Limit Cycles for a class of three dimensional polynomial differential systems

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┴N as an Abstract Elementary Class

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Role of cytokines in secondary lymphoid organ development

Summary Secondary lymphoid organs are sites of antigen presentation, clonal expansion of B and lymphocytes, and affinity maturation of B lymphocytes. In the intestine, these immune functions occur mainly in Peyer's patches (PP). PP develop through the interplay of two main cell types, haematopoietic cells and meserichyrnal cells. One particular haematopoietic cell type was identified as the inductive cell type in the formation of both PP and lymph nodes and was therefore designated as lymphoid tissue inducer cell. For a successful PP organogenesis, the crucial molecular components involved in the crosstalk of inducer cells and their mesenchymal target cells are adhesion molecules, lymphotoxin (LT) family members, and cytokines. In particular, the interleukin 7 receptor (IL-7R) expressed on inducer cells is absolutely required. To investigate the contribution of the ligand for the IL-7R. the cytokine IL-7, in the process of PP formation, we analyzed double transgenic (TG) mice. These mice resulted from an interbreeding of an IL-7TG mouse strain where the transgene is under the control of the MHC class II promoter with a second transgenic mouse strain, which overexpresses a transactivator for MHC class II genes. Double TG offsprings revealed higher levels of IL-7 mRNA occuring earlier in embryogenesis. Consequently, double TG mice showed a striking phenotype with a 3- to 5-fold increase in PP numbers compared to single IL-7TG or control littermates. Analysis of embryonic double TG intestines demonstrated that the process of PP development was already elevated during development as early as the embryonic day 16.5. Importantly, inducer cells were significantly increased in numbers in these embryonic intestines. Furthermore, the expression of LT? mRNA, which at this early time point is exclusively expressed by inducer cells, was also increased in double TG animals. These data clearly indicate a direct influence of IL-7 on the expansion of lymphoid tissue inducer cells and on the availability of LT? leading to a higher frequency of developing PP in fetal life. Interestingly, in addition to an enhanced frequency of PP development, in double TG mice, three additional phenotypic differences were observed. i) Lymphocyte infiltration in various non-lymphoid organs, such as stomach, salivary gland, and liver. Subsequent analysis demonstrated that B lymphocytes were predominant within these tertiary lymphoid structures. ii) Ectopic lymph node-like structures containing both B and T lymphocytes were found near the inguinal lymph node. iii) Double TG mice had a severe bone resorption syndrome most likely as a consequence of the pro-osteoclastic effect of IL-7. Taken together, these results show that IL-7 plays a key role in the homeostasis of inducer cells, in the generation of PP in the gut, in the formation of ectopic lymphoid tissue, and in bone resorption. Résumé Les organes lymphoïdes secondaires sont les lieux de présentation des antigènes aux lymphocytes, permettant l'expansion des lymphocytes B et T et la maturation d'affinité des lymphocytes B. Dans l'intestin, ces fonctions immunitaires se déroulent dans les plaques de Peyer (PP). Ces plaques se développent grâce à l'interaction des cellules hématopoïétiques avec des cellules mésenchymales. Un type particulier de cellules hématopoïétiques a été identifié comme cellule inductrice dans la formation des PP et des ganglions lymphatiques et de ce fait a été désigné cellule inductrice des tissus lymphoïdes. Durant l'organogénèse des PP, les composants moléculaires cruciaux impliqués dans l'interaction des cellules inductrices et des cellules mésenchymales sont les molécules d'adhésion, les membres de la famille des lymphotoxines (LT) et les cytokines. En particulier, le récepteur de l'interleukine 7 (IL-7R) exprimé par les cellules inductrices est absolument nécessaire. Pour étudier le rôle du ligand de l'IL-7R, l'interleukine IL-7, dans la formation des PP, nous avons croisé une lignée de souris transgénique (TG) surexprimant IL-7 sous contrôle du promoteur MHC class Il avec une lignée de souris transgénique surexprimant un transactivateur des genes MHC class II. Les souris doubles TG présentent une concentration élevée d'ARNm de l'IL-7 durant l'embryogénèse, ce qui résulte en une augmentation du nombre de PP de 3 à 5 fois en comparaison aux souris ayant seul le transgène IL-7 et aux souris contrôles. L'analyse des intestins des souris doubles TG démontre que le processus de développement des PP était élevé dès le jour 16.5 du développement embryonnaire. L'augmentation du nombre des cellules inductrices dans ces intestins embryonnaires est signilicative. De plus l'expression de l'ARNm LT?, qui à ce stade précoce est exclusivement exprimé dans les cellules inductrices, est également augmenté dans les doubles TG. Ces résultats indiquent clairement une influence directe d'IL-7 sur l'expansion des cellules inductrices des tissues lymphoïdes et sur la synthèse de LT? induisant une augmentation des PP se développant durant la vie foetale. En plus du développement accru des PP dans les souris doubles TG, trois différences phénotypiques ont été observées. i) L'infiltration lymphocytaire dans différents organes non-lymphoïdes, comme l'estomac, les glandes salivaires et le foie. Des analyses complémentaires ont demontré que les lymphocytes B étaient prédominants dans ces structures lymphoïdes tertiaires. ii) Des structures de ganglions lymphatiques ectopiques contenant des lymphocytes B et T ont été trouvées près des ganglions lymphatiques inguinaux. iii) Les souris doubles TG présentent un syndrome de résorption osseuse sévère probablement dû à l'effet pro-osteoclaste d'IL-7. Globalement, ces résultats montrent que IL-7 joue un rôle clé dans l'homéostasie des cellules inductrices dans la génèse de PP de l'intestin, dans la formation des tissus lymphoïdes ectopiques et dans la résorption osseuse.

A class of stochastic games with infinitely many interacting agents related to Glauber dynamics on random graphs

We introduce and study a class of infinite-horizon nonzero-sum non-cooperative stochastic games with infinitely many interacting agents using ideas of statistical mechanics. First we show, in the general case of asymmetric interactions, the existence of a strategy that allows any player to eliminate losses after a finite random time. In the special case of symmetric interactions, we also prove that, as time goes to infinity, the game converges to a Nash equilibrium. Moreover, assuming that all agents adopt the same strategy, using arguments related to those leading to perfect simulation algorithms, spatial mixing and ergodicity are proved. In turn, ergodicity allows us to prove “fixation”, i.e. that players will adopt a constant strategy after a finite time. The resulting dynamics is related to zerotemperature Glauber dynamics on random graphs of possibly infinite volume.

On locally finite transitive two-ended digraphs

Projecte de recerca elaborat a partir d’una estada al Department de Matemàtica Aplicada de la Montanuniversität Leoben, Àustria, entre agost i desembre del 2006. L’ objectiu ha estat fer recerca sobre digrafs infinits amb dos finals, connexos i localment finits, i, en particular, en digrafs amb dos finals i altament arc-transitius. Malnic, Marusic et al. van introduir un nou tipus de relació d’equivalència en els vèrtexs d’un dígraf, anomenades relacions d’assolibilitat, que generalitzen i tenen el seu origen en un problema posat per Cameron et al., on les classes de la relació d’equivalència eren vèrtexs que pertanyien a un camí alternat del dígraf . Malnic et al. en el mencionat article van establir connexions ben estretes entre aquestes relacions d’assolibilitat i l'estructura de finals i creixement dels digrafs localment finits i transitius. En aquest treball, s’ha caracteritzat per complet aquestes relacions d’assolibitat en el cas de dígrafs localment finits i transitius amb exactament dos finals, en termes de la descomposició en números primers del número de línies que genera el digraf amb dos finals. A més, es nega la Conjectura 1 sostinguda per Seifter que afirmava que un digraf connex localment finit amb més d’un final era necessàriament o be 0-, 1- o altament arc-transitiu. Seifer havia donat una solució parcial a la conjectura pel cas de digrafs regulars amb grau primer que tinguin un conjunt de tall connex. En aquest treball, es descriu una família infinita de dígrafs regulars de grau dos, amb dos finals, exactament 2-arc transitius i no 3-arc transitius. Així, es nega la Conjectura de Seifter en el cas general, fins i tot per grau primer. Tot i així, la solució parcial donada per Seifter en el seu article és en cert sentit la millor possible i l'existència un conjunt de tall connex essencial.

Heteroclinic orbits for a class of Hamiltonian systems on Riemannian manifolds

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Direct binding of peptides to MHC class I molecules on living cells. Analysis at the single cell level.

To directly assess the binding of exogenous peptides to cell surface-associated MHC class I molecules at the single cell level, we examined the possibility of combining the use of biotinylated peptide derivatives with an immunofluorescence detection system based on flow cytometry. Various biotinylated derivatives of the adenovirus 5 early region 1A peptide 234-243, an antigenic peptide recognized by CTL in the context of H-2Db, were first screened in functional assays for their ability to bind efficiently to Db molecules on living cells. Suitable peptide derivatives were then tested for their ability to generate positive fluorescence signals upon addition of phycoerythrin-labeled streptavidin to peptide derivative-bearing cells. Strong fluorescent staining of Db-expressing cells was achieved after incubation with a peptide derivative containing a biotin group at the C-terminus. Competition experiments using the unmodified parental peptide as well as unrelated peptides known to bind to Kd, Kb, or Db, respectively, established that binding of the biotinylated peptide to living cells was Db-specific. By using Con A blasts derived from different H-2 congenic mouse strains, it could be shown that the biotinylated peptide bound only to Db among > 20 class I alleles tested. Moreover, binding of the biotinylated peptide to cells expressing the Dbm13 and Dbm14 mutant molecules was drastically reduced compared to Db. Binding of the biotinylated peptide to freshly isolated Db+ cells was readily detectable, allowing direct assessment of the relative amount of peptide bound to distinct lymphocyte subpopulations by three-color flow cytometry. While minor differences between peripheral T and B cells could be documented, thymocytes were found to differ widely in their peptide binding activity. In all cases, these differences correlated positively with the differential expression of Db at the cell surface. Finally, kinetic studies at different temperatures strongly suggested that the biotinylated peptide first associated with Db molecules available constitutively at the cell surface and then with newly arrived Db molecules.

Class-size Reduction Policies and the Quality of Entering Teachers

State-wide class-size reduction (CSR) policies have typically failed to produce large achievement gains. One explanation is that the introduction of such policies forces schools to hire relatively low-quality teachers. This paper uses data from an anonymous state to explore whether teacher quality suff ered from the introduction of CSR. We find that it did, but not nearly enough to explain the small achievement effects of CSR. The combined fall in achievement due to hiring lower quality teachers and more inexperienced teachers is small relative to the unrealized gains. Furthermore, between-school diff erences in the quality of incoming teachers cannot explain the poor estimated CSR performance from previous quasi-experimental treatment-control comparisons.

Immunopathology of american cutaneous leishmaniasis. Modulation of MHC class II gene products by Keratinocytes before and after glucantime therapy

Epidermal changes from 32 cutaneous and 3 mucosal American leishmaniasis (ACL) active lesions were studied for HLA-DR, -DP expression, Lanerhans cells and lymphocyte infiltration. In addition to a DR and DQ positivity at the surface of the cells of the inflammatory infiltrate, a strong reaction for DR antigens was detected on keratinocytes. Hyperplasia of Langerhans cells was present in al cutaneous lesions and epidermis was infiltrated by T lymphocytes. When healed lesions of 14 of these subjects were re-biopsied 1 to 12 months after the end of pentavalent antimonial therapy, MHC class antigens could no longer be seen on keratinocytes. Our data represrn evidence for hhe reversibility of the abnormal HLA-DR expression by keratinocytes in ACL after Glucantime therapy or spontaneous scar formation, demonstrating that this expresion is restricted to the period of active lesions. The present findings can be regarded as an indirect evidence that keratinocytes may be involved in the immunopathology of ACL.

Revisiting the specificity of the MHC class II transactivator CIITA in vivo.

CIITA is a master regulatory factor for the expression of MHC class II (MHC-II) and accessory genes involved in Ag presentation. It has recently been suggested that CIITA also regulates numerous other genes having diverse functions within and outside the immune system. To determine whether these genes are indeed relevant targets of CIITA in vivo, we studied their expression in CIITA-transgenic and CIITA-deficient mice. In contrast to the decisive control of MHC-II and related genes by CIITA, nine putative non-MHC target genes (Eif3s2, Kpna6, Tap1, Yars, Col1a2, Ctse, Ptprr, Tnfsf6 and Plxna1) were found to be CIITA independent in all cell types examined. Two other target genes, encoding IL-4 and IFN-gamma, were indeed found to be up- and down-regulated, respectively, in CIITA-transgenic CD4(+) T cells. However, there was no correlation between MHC-II expression and this Th2 bias at the level of individual transgenic T cells, indicating an indirect control by CIITA. These results show that MHC-II-restricted Ag presentation, and its indirect influences on T cells, remains the only pathway under direct control by CIITA in vivo. They also imply that precisely regulated MHC-II expression is essential for maintaining a proper Th1-Th2 balance.

Selective abrogation of major histocompatibility complex class II expression on extrahematopoietic cells in mice lacking promoter IV of the class II transactivator gene.

MHC class II (MHCII) molecules play a pivotal role in the induction and regulation of immune responses. The transcriptional coactivator class II transactivator (CIITA) controls MHCII expression. The CIITA gene is regulated by three independent promoters (pI, pIII, pIV). We have generated pIV knockout mice. These mice exhibit selective abrogation of interferon (IFN)-gamma-induced MHCII expression on a wide variety of non-bone marrow-derived cells, including endothelia, epithelia, astrocytes, and fibroblasts. Constitutive MHCII expression on cortical thymic epithelial cells, and thus positive selection of CD4(+) T cells, is also abolished. In contrast, constitutive and inducible MHCII expression is unaffected on professional antigen-presenting cells, including B cells, dendritic cells, and IFN-gamma-activated cells of the macrophage lineage. pIV(-/-) mice have thus allowed precise definition of CIITA pIV usage in vivo. Moreover, they represent a unique animal model for studying the significance and contribution of MHCII-mediated antigen presentation by nonprofessional antigen-presenting cells in health and disease.

Stochastic demography and the neutral substitution rate in class-structured populations.

The neutral rate of allelic substitution is analyzed for a class-structured population subject to a stationary stochastic demographic process. The substitution rate is shown to be generally equal to the effective mutation rate, and under overlapping generations it can be expressed as the effective mutation rate in newborns when measured in units of average generation time. With uniform mutation rate across classes the substitution rate reduces to the mutation rate.

Mini-review: Specificity and expression of CIITA, the master regulator of MHC class II genes.

The class II transactivator (CIITA) has been referred to as the "master control factor" for the expression of MHC class II (MHCII) genes. As our knowledge on the specificity and function of CIITA grows, it is becoming increasingly evident that this sobriquet is entirely justified. First, despite extensive investigations, the major target genes of CIITA remain those implicated in the presentation of antigenic peptides by MHCII molecules. Although other putative target genes have been reported, the contribution of CIITA to their expression remains indirect, controversial or comparatively minor relative to its decisive role as a regulator of MHCII and related genes. Second, the most important parameter dictating MHCII expression is by far the expression pattern of the gene encoding CIITA (MHC2TA). The vast majority of signals that activate or repress MHCII expression under physiological and pathological situations converge on one or more of the three alternative promoters that drive transcription of the MHC2TA gene. In short, with respect to its specificity and its exquisitely controlled pattern of expression, CIITA is by a long stretch the single most important transcription factor for the regulation of genes required for MHCII-restricted antigen-presentation.

Direct analysis of peptide binding to cell-associated MHC class I molecules.

Exogenously added synthetic peptides can mimic endogenously produced antigenic peptides recognized on target cells by MHC class I-restricted cytolytic T lymphocytes. While it is assumed that exogenous peptides associate with class I molecules on the target cell surface, direct binding of peptides to cell-associated class I molecules has been difficult to demonstrate. Using a newly developed binding assay based on photoaffinity labeling, we have investigated the interaction of two antigenic peptides, known to be recognized in the context of H-2Kd or H-2Db, respectively, with 20 distinct class I alleles on living cells. None of the class I alleles tested, with the exception of H-2Kd or H-2Db, bound either of the peptides, thus demonstrating the exquisite specificity of peptide binding to class I molecules. Moreover, peptide binding to cell-associated H-2Kd was drastically reduced when metabolic energy, de novo protein synthesis or protein egress from the endoplasmic reticulum was inhibited. It is thus likely that exogenously added peptides do not associate with the bulk of class I molecules expressed at the cell surface, but rather bind to short-lived molecules devoid of endogenous peptides.