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* Faculty of Life Sciences, Bar-Ilan University, Ramat-Gan, Israel;
Molecular Immunology Group, National Institute of Immunology, Aruna Asaf Ali Marg, New Delhi, India; and
Molecular Immunogenetics Section, Laboratory of Immunology, National Institute of Allergy and Infectious Diseases, National Institutes of Health, Bethesda, MD 20892
| Abstract |
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| Introduction |
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The dynamics of Ig gene diversification in humans and mice have been studied in detail, in experiments, by mathematical models of cell population dynamics (18, 19, 20, 21, 22, 23, 24, 25, 26), or by bioinformatical methods for analyzing the hypermutation process (27, 28, 29, 30, 31, 32, 33, 34). In contrast, little is known about B lymphocyte population dynamics in species such as rabbits or chickens. Although GC dynamics during the humoral immune response may be similar to that in mice, an assumption that is currently under study, the population dynamics of B cells undergoing primary diversification through gene conversion are probably very different from the clonal dynamics that characterize murine or human B cell development.
Lineage trees of mutant B lymphocytes often serve to qualitatively illustrate claims concerning the dynamics of affinity maturation (35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46). The generation of trees or dendrograms visualizing lineage relationships of B cell mutants in GCs has been used to confirm the role of the GC as the location of somatic hypermutation (35, 36, 37), to identify lineage relationships between cells from independent GCs (40) or different tissues (41), and to study affinity maturation in various disease situations (42, 43, 44) or following vaccination (45, 46). However, no quantitative methods for analyzing mutational lineage trees have existed before our work.
We have taken the use of mutational lineage trees one step further, by developing a quantitative algorithm, based on terms of mathematical graph theory, for quantifying the shape properties of mutational lineage trees (47). We have shown that quantitative information about the dynamics of hypermutation and Ag-driven clonal selection during the humoral immune response is indeed contained in mutational lineage tree shapes deduced from responding clones. Differences in the hypermutation and selection processes, between tissues, experimental conditions, or disease situations, can be studied using our method (48, 49). Tree shape analysis thus provides a quantitative means of elucidating the dynamics of diversification processes based on hypermutation and gene conversion.
In the present study, we have applied our tree shape analysis method to lineage trees from Ig primary and secondary diversification processes in rabbits and chickens. These trees are, in general, more complex than the classical lineage trees published. Many more base changes are involved, in contrast to the relatively small numbers (order of 10) of mutations per sequence in data from murine or human GCs. Blocks of base changes can often, but not always, be identified as resulting from gene conversion, with the donor V gene identifiable in most cases. For small blocks, e.g., 23 base changes, it is often hard to ascertain whether the cause is a gene conversion event or merely point mutations in neighboring positions. In the case of primary diversification, most events can be identified as gene conversions, but examples of stepwise single base changes leading to small blocks in D gene, and occasionally in V gene-encoded portions, are found. In both primary and secondary diversification, the reported clonal trees are often larger and more complex than those reported in studies of murine and human clones, even when we consider each gene conversion as a single event. Our quantitative treatment of Ig gene lineage trees from rabbits and chickens reveals the unique characteristics of the genetic and selection processes driving the formation of the Ig repertoire in these species, as well as some differences between these two species, as follows. First, primary diversification in the rabbit appendix appears to occur at a constant rate, and is not subject to the types of Ag-driven selection observed in GC responses after immunization of rabbits and other species. Second, in both rabbits and chickens, the balance between mutation and selection tends more toward diversification, which may reflect the importance of maintaining a diverse repertoire in the adult once appendix or bursal B cell receptor diversification has diminished or ceased. Third, gene conversion in rabbits may be more efficient than in chickens.
| Materials and Methods |
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The lineage trees analyzed in this study were published previously (11, 12, 13, 14, 15, 16, 17).
Tree shape analysis
The concepts of graphical analysis of lineage trees, and the details of our measurement and analysis methods, are described previously (47). However, we list in this study the basic details essential for understanding this work.
A lineage tree is defined, graphically, as a phylogenetic tree in which the nodes (points on the tree) correspond to B cell receptor gene sequences (Fig. 1). It is important to note that nodes do not correspond to individual cells, but to sequences; a node may represent many cells as long as their Ig gene sequences are identical. The root node of the tree is the original unmutated sequence of the founder B cell(s). A node in the tree can have descendants (daughters); a daughter node represents a sequence that differs in exactly one mutation from the mother node, that is, it is one mutation further away from the root than the mother node. A lineage tree describes the diversification process of a clone of B cells at a certain moment of observation: it consists only of the Ig gene sequences of cells that were sampled at that moment and their ancestor sequences back to the root. The ancestor sequences are not necessarily sampled at the time of observation. A tree may be represented graphically (Fig. 1A) or by a list, in which each line gives the number of a mother node, followed by the numbers of all its daughter nodes (Fig. 1B).
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Statistical analysis
Significance tests were done using Students t test.
| Results |
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The first questions we asked were: How should we count gene conversion blocks in our analysis? Should we treat a gene conversion as one mutational event, or as if there were a number of separate mutations, treating each base pair substitution as a separate event? The two ways of treating gene conversion events will obviously result in different tree shapes; however, the question is whether the two methods give similar insights into the diversification process. In our preliminary analyses, we have found that, after scaling (dividing) by the total number of nodes or the number of leaves, trees generated by the two methods are similar, and give similar general insights. This is illustrated by the examples shown in Fig. 2: for the two trees analyzed, the scaled properties are the same whether we regard gene conversion blocks as one or several events; even though the trees do not look similar, most of their scaled properties are highly similar. Tree bushiness (defined by outgoing degree measures) is unaffected, as the number of splits per node is independent of the above choice. Therefore, we henceforth treat each gene conversion event as one mutational event.
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Another basic question was: How close are L and H chain trees from the same clone in their graphical properties? How do they relate to the properties of the full tree (which includes mutations in both chains)? We found that, in general, the trends in L chain trees are similar to those found in H chain trees, despite the fact that the trees differ in size and details. The examples in Fig. 2 demonstrate this point. Hence, in subsequent studies, we give equal weights to L and H chain gene trees, and regard the properties of two trees generated from the same clone (if available) as two data sets characterizing the clone.
Temporal development of rabbit GC trees: hypermutation vs selection
Having established the above, we conducted a comparative analysis of trees from rabbit appendix (primary diversification), at different time points during postnatal development, and from GCs (secondary diversification) at different time points during a specific immune response. The different trees showed rather large size variability, as seen in mice and humans. In immunized rabbits, trees from the same GC were usually similar in all properties, except general size (data not shown). Many unique sequences were found early in the response (days 7 and 10), and fewer unique sequences were found later. This is similar to findings in chickens (16, 17), and to a lesser extent in mice (39), in which it has been interpreted as reflecting selection via competition for Ag.
The rabbit splenic GC trees from days 7 and 10 of a specific immune response did not significantly differ in the various size (Fig. 3, AC) parameters, or in bushiness in terms of outgoing degree measures (Fig. 3D), but on day 15 much larger trees were found. Trees from day 7 significantly differed in all size properties from day 15 trees (p < 0.01 for all properties except trunk length, for which p < 0.07; the single day 10 tree did not have a trunk). Day 15 trees were also slightly bushier than day 7 or 10 trees (p < 0.05 for outgoing degree averaged over split nodes (AvgOD2); p < 0.07 for maximum outgoing degree (MaxOD)).
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Indeed, rabbit GC trees were both longer (in terms of scaled path lengths) and slightly bushier (in terms of outgoing degree) than murine (47) or human (48) GC trees. In murine splenic GC trees, path lengths observed to date were at most 13 mutations long (35, 36, 37, 38, 39, 40), while rabbit splenic GC trees have many paths of the order of 1520 mutations accumulated in the same time period. Because we counted every gene conversion block as one mutation, the actual number of base changes was even higher. Scaling by the number of leaves, or of nodes, removes the size differences between different days, suggesting that the rate of hypermutation, which generates the tree, remains essentially the same throughout the response (Fig. 3). However, our analysis suggests that the rate of hypermutation, which is proportional to the path lengths, in rabbits (and chickens, as shown below) is larger than that in mice, even when we count every gene conversion block as one mutation.
Temporal development of chicken GC trees: similar to or faster than rabbit GC
Chickens, like rabbits, use gene conversion as a mechanism of primary and secondary diversification. Only a small number of lineage trees was published from chicken GCs, on the seventh and the eleventh day of the response (16, 17). Applying our analysis to these data, we see that tree growth is undetectable, and the bushiness (maximum and average OD) decreases only slightly between the two time points (Fig. 4). This is despite the fact that many mutations have accumulated per path, as in rabbit splenic GCs, so that the trees are as large on day 7 in chicken GC as on day 15 in rabbit GC (p > 0.05 for all unscaled size comparisons) and significantly larger (p < 0.05) from trees in day 7 of rabbit GC. There were no significant differences in bushiness (MaxOD, AvgOD2, and root degree (RootD)).
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The results of comparing the trees from rabbit primary (11) to secondary diversification revealed the greatest insights. During rabbit postnatal B cell development in the appendix, the earliest trees were very small and few, but became increasingly larger with time (Fig. 5). However, the average bushiness (outgoing degree) did not significantly change with time. This is in striking contrast to the behavior of trees from murine immune responses to specific Ags, in which path lengths, even scaled ones, grow in size, yet the outgoing degree decreases, as the response progresses (47). This is thought to be due to the intense selection, which trims branches that did not lead to successful cells, so that the number of branches decreases while their lengths increase. This selection seems to be weaker in rabbit splenic GCs, as shown above, and completely missing in appendix clonal diversification. Note that although the trees from rabbit age 5.5 wk look quite large and bushy, they significantly differ from rabbit GC trees in their lack of trunks and in their shorter paths (p < 0.05 for all path length comparisons between 5.5-wk appendix trees and day 15 GC trees).
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Primary diversification in chicken bursa
To compare primary diversification in rabbits with that in a different species that uses gene conversion, we have analyzed the trees from chicken bursa (12). The data are again limited, as only one embryonic tree is compared in this study with four posthatching trees. What we can say is that posthatching trees are both larger and less bushy than the embryonic tree (Fig. 6). Path lengths also increase (data not shown). Larger tree size is observed in scaled properties as well as in the unscaled ones, as in rabbit appendix (data not shown).
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Scaling of path lengths by nodes results in an opposite trend, that is, shorter paths in NP-BDL trees; we attribute this to a less stringent selection. Note that when measured on trees, the stringency of selection is only relative to the force of proliferation. Hence, it may be that the same selection forces act in both cases; however, in the case of NP-BDL trees, these selection forces are less able to curb the diversification.
| Discussion |
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The idea that the diversification process in the appendix appears to occur at a constant rate is based on our observation that both tree size (measured by numbers of nodes) and bushiness (measured by outgoing degrees) grow with time. The type of Ag-specific selection seen in splenic GCs seems to be absent in the appendix, and this supports the view that the primary repertoire is generated within the expanding clonally related B cells in young rabbits, and emphasizes the important role that gut-associated lymphoid tissues play in early development of mammalian immune repertoires.
The greater bushiness of rabbit trees may reflect a greater efficiency of the rabbits gene conversion process in generating new sequences that are still functional. Compared with the chicken data, in rabbits we have not seen many out-of-frame sequences resulting from gene conversions. The present analysis of tree shape further supports this notion, because in chickens we do find indications of selection, which may merely be favoring cells that maintained productive sequences after gene conversion events.
Rabbit and chicken splenic GC trees are both longer and bushier than mouse GC trees. A higher rate of hypermutation in rabbit and chicken GCs, compared with murine GCs, may be the reason for the longer paths (higher numbers of accumulated mutations per cell), and possibly for the higher bushiness. Even if the same selective forces apply in both systems, the balance between hypermutation and selection tends more toward mutation and less toward selection in rabbit and chicken GCs compared with murine GCs. This is consistent with our past suggestion that the GC in rabbit spleen might be a site for continued generation of B cell receptor diversity in adult life (13); some of the alterations of sequence may also lead to new members of the B cell repertoire in adult rabbits comparable to those produced in gut-associated lymphoid tissues of young rabbits (14). That the balance tends more toward hypermutation than toward selection does not, however, necessarily mean that selection is impaired, or that the danger of producing autoreactive clones is not avoided. The strength of selection may well be the same in all model systems, while either the rate or duration of hypermutation may be increased.
The high variability in all measured tree properties is a characteristic that we have encountered in all of our studies to date (47, 48, 49). In the rabbit GC data, for example, a large clone often (but not always) dominated a given GC, with the other clones in the same GC yielding fewer cells and smaller trees (13, 14, 15). A large clone may dominate a GC because it was probably good to begin with, i.e., the founder cell may have already had H and L chain complementarity-determining region 3 (CDR3) conformations with good affinity for the Ag used. This was suggested by the minimal number of changes in HCDR3 and LCDR3 in some cases. Alternatively, one key mutation, which increases the affinity by up to an order of magnitude, may result in clonal dominance of a GC (50). Thus, the initial fit with the Ag, and hence the potential for improvement by mutation (if any), may determine in a large part the dynamics of the response of each individual clone. The variability in potential, hence in dynamics, and hence in tree shape, is a reflection of the sensitivity of the GC reaction to the particular Ig gene sequences of the founder cells.
The variability and sensitivity issues have to date been largely ignored, in both experimental and theoretical studies of GC dynamics. Studies of only a few clones were taken to represent the dynamics of a typical GC reaction (35, 36, 37, 38, 39, 40), and most models relied on these data (22, 23, 24, 25, 26), with only a few addressing the sensitivity of GC reaction dynamics to individual sequence characteristics (51, 52). The focus of the studies to date has been on the affinity-improving mutations, largely ignoring the fact that most mutations are actually destructive, or at best neutral (21). The proper way to address the variability and sensitivity issues, and the question of whether the sample size affects the results, is via computer simulations in which all the parameters are known, and all mutations in all cells are counted; we intend to perform such studies in the near future.
An additional factor, compounding the sensitivity of response dynamics to sequence potential and hence increasing tree shape variability, is the competition for Ag between clones in each GC. Part of tree pruning, the elimination of less successful branches, is probably due to competition for Ag rather than functionality of the sequence. This would be true especially in the late stages of the response, when there is not much Ag around. At least this is our interpretation of the decrease in bushiness of murine GC trees with time. The differences between tree sizes in the same GC in the rabbit data seem to indicate that a similar competition may be going on here.
All standard algorithms of tree generation from sequence data assume that each shared change indicated cells with a shared precursor. In drawing our trees from rabbit data, especially from the appendix sequences, we could not always accept this assumption, as we had indications of repeated independent occurrences of point mutations and even gene conversions. We could sometimes infer that specific point mutations occurred independently at a given position (e.g., in HCDR3) because the cells carrying them were on different branches. Conversely, the best overall fit of the sequence data sometimes led to the conclusion that gene conversions recurred on different branches. As long as the trees are produced by a consistent algorithm, we consider the comparison between shape properties of different trees to be legitimate.
In conclusion, use of the algorithm described in this study has revealed new insights about Ig gene diversification in rabbits and chickens that were not obvious from less rigorous examination of the available data on clonal trees. These insights include: first, primary diversification in the rabbit appendix appears to occur at a constant rate, and is not subject to the types of Ag-driven selection observed in GC responses after immunization of rabbits and other species. Second, in both rabbits and chickens, the balance between mutation and selection tends more toward diversification, which may reflect the importance of maintaining a diverse repertoire in the adult once appendix or bursal B cell receptor diversification has diminished or ceased. Finally, gene conversion in rabbits may be more efficient than in chickens. This may be explained by the introduction of blocks of changes in CDRs without introduction of deleterious replacement changes in the framework regions, and few, if any, insertions and deletions that lead to frameshifts during the conversion process in rabbits.
| Acknowledgments |
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| Footnotes |
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2 Address correspondence and reprint requests to Dr. Ramit Mehr, Faculty of Life Sciences, Building 212, Bar-Ilan University, Ramat-Gan 52900, Israel. E-mail address: mehrra{at}mail.biu.ac.il ![]()
3 Abbreviations used in this paper: GC, germinal center; AvgOD2, outgoing degree averaged over split nodes; BDL, bursal duct ligation; CDR3, complementarity-determining region 3; MaxOD, maximum outgoing degree; NP, 4-hydroxy-3-nitrophenylacetyl; RootD, root degree. ![]()
Received for publication July 22, 2003. Accepted for publication February 4, 2004.
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