80 resultados para fält


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Cooling of equine semen obtained from some stallions results in lower seminal quality and viability when the seminal plasma (SP) is present. The objective of this study was to evaluate the effect of the removal of SP using a Sperm Filter on the viability of cooled stallion semen. For this purpose, 31 stallions were used. Their ejaculates were divided into three groups: CN, semen was diluted with an extender; FLT, SP was removed by filtration; and CT, SP was removed by centrifugation and cooled to 15°C for 24 hours. Sperm kinetics and plasma membrane integrity were evaluated immediately after collection (T0) and after 24 hours of refrigeration (T1). No difference (P > .05) was noted at T1 for total sperm motility (TM), progressive sperm motility, or plasma membrane integrity when semen samples from all the stallions were analyzed. However, when samples from stallions termed bad coolers were analyzed (TM = <30% at T1), a difference was observed in TM and progressive sperm motility for CN compared with FLT and CT at T1. Sperm recovery was greater when SP was removed using the filter (FLT) to that when the SP was removed by centrifugation (CN) (89% vs. 81%). Thus, we concluded that filtering with a Sperm Filter is an efficient and practical method for removal of SP from stallion ejaculates, with lower sperm loss than centrifugation. We also found that the presence of SP reduces the quality and viability of cooled semen from stallions whose semen is sensitive to the process of refrigeration. © 2013 Elsevier Inc.

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Os Hidrocarbonetos Policíclicos Aromáticos (HPAs) são poluentes de efeito tóxico, prejudiciais ao meio ambiente e à saúde humana, fazem parte de um grupo de compostos poluentes orgânicos persistentes (POPs), que por suas características tem impactado o ambiente, sendo por esse motivo bastante estudados. Podem estar presentes nas formas particulada, dissolvida e/ou gasosa, estando presentes em diferentes ambientes; solo, sedimento, ar, água, material particulado na atmosfera, organismos e alimentos (Kennish, 2007). As fontes naturais de HPAs incluem atividades vulcânicas, queimadas naturais, exsudação de óleos, além de processos biogênicos. HPAs antrogênicos podem ocorrer pela combustão incompleta de óleos combustíveis (automotores e industriais), queima intencional de madeira e plantações, efluentes domésticos e/ou industriais, drenagens pluviais urbanas, derrames acidentais de óleos e derivados. Hidrofóbicos e lipofílicos, essas substâncias podem ser facilmente adsorvidas em sedimentos, sendo este compartimento um importante reservatório desses poluentes. Para avaliar a presença desses compostos no ambiente, utilizou-se nesse trabalho a Cromatografia Líquida de Alta Eficiência. As amostras utilizadas no desenvolvimento e otimização da metodologia foram coletadas na baia do Guajará (Belém – PA). O presente trabalho constituiu-se dessa forma em um desenvolvimento de um procedimento metodológico (com adaptações e otimizações) para quantificar 16 HPAs em 10 pontos na baia do Guajará, Belém – PA, em duas etapas de campo, totalizando 20 amostras analisadas. Na etapa de desenvolvimento do método analítico foram testados sistemas de eluição, polaridade do sistema e fluxo do eluente entre outros. Para validação do método foram avaliados os parâmetros fidelidade, linearidade, limite de detecção, limite de quantificação do método. Razões diagnósticas foram calculadas para identificação das fontes primárias do HPAs encontrados na baia. Foram identificadas, a partir de razões diagnósticas da ΣHPAs BMM/ΣHPAsAMM; Fen/Ant; Flt/Pir; Ant/Σ178; Flt/Σ202; B(a)P/Σ228 e Ind(123cd) pireno/Σ276 as fontes primárias dos 16 HPAs estudados no sedimento da baia. A somatória das concentrações dos HPAs leves na primeira etapa de campo, variou de 132,13 ng.g-1 a 1704,14 ng.g-1, a ΣHPAs dos pesados de 125,82 g.g-1 a 1269,71 ng.g-1 e ΣHPAs totais de 317,84 ng.g-1 a 3117,06 ng.g-1.. Na segunda etapa de campo, as concentrações dos HPAs leves variou de 76,12 ng.g-1 a 1572,80 ng.g-1 ; a ΣHPAs pesados variou entre 213,90 ng.g-1 a 1423,03 ng.g-1, e Σ HPAs totais teve concentrações de 290,02 ng.g-1 a 2995,82 ng.g-1. A partir dos resultados obtidos pode-se classificar a baia do Guajará como moderadamente impactada. A combustão constitui a fonte predominante de HPAs nos sedimentos da baia do Guajará, seguida da combustão de biomassa vegetal e aporte de petróleo e derivados. A maioria dos pontos estudados nesse trabalho, nas duas etapas de campo, apresentaram concentrações de HPAs individuais acima dos VGQS.

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Verschiedene Krankheiten gehen mit einer fehlerhaften Vaskularisierung einher. Allerdings ist der Erfolg der derzeitig vorhandenen Therapieansätze, die sich z.B. auf VEGF fokussieren, beschränkt. Aus diesem Grund ist es wichtig, neue Strategien zur Regulation der Angiogenese zu entwickeln. Hierbei stehen neue Signaltransduktions-wege im Fokus, die sich als vielversprechend erweisen, um Angiogenese zu fördern oder zu inhibieren. Die Blutgefäßneubildung ist ein hochregulierter Prozess, der mit einer hohen Proteinsyntheserate verknüpft ist. Die Angiogenese wurde bereits mit dem ER-Stress Signaltransduktionsweg, der Unfolded Protein Response (UPR), in Verbindung gebracht (Zeng et al., 2013; Bouvier et al., 2012). Eine im Rahmen der vorliegenden Studie durchgeführte histologische Untersuchung konnte eine Fehlregulierung der Expression von UPR beteiligten Proteinen in vivo unter pathologischen Bedingungen gezeigt werden. Bemerkenswerter Weise war BiP, der Hauptsensor der UPR, in Endothelzellen von Angiosarkomen sehr stark exprimiert. In in vitro Experimenten wurde gezeigt, dass das Herunterregulieren von BiP mittels RNAi Einfluss auf die inflammatorische Antwort und die Bildung angiogener Strukturen in Endothelzellen nimmt. Das Herunterregulieren des Proteins BiP verstärkte die inflammatorische Antwort von HUVEC, was sich in einer gesteigerten Bildung von IL-8 und ICAM-1 äußerte und wurde auf die Aktivierung der UPR durch die verringerte Menge an BiP zurückgeführt. Der Phänotyp BiP-herunterregulierter Zellen entsprach dem untransfizierter Zellen, welcher durch das Cytoskelett und die Expression des endothelspezifischen Markers CD31 charakterisiert wurde. Im Gegensatz dazu änderte sich der Grad der Glykosylierung in transfizierten Zellen. Im Hinblick auf die Blutgefäßbildung, zeigten sich eine gehemmte Migration und eine inhibierte Bildung Gefäß-ähnlicher Strukturen in BiP-herunterregulierten Zellen. In diesen Zellen war die Expression von KDR auffallend stark inhibiert, wohingegen die Flt-1 Expression sich als gleichbleibend herausstellte, was ebenfalls auf die Aktivierung der UPR zurückgeführt werden konnte. Alternativ wäre der reduzierte Level des Proteins BiP im Hinblick auf die Funktion als Helferenzym in der Proteinfaltung eine mögliche Erklärung für die gehemmte Expression von KDR. Die Ergebnisse dieser Studie deuten darauf hin, dass stabile Spiegel von BiP die Regulierung der Angiogenese durch die Kontrolle der UPR in physiologischen Prozessen unterstützen könnte. Eine Fehlregulierung von BiP durch Unterdrückung der UPR, wie z.B. in malignen Tumoren, könnte Tumorzellen und beteiligten Endothelzellen einen Vorteil verschaffen und zu einer gestörten Vaskularisierung führen. Somit stellt das Stresssensorprotein BiP und die UPR einen potentiellen Angriffspunkt für die Regulation der Angiogenese dar.

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Recently, we demonstrated that circulating levels of vascular endothelial growth factor (VEGF) and placental growth factor (PlGF) are increased in sepsis (Yano, K., P.C. Liaw, J.M. Mullington, S.C. Shih, H. Okada, N. Bodyak, P.M. Kang, L. Toltl, B. Belikoff, J. Buras, et al. 2006. J. Exp. Med. 203:1447-1458). Moreover, enhanced VEGF/Flk-1 signaling was shown to contribute to sepsis morbidity and mortality. We tested the hypothesis that PlGF also contributes to sepsis outcome. In mouse models of endotoxemia and cecal ligation puncture, the genetic absence of PlGF or the systemic administration of neutralizing anti-PlGF antibodies resulted in higher mortality compared with wild-type or immunoglobulin G-injected controls, respectively. The increased mortality associated with genetic deficiency of PlGF was reversed by adenovirus (Ad)-mediated overexpression of PlGF. In the endotoxemia model, PlGF deficiency was associated with elevated circulating levels of VEGF, induction of VEGF expression in the liver, impaired cardiac function, and organ-specific accentuation of barrier dysfunction and inflammation. Mortality of endotoxemic PlGF-deficient mice was increased by Ad-mediated overexpression of VEGF and was blocked by expression of soluble Flt-1. Collectively, these data suggest that up-regulation of PlGF in sepsis is an adaptive host response that exerts its benefit, at least in part, by attenuating VEGF signaling.

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Crosstalk between elements of the sinusoidal vasculature, platelets and hepatic parenchymal cells influences regenerative responses to liver injury and/or resection. Such paracrine interactions include hepatocyte growth factor (HGF), vascular endothelial growth factor (VEGF), IL-6 and small molecules such as serotonin and nucleotides. CD39 (nucleoside triphosphate diphosphohydrolase-1) is the dominant vascular ectonucleotidase expressed on the luminal surface of endothelial cells and modulates extracellular nucleotide signaling. We have previously shown that integrity of P2-receptors, as maintained by CD39, is required for angiogenesis in Matrigel plugs in vivo and that there is synergism between nucleotide P2-receptor- and growth factor-mediated cell proliferation in vitro. We have now explored effects of CD39 on liver regeneration and vascular endothelial growth factor responses in a standard small animal model of partial hepatectomy. The expression of CD39 on liver sinusoidal endothelial cells (LSEC) is substantially boosted during liver regeneration. This transcriptional upregulation precedes maximal sinusoidal endothelial cell proliferation, noted at day 5-8 in C57BL6 wild type mice. In matched mutant mice null for CD39 (n=14), overall survival is decreased to 71% by day 10. Increased lethality occurs as a consequence of extensive LSEC apoptosis, decreased endothelial proliferation and failure of angiogenesis leading to hepatic infarcts and regenerative failure in mutant mice. This aberrant vascular remodeling is associated with biochemical liver injury, elevated serum levels of VEGF (113.9 vs. 65.5pg/ml, p=0.013), and decreased circulating HGF (0.89 vs. 1.43 ng/ml, p=0.001) in mice null for CD39. In agreement with these observations, wild type LSEC but not CD39 null cultures upregulate HGF expression and secretion in response to exogenous VEGF in vitro. CD39 null LSEC cultures show poor proliferation responses and heightened levels of apoptosis when contrasted to wild type LSEC where agonists of P2Y receptors augment cell proliferation in the presence of growth factors. These observations are associated with features of P2Y-desensitization, normal levels of the receptor tyrosine kinase VEGFR-1 (Flt-1) and decreased expression of VEGFR-2 (FLK/KDR) in CD39 null LSEC cultures. We provide evidence that CD39 and extracellular nucleotides impact upon growth factor responses and tyrosine receptor kinases during LSEC proliferation. We propose that CD39 expression by LSEC might co-ordinate angiogenesis-independent liver protection by facilitating VEGF-induced paracrine release of HGF to promote vascular remodeling in liver regeneration.

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Platelets represent one of the largest storage pools of angiogenic and oncogenic growth factors in the human body. The observation that thrombocytosis (platelet count >450,000/uL) occurs in patients with solid malignancies was made over 100 years ago. However, the clinical and biological implications as well as the underlying mechanism of paraneoplastic thrombocytosis associated with ovarian carcinoma remains unknown and were the focus of the current study. Following IRB approval, patient data were collected on 619 patients from 4 U.S. centers and used to test associations between platelet count at initial diagnosis, clinicopathologic factors, and outcome. In vitro effects of plasma-purified platelets on ovarian cancer cell proliferation, docetaxel-induced apoptosis, and migration were evaluated using BrdU-PI flow cytometric and two-chamber chemotaxis assays. In vivo effects of platelet depletion on tumor growth, proliferation, apoptosis, and angiogenesis were examined using an anti-platelet antibody (anti-mouse glycoprotein 1ba, Emfret) to reduce platelets by 50%. Complete blood counts and number of mature megakaryocytes in the spleen and bone marrow were compared between control mice and ovarian cancer-bearing mice. Plasma levels of key megakaryo- and thrombopoietic factors including thrombopoietin (TPO), IL-1a, IL-3, IL-4, IL-6, IL-11, G-CSF, GM-CSF, stem cell factor, and FLT-3 ligand were assayed in a subset of 150 patients at the time of initial diagnosis with advanced stage, high grade epithelial ovarian cancer using immunobead-based cytokine profiling coupled with the Luminex® xMAP platform. Plasma cytokines significantly associated with thrombocytosis in ovarian cancer patients were subsequently evaluated in mouse models of ovarian cancer using ELISA immunoassays. The results of human and mouse plasma cytokine profiling were used to inform subsequent in vivo studies evaluating the effect of siRNA-induced silencing of select megakaryo- and thrombopoietic cytokines on paraneoplastic thrombocytosis. Thirty-one percent of patients had thrombocytosis at initial diagnosis. Compared to patients with normal platelet counts, women with thrombocytosis were significantly more likely to have advanced stage disease (p<0.001) and poor median progression-free (0.94 vs 1.35 years, p<0.001) and overall survival (2.62 vs 4.65 years, p<0.001). On multivariate analysis, thrombocytosis remained an independent predictor of decreased overall survival. Our analysis revealed that thrombocytosis significantly increases the risk of VTE in ovarian cancer patients and that thrombocytosis is an independent predictor of increased mortality in women who do develop a blood clot. Platelets increased ovarian cancer cell proliferation and migration by 4.1- and 2.8-fold (p<0.01), respectively. Platelets reduced docetaxel-induced apoptosis in ovarian cancer cells by 2-fold (p<0.001). In vivo, platelet depletion reduced tumor growth by 50%. Staining of in vivo specimens revealed decreased tumor cell proliferation (p<0.001) and increased tumor and endothelial cell apoptosis (p<0.01). Platelet depletion also significantly decreased microvessel density and pericyte coverage (p<0.001). Platelet counts increase by 31-130% in mice with invasive ovarian cancer compared to controls (p<0.01) and strongly correlate with mean megakaryocyte counts in the spleen and bone marrow (r=0.95, p<0.05). Plasma levels of TPO, IL-6, and G-CSF were significantly increased in ovarian cancer patients with thrombocytosis. Plasma levels of the same cytokines were found to be significantly elevated in orthotopic mouse models of ovarian cancer, which consistently develop paraneoplastic thromocytosis. Silencing TPO, IL-6, and G-CSF significantly abrogated paraneoplastic thrombocytosis in vivo. This study provides new understanding of the clinical and biological significance of paraneoplastic thrombocytosis in ovarian cancer and uncovers key humoral factors driving this process. Blocking the development of paraneoplastic thrombocytosis and interfering with platelet-cancer cell interactions could represent novel therapeutic strategies.

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Positron emission tomography (PET)-computed tomography (CT) using [18F]-fluorodeoxyglucose (FDG) (FDG-PET/CT) is a valuable method for initial staging and follow up of patients with alveolar echinococcosis (AE). However, the cells responsible for FDG uptake have not been clearly identified. The main goal of our study was to evaluate the uptake of PET tracers by the cells involved in the host-parasite reaction around AE lesions as the first step to develop a specific PET tracer that would allow direct assessment of parasite viability in AE. Candidate molecules ([18F]-fluorotyrosine (FET), [18F]-fluorothymidine (FLT), and [18F]-fluorometylcholine (FMC), were compared to FDG by in vitro studies on human leukocytes and parasite vesicles. Our results confirmed that FDG was mainly consumed by immune cells and showed that FLT was the best candidate tracer for parasite metabolism. Indeed, parasite cells exhibited high uptake of FLT. We also performed PET/CT scans in mice infected intraperitoneally with E. multilocularis metacestodes. PET images showed no FDG or FLT uptake in parasitic lesions. This preliminary study assessed the metabolic activity of human leukocytes and AE cells using radiolabeling. Future studies could develop a specific PET tracer for AE lesions to improve lesion detection and echinococcosis treatment in patients. Our results demonstrated that a new animal model is needed for preclinical PET imaging to better mimic human hepatic and/or periparasitic metabolism.

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Mitogen-activated protein kinase (MAPK) cascades are conserved eukaryotic signaling modules consisting of a MAPK, a MAPKK and a MAP3K. MAPK cascades are involved in many cellular responses including proliferation, differentiation, apoptosis, stress and immune responses. ^ The first part of this thesis describes the cloning and biochemical analysis of JNKK2, a member of MAPKK gene family. Our results demonstrate that JNKK2 is a specific JNK activator and activates the JNK-dependent signal transduction pathway in vivo by inducing c-Jun and ATF2-mediated gene expression. We also found that JNKK2 is specifically activated by a MAP3K MEKK2 through formation of MEKK2-JNKK2-JNK1 triple complex module. JNKK2 is likely to mediate specific upstream signals to activate JNK cascade. ^ The second part of this thesis describes biochemical and gene disruption analysis of MEKK3, a member of MAP3K gene family. We showed that overexpression of MEKK3 strongly activates both JNK and p38 MAPKs but only weakly activates ERK. MEKK−/− embryos die at about embryonic day (E) 11. MEKK3−/− embryos displayed defects in blood vessel development in the yolk sacs, and in the myocardium and endocardium development at E9.5. The angiogenesis in the head, intersomitic region and placenta was also abnormal. These results demonstrate that MEKK3, a member of MAP3K MEKK/STE11 subgene family, is essential for early embryonic cardiovascular development. Furthermore, it was found that disruption of MEKK3 did not alter the expression of vascular endothelial growth factor-1 (VEGF-1), angiopoietin-1, -2 and their respective receptors Flt-1, Flk-1, Tie-1, Tie-2. Finally, MEKK3 was shown to activate myocyte-specific enhancer factor 2C (MEF2C), a crucial transcription factor for early embryonic cardiovascular development through the p38 MAPK cascade, suggesting that MEF2C is one of the key targets of the MEEKK3 signaling pathway during early embryonic cardiovascular development. ^

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Pockmarks are geological features that are found on the bottom of lakes and oceans all over the globe. Some are active, seeping oil or methane, while others are inactive. Active pockmarks are well studied since they harbor specialized microbial communities that proliferate on the seeping compounds. Such communities are not found in inactive pockmarks. Interestingly, inactive pockmarks are known to have different macrofaunal communities compared to the surrounding sediments. It is undetermined what the microbial composition of inactive pockmarks is and if it shows a similar pattern as the macrofauna. The Norwegian Oslo Fjord contains many inactive pockmarks and they are well suited to study the influence of these geological features on the microbial community in the sediment. Here we present a detailed analysis of the microbial communities found in three inactive pockmarks and two control samples at two core depth intervals. The communities were analyzed using high-throughput amplicon sequencing of the 16S rRNA V3 region. Microbial communities of surface pockmark sediments were indistinguishable from communities found in the surrounding seabed. In contrast, pockmark communities at 40 cm sediment depth had a significantly different community structure from normal sediments at the same depth. Statistical analysis of chemical variables indicated significant differences in the concentrations of total carbon and non-particulate organic carbon between 40 cm pockmark and reference sample sediments. We discuss these results in comparison with the taxonomic classification of the OTUs identified in our samples. Our results indicate that microbial surface sediment communities are affect by the water column, while the 40 cm communities are affect by local conditions within the sediment.

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Vascular endothelial growth factor (VEGF) is a secreted endothelial cell mitogen that has been shown to induce vasculogenesis and angiogenesis in many organ systems and tumors. Considering the importance of VEGF to embryonic vascularization and survival, the effects of administered VEGF on developing or adult cerebrovasculature are unknown: can VEGF alter brain angiogenesis or mature cerebrovascular patterns? To examine these questions we exposed fetal, newborn, and adult rat cortical slice explants to graduated doses of recombinant VEGF. The effects of another known angiogenic factor, basic fibroblast growth factor (bFGF), were evaluated in a comparable manner. In addition, we infused VEGF via minipump into the adult cortex. Significant angiogenic effects were found in all VEGF experiments in a dose-responsive manner that were abolished by the addition of VEGF neutralizing antibody. Fetal and newborn explants had a highly complex network of branched vessels that immunoexpressed the flt-1 VEGF receptor, and flk-1 VEGF receptor expression was determined by reverse transcription–PCR. Adult explants had enlarged, dilated vessels that appeared to be an expansion of the existing network. All bFGF-treated explants had substantially fewer vascular profiles. VEGF infusions produced both a remarkable localized neovascularization and, unexpectedly, the expression of flt-1 on reactive astrocytes but not on endothelial cells. The preponderance of neovascularization in vitro and in vivo, however, lacked the blood–brain barrier (BBB) phenotype marker, GLUT-1, suggesting that in brain the angiogenic role of VEGF may differ from a potential BBB functional role, i.e., transport and permeability. VEGF may serve an important capacity in neovascularization or BBB alterations after brain injury.

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Human hematopoiesis originates in a population of stem cells with transplantable lympho-myeloid reconstituting potential, but a method for quantitating such cells has not been available. We now describe a simple assay that meets this need. It is based on the ability of sublethally irradiated immunodeficient nonobese diabetic–scid/scid (NOD/SCID) mice to be engrafted by intravenously injected human hematopoietic cells and uses limiting dilution analysis to measure the frequency of human cells that produce both CD34−CD19+ (B-lymphoid) and CD34+ (myeloid) colony-forming cell progeny in the marrow of such recipients 6 to 8 weeks post-transplant. Human cord blood (CB) contains ≈5 of these competitive repopulating units (CRU) per ml that have a similar distribution between the CD38− and CD38+ subsets of CD34+ CB cells as long-term culture-initiating cells (LTC-IC) (4:1 vs. 2:1). Incubation of purified CD34+CD38− human CB cells in serum-free medium containing flt-3 ligand, Steel factor, interleukin 3, interleukin 6, and granulocyte colony-stimulating factor for 5–8 days resulted in a 100-fold expansion of colony-forming cells, a 4-fold expansion of LTC-IC, and a 2-fold (but significant, P < 0.02) increase in CRU. The culture-derived CRU, like the original CB CRU, generated pluripotent, erythroid, granulopoietic, megakaryopoietic, and pre-B cell progeny upon transplantation into NOD/SCID mice. These findings demonstrate an equivalent phenotypic heterogeneity amongst human CB cells detectable as CRU and LTC-IC. In addition, their similarly modest response to stimulation by a combination of cytokines that extensively amplify LTC-IC from normal adult marrow underscores the importance of ontogeny-dependent changes in human hematopoietic stem cell proliferation and self-renewal.

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bEND.3 cells are polyoma middle T-transformed mouse brain endothelial cells that express very little or no thrombospondin-1, a natural inhibitor of angiogenesis, but express high levels of platelet endothelial cell adhesion molecule-1 (PECAM-1) that localizes to sites of cell–cell contact. Here, we have examined the role of PECAM-1 in regulation of bEND.3 cell proliferation, migration, morphogenesis, and hemangioma formation. We show that down-regulating PECAM-1 expression by antisense transfection of bEND.3 cells has a dramatic effect on their morphology, proliferation, and morphogenesis on Matrigel. There is an optimal level for PECAM-1 expression such that high levels of PECAM-1 inhibit, whereas moderate levels of PECAM-1 stimulate, endothelial cell morphogenesis. The down-regulation of PECAM-1 in bEND.3 cells resulted in reexpression of endogenous thrombospondin-1 and its antiangiogenic receptor CD36. The expression of the vascular endothelial growth factor receptors flk-1 and flt-1, as well as integrins and metalloproteinases (which are involved in angiogenesis), were also affected. These observations are consistent with the changes observed in proliferation, migration, and adhesion characteristics of the antisense-transfected bEND.3 cells as well as with their lack of ability to form hemangiomas in mice. Thus, a reciprocal relationship exists between thrombospondin-1 and PECAM-1 expression, such that these two molecules appear to be constituents of a “switch” that regulates in concert many components of the angiogenic and differentiated phenotypes of endothelial cells.

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Let V be a p-adic representation of Gal(Q̄/Q). One of the ideas of Wiles’s proof of FLT is that, if V is the representation associated to a suitable autromorphic form (a modular form in his case) and if V′ is another p-adic representation of Gal(Q̄/Q) “closed enough” to V, then V′ is also associated to an automorphic form. In this paper we discuss which kind of local condition at p one should require on V and V′ in order to be able to extend this part of Wiles’s methods.