Phenotypic characterization of thymic prelymphoma cells of B10 mice treated with split-dose irradiation

Using an intrathymic injection assay on B10 Thy-1 congenic mice, it was demonstrated that thymic prelymphoma cells first developed within the thymuses from 4 to 8 days after split-dose irradiation and were detected in more than 63% of the test donor thymuses when examined at 21 and 31 days after irradiation. Moreover, some mice (25%) at 2 mo after split-dose irradiation had already developed thymic lymphomas in their thymuses. To characterize these thymic prelymphoma cells, the thymocytes from B10 Thy-1.1 mice 1 mo after irradiation were stained with anti-CD4 and anti-CD8 mAb and were sorted into four subpopulations. These fractionated cells were injected into the recipient thymuses to examine which subpopulation contained thymic prelymphoma cells. The results indicated that thymic prelymphoma cells existed mainly in CD4- CD8- and CD4- CD8+ thymocyte subpopulations and also in CD4+ CD8+ subpopulation. T cell lymphomas derived from CD4- CD8- prelymphoma cells had mainly CD4- CD8- or CD4- CD8+ phenotypes. T cell lymphomas developed from CD4- CD8+ prelymphoma cells mainly expressed CD4- CD8+ or CD4+ CD8+ phenotype. T cell lymphomas originating from CD4+ CD8+ prelymphoma cells were mainly CD4+ CD8+ but some CD4- CD8+ or CD4+ CD8- cells were also present. These thymic prelymphoma cells were further characterized phenotypically in relation to their expression of the marker defined by the mAb against J11d marker and TL-2 (thymus-leukemia) Ag, which is not expressed on normal thymocytes of B10.Thy-1.2 or B10.Thy-1.1 strain, but appears on the thymocytes of lymphomagenic irradiated mice. The results indicated that the prelymphoma cells existed in J11d+, TL-2+ cells.     

Role of SLAM in NKT cell development revealed by transgenic complementation in NOD mice

Allelic variation of SLAM expression on CD4(+)CD8(+) thymocytes has been proposed to play a major role in NKT cell development. In this article, this hypothesis is tested by the production of subcongenic mouse strains and Slamf1 transgenic lines. The long isoform of the C57BL/6 allele of Slamf1 was transgenically expressed on CD4(+)CD8(+) thymocytes under control of an hCD2 minigene. NOD.Nkrp1b.Tg(Slamf1)1 mice, which had a 2-fold increase in SLAM protein expression on CD4(+)CD8(+) thymocytes, had a 2-fold increase in numbers of thymic NKT cells. The additional thymic NKT cells in NOD.Nkrp1b.Tg(Slamf1)1 mice were relatively immature, with a similar subset distribution to those of congenic NOD.Nkrp1b.Nkt1 and NOD.Nkrp1b.Slamf1 mice, which also express increased levels of SLAM on CD4(+)CD8(+) thymocytes and produce larger numbers of NKT cells. Transgenic enhancement of SLAM expression also increased IL-4 and IL-17 production in response to TCR-mediated stimulation. Paradoxically, NOD.Nkrp1b.Tg(Slamf1)2 mice, which had a 7-fold increase in SLAM expression, showed no significant increase in NKT cells numbers; on the contrary, at high transgene copy number, SLAM expression levels correlated inversely with NKT cell numbers, consistent with a contribution to negative selection. These data confirm a role for SLAM in controlling NKT cell development and are consistent with a role in both positive and negative thymic selection of NKT cells.     

Soluble factor-mediated differentiation of CD4+CD8+ thymocytes to single positives in vitro

Although the thymic microenvironment provides the necessary elements for T-cell differentiation, the precise role of individual components remains to be determined. In this paper, attempts were made to address the possibility that CD4 or CD8 single-positive (SP) thymocytes could be developed from immature CD4+CD8+ (double-positive; DP) thymocytes in a suspension culture in the presence of soluble factors. We observed that IL-4 and IFN-gamma weakly induced DP cells to differentiate to CD4 cells, but not to CD8. In contrast, IL-2 weakly induced differentiation to CD8. Interestingly, Con A sup strongly induced differentiation to CD8 SP from the purified DP thymocytes prepared from C57BL/6 or LCMV TCRtg mice. In particular, it was found that thymocyte culture with Con A sup generated CD69+DP cells, and the CD69+DP differentiated to CD8 SP under the suspension culture with soluble factors. Thus, Con A sup or combinations of IL-2, IL-4 and IL-7 strongly induced differentiation of CD69+DP to CD8 SP, whereas individual cytokines did not. These results suggest that soluble factors like cytokines play an important role in the generation of SP thymocytes in the absence of thymic stromal cells, at least from a distinctive subpopulation like CD69+DP thymocytes, and perhaps from those of broader range when in conjunction with TCR/MHC interaction.     

Defective thymic T cell activation by concanavalin A and anti-CD3 in autoimmune nonobese diabetic mice. Evidence for thymic T cell anergy that correlates with the onset of insulitis.

In nonobese diabetic (NOD) mice, T cells play a major role in mediating autoimmunity against pancreatic islet beta-cells. We and others previously reported that age-related alterations in the thymic and peripheral T cell repertoire and function occur in prediabetic NOD mice. To study the mechanism responsible for these T cell alterations, we examined whether a defect exists in the thymus of NOD mice at the level of TCR-mediated signaling after activation by Con A and anti-CD3. We found that thymocytes from NOD mice respond weakly to Con A- and anti-CD3-induced proliferation, compared with thymocytes from control BALB/c, BALB.B, (BALB.B x BALB.K)F1, C57BL/6, and nonobese non-diabetic mice. This defect correlates with the onset of insulitis, because it can be detected at 7 to 8 weeks of age, whereas younger mice displayed a normal T cell responsiveness. Thymic T cells from (NOD x BALB/c)F1 mice, which are insulitis- and diabetes-free, exhibit an intermediate stage of unresponsiveness. This T cell defect is not due to a difference in the level of CD3 and IL-2R expression by NOD and BALB/c thymocytes, and both NOD CD4+ CD8- and CD4- CD8+ mature thymic T cells respond poorly to Con A. BALB/c but not NOD thymic T cells respond to Con A in the presence of either BALB/c or NOD thymic APC, suggesting that the thymic T cell defect in NOD mice is intrinsic to NOD thymic T cells and is not due to an inability of NOD APC to provide a costimulatory signal. The defect can be partially reversed by the addition of rIL-2 to NOD thymocytes. To determine whether a defect in signal transduction mediates this NOD thymic T cell unresponsiveness, we tested whether these cells elevate their intracellular free Ca2+ ion concentration in response to Con A. An equivalent Con A-induced increase in Ca2+ ion concentration in both NOD and BALB/c thymocytes was observed, suggesting a normal coupling between the CD3 complex and phospholipase C in NOD thymocytes. In contrast to their low proliferative response to Con A or anti-CD3, NOD thymocytes respond normally (i.e., as do BALB/c thymocytes) to the combinations of PMA plus the Ca2+ ionophore ionomycin and PMA plus Con A but weakly to Con A plus ionomycin. Our data suggest that the age-related NOD thymocyte unresponsiveness to Con A and anti-CD3 results from a defect in the signaling pathway of T cell activation that occurs upstream of protein kinase C activation.     

VSIG4(+) peritoneal macrophages induce apoptosis of double-positive thymocyte via the secretion of TNF-α in a CLP-induced sepsis model resulting in thymic atrophy

Thymic atrophy in sepsis is a critical disadvantage because it induces immunosuppression and increases the mortality rate as the disease progresses. However, the exact mechanism of thymic atrophy has not been fully elucidated. In this study, we discovered a novel role for VSIG4-positive peritoneal macrophages (V4(+) cells) as the principal cells that induce thymic atrophy and thymocyte apoptosis. In CLP-induced mice, V4(+) cells were activated after ingestion of invading microbes, and the majority of these cells migrated into the thymus. Furthermore, these cells underwent a phenotypic shift from V4(+) to V4(−) and from MHC II(low) to MHC II(+). In coculture with thymocytes, V4(+) cells mainly induced apoptosis in DP thymocytes via the secretion of TNF-α. However, there was little effect on CD4 or CD8 SP and DN thymocytes. V4(−) cells showed low levels of activity compared to V4(+) cells. Thymic atrophy in CLP-induced V4(KO) mice was much less severe than that in CLP-induced wild-type mice. In addition, V4(KO) peritoneal macrophages also showed similar activity to V4(−) cells. Taken together, the current study demonstrates that V4(+) cells play important roles in inducing immunosuppression via thymic atrophy in the context of severe infection. These data also suggest that controlling the function of V4(+) cells may play a crucial role in the development of new therapies to prevent thymocyte apoptosis in sepsis.Subject terms: Imaging the immune system, Bacterial infection     

Expression of the J11d marker on peripheral T lymphocytes of MRL-lpr/lpr mice

MRL-lpr/lpr (lpr) mice spontaneously develop massive lymphadenopathy resulting from the expansion of a unique population of Thy-1+ cells which are CD4- and CD8- (double negative) and the nature of which is not clear. The antibody J11d has been shown to define a differentiation Ag found on immature thymocytes but not on mature and functional peripheral CD4+ or CD8+ T cells. To analyze the possible relationship between the lpr double-negative T cells and the thymocytes, we investigated the simultaneous expression of J11d and Thy 1 Ag on the double-negative lpr lymph node cells by using two-color immunofluorescent staining technique. We observed that lpr mice at 3 to 4 weeks of age, before the onset of lymphadenopathy, did not have significant numbers (less than 4%) of J11d+ T cells in the periphery, similar to the number found in the control MRL +/+ mice. However, with increasing age of approximately 8 to 10 weeks and coinciding with the appearance of lymphadenopathy, a significant number (approximately 35%) of J11d+ Thy-1+ cells started appearing in the periphery of lpr mice and was maintained until the mice died at 20 to 24 weeks of age. The J11d+ T cells belonged to the abnormal double-negative T cell pool, inasmuch as J11d+ CD4+ or J11d+ CD8+ cells were absent in the lymph nodes of 20-wk-old lpr mice. Furthermore, 20-wk-old lpr mice demonstrated increased numbers (approximately 41%) of double-negative T cells in the thymus, a significant proportion of which were J11d+. In contrast, the 20-wk-old +/+ mice or 4-wk-old lpr mice had only 4% double-negative T cells in the thymus. The present study suggests that a significant number of peripheral double-negative T cells of lpr mice bear the immature thymic differentiation Ag J11d. The possibility that the accumulation of double-negative T cells results from abnormal peripheralization of double-negative J11d+ thymocytes, before complete differentiation into CD4+ or CD8+ T cells, is discussed.     

Early block in maturation is associated with thymic involution in mammary tumor-bearing mice

We previously reported that mice implanted with mammary tumors show a progressive thymic involution that parallels the growth of the tumor. The involution is associated with a severe depletion of CD4+8+ thymocytes. We have investigated three possible mechanisms leading to this thymic atrophy: 1) increased apoptosis, 2) decreased proliferation, and 3) disruption of normal thymic maturation. The levels of thymic apoptosis were determined by propidium iodide and annexin V staining. A statistically significant, but minor, increase in thymic apoptosis in tumor-bearing mice was detected with propidium iodide and annexin V staining. The levels of proliferation were assessed by in vivo labeling with 5'-bromo-2'-deoxyuridine (BrdU). The percentages of total thymocytes labeled 1 day following BrdU injection were similar in control and tumor-bearing mice. Moreover, the percentages of CD4-8- thymocytes that incorporated BrdU during a short term pulse (5 h) of BrdU were similar. Lastly, thymic maturation was evaluated by examining CD44 and CD25 expression among CD4-8- thymocytes. The percentage of CD44+ cells increased, while the percentage of CD25+ cells decreased among CD4-8- thymocytes from tumor-bearing vs control animals. Together, these findings suggest that the thymic hypocellularity seen in mammary tumor bearers is not due to a decreased level of proliferation, but, rather, to an arrest at an early stage of thymic differentiation along with a moderate increase in apoptosis.     

IL-12 inhibits thymic involution by enhancing IL-7- and IL-2-induced thymocyte proliferation

IL-12 has been reported to affect thymic T cell selection, but the role of IL-12 in thymic involution has not been studied. We found that in vivo, IL-12b knockout (IL-12b(-/-)) mice exhibited accelerated thymic involution compared with wild-type (WT) B6 mice. This is characterized by an increase in thymocytes with the early development stage phenotype of CD25(-)CD44(+)CD4(-)CD8(-) in aged IL-12b(-/-) mice. Histologically, there were accelerated degeneration of thymic extracellular matrix and blood vessels, a significantly decreased thymic cortex/medulla ratio, and increased apoptotic cells in aged IL-12b(-/-) mice compared with WT mice. There was, however, no apparent defect in thymic structure and thymocyte development in young IL-12(-/-) mice. These results suggest the importance of IL-12 in maintaining thymic integrity and function during the aging process. Surprisingly, in WT B6 mice, there was no age-related decrease in the levels of IL-12 produced from thymic dendritic cells. Stimulation of thymocytes with IL-12 alone also did not enhance the thymocyte proliferative response in vitro. IL-12, however, provided a strong synergistic effect to augment the IL-7 or IL-2 induced thymocyte proliferative response, especially in aged WT and IL-12b(-/-) mice. Our data strongly support the role of IL-12 as an enhancement cytokine, which acts through its interactions with other cytokines to maintain thymic T cell function and development during aging.     

Age-related synthesis of glucocorticoids in thymocytes

Glucocorticoids (GCs) are primarily synthesized in the adrenal glands but an ectopic production has also been reported in the brain, the gastrointestinal tract and in thymic epithelial cells (TEC). Here we show that thymocytes express genes encoding for all enzymes required for de novo GC synthesis and produce the hormone as demonstrated by both a GC specific reporter assay and a corticosterone specific ELISA assay. Interestingly, GC synthesis is detectable in cells from young mice (4 weeks) and thereafter increases during aging (14-22 weeks) together with an increased gene expression of the rate-limiting enzymes StAR and CYP11A1. Hormone production occurred at a thymocyte differentiation stage characterized by being double positive for the CD4 and CD8 surface markers but was found to be unrelated to CD69 expression, a marker for thymocytes undergoing positive selection. No GC synthesis was found in resting or anti-CD3 activated CD4 and CD8 positive T cells isolated from the spleen. Thymocyte-derived GC had an anti-proliferative effect on a GR-transfected cell line and induced apoptosis in thymocytes. The age- and differentiation stage-related GC synthesis in thymocytes may play a role in the involution process that the thymus gland undergoes.     

MHC non-restricted, CD95-independent apoptosis of immature thymocytes induced by thymic epithelial cells

The interaction of thymocytes with thymic epithelial cells in the absence of an exogenous antigen was studied in vitro. Thymic, but not splenic epithelial cells induced apoptosis of thymocytes. A thymic epithelial cell line (TEC) induced apoptosis of thymocytes but not of splenic T-cells. The target population for TEC-induced death were immature CD4(+)8(+) (double positive), but not mature single positive thymocytes. TEC also induced DNA fragmentation in day 18 foetal thymocytes, most of which are CD4(+)8(+) cells. Radiation leukemia virus (RadLV)-transformed thymic lymphoma clones expressing various phenotypes reflected this sensitivity, in that a CD4(+)8(+)3(+) clone apoptosed by thymic epithelial cells or TEC. Other, single positive or double negative clones were resistant. Thymocytes from C3H (H-2(k)), C57BL/6 (H-2(b)) and Balb/C (H-2(d)) mice apoptosed equally in response to either C57BL/6 thymic epithelial cells or TEC (H-2(b) x H-2(d)). Likewise, thymocytes from MRLIpr((-/-)) and B6Ipr((-/-)) mice, which do not express CD95 were also apoptosed by TEC.The data suggest that thymic epithelial cells induce MHC non-restricted, Fas-independent apoptosis of immature thymocytes. This response may reflect a mechanism through which thymocytes expressing TcR with no affinity to self MHC/peptide complexes are eliminated.     

Expression of ets genes in mouse thymocyte subsets and T cells

The cellular ets genes (ets-1, ets-2, and erg) have been identified by their sequence similarity with the v-ets oncogene of the avian erythroblastosis virus, E26. Products of the ets-2 gene have been detected in a wide range of normal mouse tissues and their expression appears to be associated with cell proliferation in regenerating liver. In contrast, the ets-1 gene was previously shown to be more highly expressed in the mouse thymus than in other tissues. Because the thymic tissue contains various subsets of cells in different stages of proliferation and maturation, we have examined ets gene expression in fetal thymocytes from different stages of development, in isolated subsets of adult thymocytes, and in peripheral T lymphocytes. Expression of the ets-1 gene was first detected at day 18 in fetal thymocytes, corresponding to the first appearance of CD4+ (CD4+, CD8-) thymocytes, and reaches maximal/plateau levels of expression in the thymus at 1 to 2 days after birth. The ets-2 gene expression is detected at least 1 day earlier, coinciding with the presence of both double-positive (CD4+, CD8+) and double-negative (CD4-, CD8-) blast thymocytes and reaches maximal/plateau levels 1 day before birth. In the adult thymus, ets-1 and ets-2 mRNA expression is 10- to 8-fold higher respectively in the CD4+ subset than in the other subsets examined. Higher levels of p55 ets-1 protein were also shown to exist in the CD4+ subset. Because the CD4+ thymic subset is the pool from which the CD4+ peripheral, helper/inducer T cells are derived, the ets gene expression was examined in lymph node T cells. Both the CD4+ and the CD8+ T cells subsets had lower ets RNA levels than the CD4+ thymocytes. These results suggest that ets-2 and more particularly ets-1 gene products play an important role in T cell development and differentiation and are not simply associated with proliferating cells, which are observed at a higher frequency in fetal thymocytes, or dull Ly-1 (low CD5+), and double-negative (CD4-, CD8-) adult thymocytes. Selectively enhanced expression of ets-1 gene may be observed in thymic CD4+ thymocytes because these cells have uniquely encountered MHC class II or other Ag in the thymic environment. These cells may have been subsequently stimulated to activate the ets genes in conjunction with their differentiation of helper/inducer function(s) and expression of mature TCR.(ABSTRACT TRUNCATED AT 400 WORDS)     

Cutting Edge: A possible role for CD4+ thymic macrophages as professional scavengers of apoptotic thymocytes

A vast majority of thymocytes are eliminated during T cell development by apoptosis. However, apoptotic thymocytes are not usually found in the thymus, indicating that apoptotic thymocytes must be eliminated rapidly by scavengers. Although macrophages and dendritic cells are believed to play such role, little is known about scavengers in the thymus. We found that CD4(+)/CD11b(+)/CD11c(-) cells were present in the thymus and that they expressed costimulatory molecules for T cell selection and possessed Ag-presenting activity. Moreover, these CD4(+)/CD11b(+) cells phagocytosed apoptotic thymocytes much more efficiently than thymic CD4(-)/CD11b(+) cells as well as activated peritoneal macrophages. CD4(+)/CD11b(+) cells became larger along with thymus development, while no such change was observed in CD4(-)/CD11b(+) cells. Finally, engulfed nuclei were frequently found in CD4(+)/CD11b(+) cells. These results strongly suggest that thymic CD4(+)/CD11b(+) cells are major scavengers of apoptotic thymocytes.     

Differential regulation of Ca2+ mobilization in human thymocytes by coaggregation of surface molecules.

Variations in intracellular Ca2+ levels in developing thymocytes are likely to play a major role in both the activation-associated differentiation of thymocytes and in the selection or clonal deletion of cells. Here we examine the role of CD4, CD8, CD2, and CD45 in the regulation of intracellular Ca2+ levels in mature and immature thymocytes. Mature and immature thymocytes, distinguished on the basis of their CD5 expression, were analyzed simultaneously for their ability to mobilize Ca2+ after coaggregation of their CD3/TCR with other thymic surface Ag. Flow cytometric analysis by using Indo-1 showed that coaggregation of CD4, CD8, and CD2 with CD3/TCR clearly enhances a minimal signal delivered via CD3/TCR on immature thymocytes. Coaggregation with class I MHC had no discernible effect. The responsiveness of immature thymocytes correlated strictly with CD3 surface expression, such that loss of responsiveness occurred with reduced CD3 cell-surface density. However, even thymocytes with very low CD3 expression were able to respond to triggering via CD3 under optimal conditions, indicating that the CD3 signal-transducing mechanism is functional on early thymic cells. Intracellular increases in Ca2+ concentrations induced via CD3, could effectively be inhibited by cross-linking of CD45 and CD3 on immature thymocytes. Although triggering via CD2 alone induced a strong Ca2+ flux, prolonged incubation with activating anti-CD2 antibodies made thymocytes refractory to subsequent triggering. Refractoriness was associated with partial loss of surface CD3 and CD3 zeta. Our results indicate that thymic surface Ag are differentially involved in the regulation of intracellular Ca2+ levels in immature as well as mature thymocytes.     

Radiation leukemia virus-induced thymic lymphomas express a restricted repertoire of T-cell receptor V beta gene products.

We have investigated the phenotypic changes that take place during the process of neoplastic transformation in the thymocytes of C57BL/Ka mice infected by the radiation leukemia virus (RadLV). By the combined use of antibodies against the envelope glycoprotein gp70 of RadLV, the transformation-associated cell surface marker 1C11, and the CD3-T-cell receptor (TCR) complex, we found that in the RadLV-infected thymus, the earliest expression of viral gp70 is in 1C11hi cells; a small but significant percentage of these cells also express CD3. A first wave of viral replication, manifested by the expression of high levels of gp70 in thymocytes (over 70% positive), reaches a peak at 2 weeks; during this period, no significant changes are observed in the expression of 1C11 or CD3. The population of gp70+ cells is drastically reduced at 3 to 4 weeks after infection. However, a second cohort of gp70+ cells appears after 4 weeks, and these cells express high levels of 1C11 and TCR determinants as well. RadLV-induced lymphomas differ from normal thymocytes in their CD4 CD8 phenotype, with domination by one or more subsets. Characterization of TCR gene rearrangements in RadLV-induced lymphomas shows that most of these tumors are clonal or oligoclonal with respect to the J beta 2 TCR gene, while the J beta 1 TCR gene is rearranged in a minority (4 of 11) of lymphomas. TCR V beta repertoire analysis of 12 tumors reveals that 6 (50%) express exclusively the V beta 6 gene product, 2 (17%) are V beta 5+, and 1 (8%) each are V beta 8+ and V beta 9+. In normal C57BL/Ka mice, V beta 6 is expressed on 12%, V beta 5 is expressed on 9%, V beta 8 is expressed on 22%, and V beta 9 is expressed on 4% of TCRhi thymocytes. Thus, it appears that RadLV-induced thymic lymphomas are not randomly selected with respect to expressed TCR V beta type.     

T cell-intrinsic and -extrinsic contributions of the IFNAR/STAT1-axis to thymocyte survival

STAT1 is an essential part of interferon signaling, and STAT1-deficiency results in heightened susceptibility to infections or autoimmunity in both mice and humans. Here we report that mice lacking the IFNα/β-receptor (IFNAR1) or STAT1 display impaired deletion of autoreactive CD4(+)CD8(+)-T-cells. Strikingly, co-existence of WT T cells restored thymic elimination of self-reactive STAT1-deficient CD4(+)CD8(+)-T cells. Analysis of STAT1-deficient thymocytes further revealed reduced Bim expression, which was restored in the presence of WT T cells. These results indicate that type I interferons and STAT1 play an important role in the survival of MHC class I-restricted T cells in a T cell intrinsic and non-cell intrinsic manner that involves regulation of Bim expression through feedback provided by mature STAT1-competent T cells.     

The role of LFA-1/ICAM-1 interactions during murine T lymphocyte development.

We have examined the expression and function of the cell adhesion molecules LFA-1 (CD11a/CD18), ICAM-1 (CD54), and ICAM-2 in murine fetal thymic ontogeny and in the adult thymus. On fetal days 14 and 15, 40 to 50% of thymocytes coexpress high levels of LFA-1 and ICAM-1, as determined by flow cytometry. By day 16, more than 90% of fetal thymocytes are LFA-1+ ICAM-1hi, and all IL-2R+ cells are located in this population. Although LFA-1 expression remains unchanged thereafter, ICAM-1 expression appears to be differentially regulated in different thymocyte subpopulations, with CD4+8+ cells being ICAM-1lo and CD4-8- thymocytes remaining ICAM-1hi. ICAM-2 surface expression is dull on both fetal and adult thymocytes. Surprisingly, the expression of ICAM-1 is differentially up-regulated on T cells having a mature phenotype in thymus and in peripheral lymphoid organs, with CD8+ T cells bearing the highest amount of surface ICAM-1. Addition of anti-ICAM-1 or anti-LFA-1 antibodies to fetal thymic organ cultures results in the impaired generation of CD4+8+ cells. These results indicate that LFA-1/ICAM-1 interactions facilitate murine thymic development and suggest that cell adhesion molecules mediate important events in T cell differentiation.