger templates. We propose that this phenomenon is a characteristic of asymmetrically dividing stem cells and their progeny.

Analysis of the segregation of older and younger DNA template strands in proliferating muscle stem cells provides compelling evidence of co-segregation based on template age and associated with cell fate determination.

Determining thymic output quantitatively: using models to interpret experimental T-cell receptor excision circle (TREC) data

T cells develop in the thymus and then are exported to the periphery. As one ages, the lymphoid mass of the thymus decreases, and a concomitant decrease in the ability to produce new T cells results. Human immunodeficiency virus (HIV) infects CD4(+) T cells and, hence, can also affect thymic function. Here we discuss experimental techniques and mathematical models that aim to quantify the rate of thymic export. We focus on a recent technique involving the quantification of T-cell receptor excision circles (TRECs). We discuss how proper interpretation of TREC data necessitates the critical development of appropriate mathematical models. We review the theory for interpretation of TREC data during aging, HIV infection, and anti-retroviral treatment. Also, we show how TRECs can be used to accurately quantify thymic output in the context of thymectomy experiments. We show that mathematical models are not only useful but absolutely necessary for these analyses. As such, they should be taken as just another tool in the immunologist's arsenal.

In vivo T lymphocyte dynamics in humans and the impact of human T-lymphotropic virus 1 infection

Human T-lymphotropic virus type 1 (HTLV-1) is a persistent CD4+ T-lymphotropic retrovirus. Most HTLV-1-infected individuals remain asymptomatic, but a proportion develop adult T cell leukemia or inflammatory disease. It is not fully understood how HTLV-1 persists despite a strong immune response or what determines the risk of HTLV-1-associated diseases. Until recently, it has been difficult to quantify lymphocyte kinetics in humans in vivo. Here, we used deuterated glucose labeling to quantify in vivo lymphocyte dynamics in HTLV-1-infected individuals. We then used these results to address four questions. (i) What is the impact of HTLV-1 infection on lymphocyte dynamics? (ii) How does HTLV-1 persist? (iii) What is the extent of HTLV-1 expression in vivo? (iv) What features of lymphocyte kinetics are associated with HTLV-1-associated myelopathy/tropical spastic paraparesis? We found that CD4+CD45RO+ and CD8+CD45RO+ T lymphocyte proliferation was elevated in HTLV-1-infected subjects compared with controls, with an extra 10(12) lymphocytes produced per year in an HTLV-1-infected subject. The in vivo proliferation rate of CD4+CD45RO+ cells also correlated with ex vivo viral expression. Finally, the inflammatory disease HTLV-1-associated myelopathy/tropical spastic paraparesis was associated with significantly increased CD4+CD45RO+ cell proliferation. We suggest that there is persistent viral gene expression in vivo, which is necessary for the maintenance of the proviral load and determines HTLV-1-associated myelopathy/tropical spastic paraparesis risk.

Dynamics of CD4+ T cells in HIV-1 infection

Mathematical modeling is becoming established in the immunologist's toolbox as a method to gain insight into the dynamics of the immune response and its components. No more so than in the case of the study of human immunodeficiency virus (HIV) infection, where earlier work on the viral dynamics brought significant advances in our understanding of HIV replication and evolution. Here, I review different areas of the study of the dynamics of CD4+ T cells in the setting of HIV, where modeling played important and diverse roles in helping us understand CD4+ T-cell homeostasis and the effect of HIV infection. As the experimental techniques become more accurate and quantitative, modeling should play a more important part in both experimental design and data analysis.

Quantification of T-cell dynamics: from telomeres to DNA labeling

Immunology has traditionally been a qualitative science describing the cellular and molecular components of the immune system and their functions. Only quite recently have new experimental techniques paved the way for a more quantitative approach of immunology. Lymphocyte telomere lengths have been measured to get insights into the proliferation rate of different lymphocyte subsets, T-cell receptor excision circles have been used to quantify the daily output of new T cells from the thymus, and bromodeoxyuridine and stable isotope labeling have been applied to measure proliferation and death rates of naive and memory lymphocytes. A common problem of the above techniques is the translation of the resulting data into relevant parameters, such as the typical division and death rate of the different lymphocyte populations. Theoretical immunology has contributed significantly to the interpretation of such quantitative experimental data, thereby resolving diverse controversies and, most importantly, has suggested novel experiments, allowing for more conclusive and quantitative interpretations. In this article, we review a variety of different models that have been used to interpret data on lymphocyte kinetics in healthy human subjects and discuss their contributions and limitations.

Actively growing bacteria in the inland sea of Japan, identified by combined bromodeoxyuridine immunocapture and denaturing gradient gel electrophoresis

A fundamental question in microbial oceanography concerns the relationship between prokaryote diversity and biogeochemical function in an ecosystem context. We combined bromodeoxyuridine (BrdU) magnetic bead immunocapture and PCR-denaturing gradient gel electrophoresis (BUMP-DGGE) to examine phylotype-specific growth in natural marine assemblages. We also examined a broad range of marine bacterial isolates to determine their abilities to incorporate BrdU in order to test the validity of the method for application to diverse marine assemblages. We found that 27 of 29 isolates belonging to different taxa could incorporate BrdU. BUMP-DGGE analysis revealed phylogenetic affiliations of DNA-synthesizing, presumably actively growing bacteria across a eutrophic to mesotrophic transect in the Inland Sea of Japan. We found that the BrdU-incorporating (growing) communities were substantially different from the total communities. The majority (34/56) of phylotypes incorporated BrdU and were presumably growing, and these phylotypes comprised 10 alphaproteobacteria, 1 betaproteobacterium, 11 gammaproteobacteria, 11 Cytophaga-Flavobacterium-Bacteroides group bacteria, and 1 unclassified bacterium. All BrdU-responsive alphaproteobacteria were members of the Rhodobacterales, suggesting that such bacteria were dominant in the growing alphaproteobacterial populations in our samples. The BrdU-responsive gammaproteobacteria belonged to the Oceanospirillales, the SAR86 cluster, the Pseudomonadales, the Alteromonadales, and the Vibrionales. Thus, contemporaneous cooccurrence of diverse actively growing bacterial taxa was a consistent pattern in our biogeochemically varied study area.

Long-term effects of perinatal nutrition on T lymphocyte kinetics in young Gambian men

BACKGROUND

Nutritional status is highly dependent on season in countries such as The Gambia. In a rural Gambian setting, individuals born during periods of seasonal nutritional deprivation ("hungry seasons") are susceptible to mortality from infectious diseases in adult life.

OBJECTIVE

We investigated the hypothesis that impaired immunocompetence in those born in the hungry season results from an underlying defect in immunologic memory, similar to the immunosenescence of old age, which is likely to be reflected in the phenotype and kinetics of T lymphocytes in young adults.

DESIGN

T cell phenotype in terms of CD3, CD4, CD8, CD45RA, and CD45R0 expression and in vivo dynamics measured by stable isotope labeling of T cell subsets combined with gas chromatography-mass spectrometry and frequency of T cell receptor excision circles were measured in 25 young (18-24-y-old) Gambian men. Thirteen of these 25 men were exposed to perinatal malnutrition as defined by birth season and birth weight.

RESULTS

In persons born in the hungry season with low birth weight, no differences in the proportions of memory or naive T cells were found. Kinetic analysis showed higher proliferation rates in memory (CD45R0(+)) subsets of T cells than in naïve (CD45R0(-)) cells, which is consistent with previous studies, but no evidence was found for an effect of birth weight or season on T lymphocyte proliferation and disappearance rates. No significant correlations were found between in vivo T cell kinetics and frequency of T cell receptor excision circles. Only absolute numbers of granulocytes were elevated in those born in the nutritionally deprived season.

CONCLUSION

In healthy young Gambian men, T lymphocyte homeostasis is extremely robust regardless of perinatal nutritional compromise.

Cell cycle quiescence of early lymphoid progenitors in adult bone marrow

Lymphocyte production in bone marrow (BM) requires substantial cell division, but the relationship between largely quiescent stem cells and dividing lymphoid progenitors is poorly understood. Therefore, the proliferation and cell cycle status of murine hematopoietic progenitors that have just initiated the lymphoid differentiation program represented the focus of this study. Continuous bromo-2'-deoxyuridine (BrdU) incorporation and DNA/RNA analysis by flow cytometry revealed that a surprisingly large fraction of RAG-1(+)c-kit(hi) early lymphoid progenitors (ELPs) and RAG-1(+)c-kit(lo) pro-lymphocytes (Pro-Ls) in adult BM were in cell cycle quiescence. In contrast, their counterparts in 14-day fetal liver actively proliferated. Indeed, the growth fraction (cells in G(1)-S-G(2)-M phases) of fetal ELPs was on average 80% versus only 30% for adult ELPs. After 5-fluorouracil treatment, as many as 60% of the adult ELP-enriched population was in G(1)-S-G(2)-M and 34% incorporated BrdU in 6 hours. Transcripts for Bcl-2, p21Cip1/Waf1, and p27 Kip1 cell cycle regulatory genes correlated inversely well with proliferative activity. Interestingly, adult lymphoid progenitors in rebound had the high potential for B lymphopoiesis in culture typical of their fetal counterparts. Thus, lymphocyte production is sustained during adult life by quiescent primitive progenitors that divide intermittently. Some, but not all, aspects of the fetal differentiation program are reacquired after chemotherapy.

Quantifying lymphocyte kinetics in vivo using carboxyfluorescein diacetate succinimidyl ester (CFSE)

The cytoplasmic dye carboxyfluorescein diacetate succinimidyl ester (CFSE) is used to quantify cell kinetics. It is particularly important in studies of lymphocyte homeostasis where its labelling of cells irrespective of their stage in the cell cycle makes it preferable to deuterated glucose and BrdU, which only label dividing cells and thus produce unrepresentative results. In the past, experiments have been limited by the need to obtain a clear separation of CFSE peaks forcing scientists to adopt a strategy of in vitro labelling of cells followed by their injection into the host. Here we develop a framework for analysis of in vivo CFSE labelling data. This enables us to estimate the rate of proliferation and death of lymphocytes in situ, and thus represents a considerable advance over current procedures. We illustrate this approach using in vivo CFSE labelling of B lymphocytes in sheep.

Analysis of airway secretions in a model of sulfur dioxide induced chronic obstructive pulmonary disease (COPD)

Hypersecretion and chronic phlegm are major symptoms of chronic obstructive pulmonary disease (COPD) but animal models of COPD with a defined functional hypersecretion have not been established so far. To identify an animal model of combined morphological signs of airway inflammation and functional hypersecretion, rats were continuously exposed to different levels of sulfur dioxide (SO2, 5 ppm, 10 ppm, 20 ppm, 40 ppm, 80 ppm) for 3 (short-term) or 20–25 (long-term) days. Histology revealed a dose-dependent increase in edema formation and inflammatory cell infiltration in short-term-exposed animals. The submucosal edema was replaced by fibrosis after long-term-exposure. The basal secretory activity was only significantly increased in the 20 ppm group. Also, stimulated secretion was significantly increased only after exposure to 20 ppm. BrdU-assays and AgNOR-analysis demonstrated cellular metaplasia and glandular hypertrophy rather than hyperplasia as the underlying morphological correlate of the hypersecretion.

In summary, SO2-exposure can lead to characteristic airway remodeling and changes in mucus secretion in rats. As only long-term exposure to 20 ppm leads to a combination of hypersecretion and airway inflammation, only this mode of exposure should be used to mimic human COPD. Concentrations less or higher than 20 ppm or short term exposure do not induce the respiratory symptom of hypersecretion. The present model may be used to characterize the effects of new compounds on mucus secretion in the background of experimental COPD.

Ecological and evolutionary principles in immunology

Experimental immunology has given rise to detailed insights into how immune cells react to infectious agents and fight pathogens. At the same time, however, the interplay between infectious agents and immune responses can be viewed as an ecological system in vivo. This is characterized by complex interactions between species of immune cells and populations of pathogens. This review discusses how an understanding of the immune system can be aided by the application of ecological and evolutionary principles: competition, predation, and the evolution of viruses in vivo. These concepts can shed light onto important immunological concepts such as the correlates of efficient virus control, immunodominance, the relationship between viral evolution and the development of pathology, as well as the ability of the immune system to control immunosuppressive infections.

Reduced cell turnover in lymphocytic monkeys infected by human T-lymphotropic virus type 1

Understanding cell dynamics in animal models have implications for therapeutic strategies elaborated against leukemia in human. Quantification of the cell turnover in closely related primate systems is particularly important for rare and aggressive forms of human cancers, such as adult T-cell leukemia. For this purpose, we have measured the death and proliferation rates of the CD4+ T lymphocyte population in squirrel monkeys (Saimiri sciureus) infected by human T-lymphotropic virus type 1 (HTLV-1). The kinetics of in vivo bromodeoxyuridine labeling revealed no modulation of the cell turnover in HTLV-1-infected monkeys with normal CD4 cell counts. In contrast, a substantial decrease in the proliferation rate of the CD4+ T population was observed in lymphocytic monkeys (e.g. characterized by excessive proportions of CD4+ T lymphocytes and by the presence of abnormal flower-like cells). Unexpectedly, onset of HTLV-associated leukemia thus occurs in the absence of increased CD4+ T-cell proliferation. This dynamics significantly differs from the generalized activation of the T-cell turnover induced by other primate lymphotropic viruses like HIV and SIV.

Measuring lymphocyte kinetics in tropical field settings

Studies involving in-vivo labelling of lymphocyte DNA with 6,6-2H2-glucose to track T-cell turnover have contributed to understanding lymphocyte homeostasis in health and disease. Applying such studies in tropical settings (where diseases that affect T-cells are prevalent) requires protocol modifications including non-intravenous label administration, applicability in outpatient facilities, and T-cell sorting methods independent of a fluorescence activated cell sorter (FACS). Such protocols were validated in UK pilot studies and applied in The Gambia. Healthy adult subjects (n=12) were recruited from three Gambian villages. 6,6-2H2-glucose was administered orally in an outpatient clinic and T-cell subpopulations isolated from peripheral blood using plastic adherence, and Multisorttrade mark magnetic cell sorting (MACStrade mark) to obtain CD8+CD45R0+, CD8-CD45R0+, CD8+CD45R0- and CD8-CD45R0- subsets. To achieve high cell purity and yield, CD45R0- cells were reincubated with CD45R0 beads. T-cell proliferation and disappearance were quantified using gas chromatography mass spectrometry. Results were consistent with those of other studies showing higher turnover in memory (CD45R0+) than in naïve (CD45R0-) T-cell subsets, and an association between recent cell proliferation and susceptibility to cell death. Cell kinetics research is applicable in tropical settings, and can contribute to further understanding the regulation of adaptive immunity in response to infections and other insults.

Cellular immune response to HTLV-1

There is strong evidence at the individual level and the population level that an efficient cytotoxic T lymphocyte (CTL) response to HTLV-1 limits the proviral load and the risk of associated inflammatory diseases such as HAM/TSP. This evidence comes from host population genetics, viral genetics, DNA expression microarrays and assays of lymphocyte function. However, until now there has been no satisfactory and rigorous means to define or to measure the efficiency of an antiviral CTL response. Recently, methods have been developed to quantify lymphocyte turnover rates in vivo and the efficiency of anti-HTLV-1 CTLs ex vivo. Data from these new techniques appear to substantiate the conclusion that variation between individual hosts in the rate at which a single CTL kills HTLV-1-infected lymphocytes is an important determinant, perhaps the decisive determinant, of the proviral load and the risk of HAM/TSP. With these experimental data, it is becoming possible to refine, parameterize and test mathematical models of the immune control of HTLV-1, which are a necessary part of an understanding of this complex dynamic system.

The role of models in understanding CD8+ T-cell memory

Immunological memory - the ability to 'remember' previously encountered pathogens and respond faster on re-exposure - is a central feature of the immune response of vertebrates. We outline how mathematical models have contributed to our understanding of CD8(+) T-cell memory. Together with experimental data, models have helped to quantitatively describe and to further our understanding of both the generation of memory after infection with a pathogen and the maintenance of this memory throughout the life of an individual.

Quantifying cell turnover using CFSE data

The CFSE dye dilution assay is widely used to determine the number of divisions a given CFSE labelled cell has undergone in vitro and in vivo. In this paper, we consider how the data obtained with the use of CFSE (CFSE data) can be used to estimate the parameters determining cell division and death. For a homogeneous cell population (i.e., a population with the parameters for cell division and death being independent of time and the number of divisions cells have undergone), we consider a specific biologically based "Smith-Martin" model of cell turnover and analyze three different techniques for estimation of its parameters: direct fitting, indirect fitting and rescaling method. We find that using only CFSE data, the duration of the division phase (i.e., approximately the S+G2+M phase of the cell cycle) can be estimated with the use of either technique. In some cases, the average division or cell cycle time can be estimated using the direct fitting of the model solution to the data or by using the Gett-Hodgkin method [Gett A. and Hodgkin, P. 2000. A cellular calculus for signal integration by T cells. Nat. Immunol. 1:239-244]. Estimation of the death rates during commitment to division (i.e., approximately the G1 phase of the cell cycle) and during the division phase may not be feasible with the use of only CFSE data. We propose that measuring an additional parameter, the fraction of cells in division, may allow estimation of all model parameters including the death rates during different stages of the cell cycle.

B-cell kinetics in humans: rapid turnover of peripheral blood memory cells

Information about the kinetic behavior and lifespan of lymphocytes is crucial to understanding the mechanisms that regulate processes such as immunologic memory. We have used in vivo labeling of dividing cells with 6,6-(2)H(2)-glucose, combined with cell sorting and gas-chromatography-mass spectrometry for deuterium enrichment, in order to analyze the kinetics of human total, naive, or memory B lymphocytes, separated from peripheral blood using monoclonal antibodies. We show that total blood B cells of young adults divide at an average rate of 1.9% (+/-1.0%) per day and at a similar though slightly slower rate, 1.5% (+/-1.3%) per day, in the elderly. Separation of naive and memory B cells according to expression of CD27 indicates that naive peripheral blood B cells divide slowly (0.46% per day), while memory cells proliferate more rapidly (2.66% per day). These data are compatible with the view that B-cell memory may be maintained by clones of proliferating B cells.

The rescaling method for quantifying the turnover of cell populations

The dynamic nature of immune responses requires the development of appropriate experimental and theoretical tools to quantitatively estimate the division and death rates which determine the turnover of immune cells. A number of papers have used experimental data from BrdU and D-glucose labels together with a simple random birth-death model to quantify the turnover of immune cells focusing on HIV/SIV infections [Mohri et al. 279 (1998) 1223-1227, Hellerstein et al. 5 (1999) 83-89, Bonhoeffer et al. 164 (2000) 5049-5054, Mohri et al. 87 (2001) 1277-1287]. We show how uncertainties in the assumptions of the random birth-death model may lead to substantial errors in the parameters estimated. We then show how more accurate estimates can be obtained from the more recent CFSE data which allow to track the number of divisions each cell has undergone. Specifically, we: (i) describe a general stage-structured model of cell division where the probabilities of division and death are functions of time since the previous division; (ii) develop a rescaling method to identify invariant parameters (i.e. the ones that are independent of the specific functions describing division and death); (iii) show how these invariant parameters can be estimated, and (iv) illustrate this technique by applying it to CFSE data taken from the literature.

Human T-lymphotropic virus type 1 (HTLV-1): persistence and immune control

The human retrovirus human T-lymphotropic virus type 1 (HTLV-1) is associated with two distinct types of disease: the malignancy known as adult T-cell leukemia and a range of chronic inflammatory conditions including the central nervous system disease HTLV-1-associated myelopathy/tropical spastic paraparesis (HAM/TSP). Until recently, it was believed that HTLV-1 was largely latent in vivo. However, evidence from a number of types of experiments shows that HTLV-1 persistently expresses its genes, and that the "set point" of an individual's proviral load of HTLV-1 is mainly determined by the efficiency of that individual's cellular immune response to the virus. These conclusions have two main consequences. First, HTLV-1 may be vulnerable to antiretroviral drug therapy or immunotherapy. Second, HTLV-1 infection has become a useful system to analyze the determinants of the efficiency of the antiviral immune response.

Human population-based identification of CD4(+) T-cell peptide epitope determinants

A human cell-based method to identify functional CD4(+) T-cell epitopes in any protein has been developed. Proteins are tested as synthetic 15-mer peptides offset by three amino acids. Percent responses within a large donor population are tabulated for each peptide in the set. Peptide epitope regions are designated by difference in response frequency from the overall background response rate for the compiled dataset. Epitope peptide responses are reproducible, with a median coefficient of variance of 21% when tested on multiple random-donor sets. The overall average response rate within the dataset increases with increasing putative human population antigenic exposure to a given protein. The background rate was high for HPV16 E6, and was low for human-derived cytokine proteins. The assay identified recall epitope regions within the donor population for the protein staphylokinase. For an industrial protease with minimal presumed population exposure, immunodominant epitope peptides were identified that were found to bind promiscuously to many HLA class II molecules in vitro. The peptide epitope regions identified in presumably unexposed donors represent a subset of the total recall epitopes. Finally, as a negative control, the assay found no peptide epitope regions in human beta2-microglobulin. This method identifies functional CD4(+) T-cell epitopes in any protein without pre-selection for HLA class II, suggests whether a donor population is pre-exposed to a protein of interest, and does not require sensitized donors for in vitro testing.

Reduced cell turnover in bovine leukemia virus-infected, persistently lymphocytotic cattle

Although nucleotide analogs like bromodeoxyuridine have been extensively used to estimate cell proliferation in vivo, precise dynamic parameters are scarce essentially because of the lack of adequate mathematical models. Besides recent developments on T cell dynamics, the turnover rates of B lymphocytes are largely unknown particularly in the context of a virally induced pathological disorder. Here, we aim to resolve this issue by determining the rates of cell proliferation and death during the chronic stage of the bovine leukemia virus (BLV) infection, called bovine persistent lymphocytosis (PL). Our methodology is based on direct intravenous injection of bromodeoxyuridine in association with subsequent flow cytometry. By this in vivo approach, we show that the death rate of PL B lymphocytes is significantly reduced (average death rate, 0.057 day(-1) versus 0.156 day(-1) in the asymptomatic controls). Concomitantly, proliferation of the PL cells is also significantly restricted compared to the controls (average proliferation rate, 0.0046 day(-1) versus 0.0085 day(-1)). We conclude that bovine PL is characterized by a decreased cell turnover resulting both from a reduction of cell death and an overall impairment of proliferation. The cell dynamic parameters differ from those measured in sheep, an experimental model for BLV infection. Finally, cells expressing p24 major capsid protein ex vivo were not BrdU positive, suggesting an immune selection against proliferating virus-positive lymphocytes. Based on a comparative leukemia approach, these observations might help to understand cell dynamics during other lymphoproliferative disease such as chronic lymphocytic leukemia or human T-cell lymphotropic virus-induced adult T-cell leukemia in humans.

An introduction to lymphocyte and viral dynamics: the power and limitations of mathematical analysis

Mathematics is a useful tool in the analysis and understanding of population dynamic aspects of the immune response. However, the power of mathematical modelling in immunology is frequently limited by the shortage of experimental data. Here, we review the contribution of mathematics to two areas of immunology. We highlight the problem caused by lack of knowledge of the system, which can greatly restrict the use of mathematics and lead to errors caused by model-specific results.

Estimating average cellular turnover from 5-bromo-2'-deoxyuridine (BrdU) measurements

Cellular turnover rates in the immune system can be determined by labelling dividing cells with 5-bromo-2'-deoxyuridine (BrdU) or deuterated glucose ((2)H-glucose). To estimate the turnover rate from such measurements one has to fit a particular mathematical model to the data. The biological assumptions underlying various models developed for this purpose are controversial. Here, we fit a series of different models to BrdU data on CD4(+) T cells from SIV(-) and SIV(+) rhesus macaques. We first show that the parameter estimates obtained using these models depend strongly on the details of the model. To resolve this lack of generality we introduce a new parameter for each model, the 'average turnover rate', defined as the cellular death rate averaged over all subpopulations in the model. We show that very different models yield similar estimates of the average turnover rate, i.e. ca. 1% day(-1) in uninfected monkeys and ca. 2% day(-1) in SIV-infected monkeys. Thus, we show that one can use BrdU data from a possibly heterogeneous population of cells to estimate the average turnover rate of that population in a robust manner.

Turnover rates of B cells, T cells, and NK cells in simian immunodeficiency virus-infected and uninfected rhesus macaques

We determined average cellular turnover rates by fitting mathematical models to 5-bromo-2'-deoxyuridine measurements in SIV-infected and uninfected rhesus macaques. The daily turnover rates of CD4(+) T cells, CD4(-) T cells, CD20(+) B cells, and CD16(+) NK cells in normal uninfected rhesus macaques were 1, 1, 2, and 2%, respectively. Daily turnover rates of CD45RA(-) memory T cells were 1%, and those of CD45RA(+) naive T cells were 0.5% for CD4(+) T cells and approximately 1% for CD4(-)CD45RA(+) T cells. In SIV-infected monkeys with high viral loads, the turnover rates of T cells were increased approximately 2-fold, and that of memory T cells approximately 3-fold. The turnover of CD4(+)CD45RA(+) naive T cells was increased 2-fold, whereas that of CD4(-)CD45RA(+) naive T cells was marginally increased. B cells and NK cells also had increased turnover in SIV-infected macaques, averaging 3 and 2.5% per day, respectively. For all cell types studied here the daily turnover rate increased with the decrease of the CD4 count that accompanied SIV infection. As a consequence, the turnover rates of CD4(+) T cells, CD4(-) T cells, B cells, and NK cells within each monkey are strongly correlated. This suggests that the cellular turnover of different lymphocyte populations is governed by a similar process which one could summarize as "generalized immune activation." Because the viral load and the CD4 T cell count are negatively correlated we cannot determine which of the two plays the most important role in this generalized immune activation.