963 resultados para Constitutive Equation
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Notch signaling is important in angiogenesis during embryonic development. However, the embryonic lethal phenotypes of knock-out and transgenic mice have precluded studies of the role of Notch post-natally. To develop a mouse model that would bypass the embryonic lethal phenotype and investigate the possible role of Notch signaling in adult vessel growth, we developed transgenic mice with Cre-conditional expression of the constitutively active intracellular domain of Notch1 (IC-Notch1). Double transgenic IC-Notch1/Tie2-Cre embryos with endothelial specific IC-Notch1 expression died at embryonic day 9.5. They displayed collapsed and leaky blood vessels and defects in angiogenesis development. A tetracycline-inducible system was used to express Cre recombinase postnatally in endothelial cells. In adult mice, IC-Notch1 expression inhibited bFGF-induced neovascularization and female mice lacked mature ovarian follicles, which may reflect the block in bFGF-induced angiogenesis required for follicle growth. Our results demonstrate that Notch signaling is important for both embryonic and adult angiogenesis and indicate that the Notch signaling pathway may be a useful target for angiogenic therapies.
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Patients suffering from cystic fibrosis (CF) show thick secretions, mucus plugging and bronchiectasis in bronchial and alveolar ducts. This results in substantial structural changes of the airway morphology and heterogeneous ventilation. Disease progression and treatment effects are monitored by so-called gas washout tests, where the change in concentration of an inert gas is measured over a single or multiple breaths. The result of the tests based on the profile of the measured concentration is a marker for the severity of the ventilation inhomogeneity strongly affected by the airway morphology. However, it is hard to localize underlying obstructions to specific parts of the airways, especially if occurring in the lung periphery. In order to support the analysis of lung function tests (e.g. multi-breath washout), we developed a numerical model of the entire airway tree, coupling a lumped parameter model for the lung ventilation with a 4th-order accurate finite difference model of a 1D advection-diffusion equation for the transport of an inert gas. The boundary conditions for the flow problem comprise the pressure and flow profile at the mouth, which is typically known from clinical washout tests. The natural asymmetry of the lung morphology is approximated by a generic, fractal, asymmetric branching scheme which we applied for the conducting airways. A conducting airway ends when its dimension falls below a predefined limit. A model acinus is then connected to each terminal airway. The morphology of an acinus unit comprises a network of expandable cells. A regional, linear constitutive law describes the pressure-volume relation between the pleural gap and the acinus. The cyclic expansion (breathing) of each acinus unit depends on the resistance of the feeding airway and on the flow resistance and stiffness of the cells themselves. Special care was taken in the development of a conservative numerical scheme for the gas transport across bifurcations, handling spatially and temporally varying advective and diffusive fluxes over a wide range of scales. Implicit time integration was applied to account for the numerical stiffness resulting from the discretized transport equation. Local or regional modification of the airway dimension, resistance or tissue stiffness are introduced to mimic pathological airway restrictions typical for CF. This leads to a more heterogeneous ventilation of the model lung. As a result the concentration in some distal parts of the lung model remains increased for a longer duration. The inert gas concentration at the mouth towards the end of the expirations is composed of gas from regions with very different washout efficiency. This results in a steeper slope of the corresponding part of the washout profile.
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We study the relativistic version of the Schrödinger equation for a point particle in one dimension with the potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initial calculations show that the reciprocal of the bare coupling constant is ultraviolet divergent, and the resultant expression cannot be renormalized in the usual sense, where the divergent terms can just be omitted. Therefore, a general procedure has been developed to derive different physical properties of the system. The procedure is used first in the nonrelativistic case for the purpose of clarification and comparisons. For the relativistic case, the results show that this system behaves exactly like the delta function potential, which means that this system also shares features with quantum filed theories, like being asymptotically free. In addition, in the massless limit, it undergoes dimensional transmutation, and it possesses an infrared conformal fixed point. The comparison of the solution with the relativistic delta function potential solution shows evidence of universality.
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The intracellular protozoan parasites Theileria parva and Theileria annulata transform leucocytes by interfering with host cell signal transduction pathways. They differ from tumour cells, however, in that the transformation process can be entirely reversed by elimination of the parasite from the host cell cytoplasm using a specific parasiticidal drug. We investigated the state of activation of Akt/PKB, a downstream target of PI3-K-generated phosphoinositides, in Theileria-transformed leucocytes. Akt/PKB is constitutively activated in a PI3-K- and parasite-dependent manner, as judged by the specific phosphorylation of key residues, in vitro kinase assays and its cellular distribution. In previous work, we demonstrated that the parasite induces constitutive activation of the transcription factor NF-kappaB, providing protection against spontaneous apoptosis that accompanies transformation. In a number of other systems, a link has been established between the PI3-K-Akt/PKB pathway and NF-kappaB activation, resulting in protection against apoptosis. In Theileria-transformed leucocytes, activation of the NF-kappaB and the PI3-K-Akt/PKB pathways are not directly linked. The PI3-K-Akt/PKB pathway does not contribute to the persistent induction of IkappaBalpha phosphorylation, NF-kappaB DNA-binding or transcriptional activity. We show that the two pathways are downregulated with different kinetics when the parasite is eliminated from the host cell cytoplasm and that NF-kappaB-dependent protection against apoptosis is not dependent on a functional PI3-K-Akt/PKB pathway. We also demonstrate that Akt/PKB contributes, at least in part, to the proliferation of Theileria-transformed T cells.
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Theileria parva-infected lymphoblastoid cell lines of T or B cell origin were examined for IL-2 mRNA expression. T. parva-infected T cell lines could be of the CD4-CD8-, CD4+CD8-, CD4-CD8+, or CD4+CD8+ phenotype and express alpha beta or gamma delta TCR. By Northern blot analysis and amplification by the polymerase chain reaction, IL-2 mRNA could be detected in all T. parva-infected cell lines tested. IL-2 mRNA expression was also shown to be dependent on the continuous presence of the parasite in the host cell cytoplasm, because elimination of the parasite by treatment of T. parva-infected cell cultures with the theilericidal drug BW720c resulted in the disappearance of detectable IL-2 mRNA. The effect of anti-IL-2 antibodies on the proliferation of T. parva-infected cells was also tested. Inhibition experiments suggest that although IL-2 mRNA can be detected in all cell lines tested, not all T. parva-infected cell lines are dependent on IL-2 for their proliferation. Our data provide the first example for the constitutive expression of IL-2 mRNA in T and B cells caused by infection with an intracellular parasite.
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The 1937 paper of Gronwall which concerns an alternative form for the Schrodinger Equation of the 2-electron Helium problem is re-derived in a (hopefully) transparent (possibly pedestrian) manner.
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The Frobenius solution to Legendre/s equation is developed in detail as is Rodrigue's formula, which is employed to normalize Legendre polynomials.
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The continued fraction method for solving differential equations is illustrated using three famous differential equations used in quantum chemistry.
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An elementary derivation of the wave equation as applied to violin strings is given.
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In teaching elementary quantum chemistry, the concept of eigenfunctionality is explored using the H-atom's Hamiltonian and various guessed functions. This is done in Cartesian coordinates, in Spherical Polar coordinates, and in Confocal Elliptical coordinates.
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Several studies indicate that interleukin-6 (IL-6) production is elevated in renal cell carcinoma (RCC) cells, and that IL-6 can serve as an autocrine growth factor in this malignancy. Wild type (wt) p53 represses transcription from the IL-6 promoter in an inducible system. The objective of this study was to determine the role of p53 in regulating constitutive IL-6 production in RCC cells. RCC cell lines containing mutant (mut) p53 produced significantly higher levels of IL-6 than those containing wt p53 (p < 0.05). Transfection of wt p53 into RCC cell lines resulted in significant repression of IL-6 promoter CAT activity p < 0.05). Mutant p53 was less effective at repressing IL-6 promoter activity in ACHN cells, and actually enhanced IL-6 promoter activity in the A498 cell line. A498 cells stably transfected with mutant p53 produced significantly higher levels of IL-6 than A498 cells transfected with an empty expression vector (p < 0.05). Electrophoretic mobility shift assay showed a significant decrease in binding of C/EBP, CREB, and NF-kB transcription factors to the IL-6 promoter in A498 cells transfected with wt p53. Mut p53 was unable to inhibit transcription factor binding to the IL-6 promoter in these cells. Mutant p53-expressing UOK 121LN cells showed decreased binding of C/EBP and CREB, but not NF-kB, following wt p53 transfection. These data suggest that (i) mutation of p53 contributes to the over-expression of IL-6 in RCC; and (ii) wt p53 represses IL-6 expression at least in part by interfering with the binding of C/EBP, CREB, and in some cases, NF-kB transcription factors to the IL-6 promoter. ^
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Microsatellite instability (MSI) is a hallmark of the mutator phenotype associated with Hereditary Non-Polyposis Colon Cancer (HNPCC). The MSI-High (MSI-H) HNPCC population has been well characterized, but the microsatellite low and stable (MSI-L/MSS) HNPCC population is much less understood. We hypothesize there are significant levels of MSI in HNPCC DNA classified as MSI-L/MSS, but no single variant allele makes up a sufficient population in the tumor DNA to be detected by standard analysis. Finding variants would suggest there is a mutator phenotype for the MSI-L/MSS HNPCC population that is distinct from the MSI-H HNPCC populations. This study quantified and compared MSI in HNPCC patients previously shown to be MSI-H, MSI-L/MSS and an MSI-H older, sporadic colorectal cancer patient. Small-pool Polymerase Chain Reactions (SP-PCRs) were conducted where the DNAs from each sample and controls are diluted into multiple pools, each containing approximately single genome equivalents. At least 100 alleles/sample were studied at six microsatellite loci. Mutant fragments were identified, quantified, and compared using Poisson statistics. Most of the variants were small deletions or insertions, with more mutants being deletions, as has been previously described in yeast and transgenic mice. SP-PCR, where most of the pools contained only 3 or less fragments, enabled identification of variants too infrequent to be detected by large pool PCR. Mutant fragments in positive control MSI-H tumor samples ranged from 0.26 to 0.68 in at least 4 of the 6 loci tested and were consistent with their MSI-H status. In the so called MSS tumors and constitutive tissues (normal colon tissue, and PBLs) of all the HNPCC patients, low, but significant levels of MSI were seen in at least two of the loci studied. This phenomenon was not seen in the sporadic MSI constitutive tissues nor the normal controls and suggests haploinsufficiency, gain-of-function, or a dominant/negative basis of the instability in HNPCC patients carrying germline mutations for tumor suppressor genes. A different frequency and spectrum of mutant fragments suggests a different genetic basis (other than a major mutation in MLH1 or MSH2) for disease in MSI-L and MSS HNPCC patients. ^
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Little is known about the impact of ocean acidification on predator-prey dynamics. Herein, we examined the effect of carbon dioxide (CO(2)) on both prey and predator by letting one predatory reef fish interact for 24 h with eight small or large juvenile damselfishes from four congeneric species. Both prey and predator were exposed to control or elevated levels of CO(2). Mortality rate and predator selectivity were compared across CO(2) treatments, prey size and species. Small juveniles of all species sustained greater mortality at high CO(2) levels, while large recruits were not affected. For large prey, the pattern of prey selectivity by predators was reversed under elevated CO(2). Our results demonstrate both quantitative and qualitative consumptive effects of CO(2) on small and larger damselfish recruits respectively, resulting from CO(2)-induced behavioural changes likely mediated by impaired neurological function. This study highlights the complexity of predicting the effects of climate change on coral reef ecosystems.