12 resultados para nonnegative matrix factorization

em ArchiMeD - Elektronische Publikationen der Universität Mainz - Alemanha


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Im Rahmen der Entwicklung einer Matrix für Fibroblasten zurAnwendung als dermales Äquivalent für den Aufbau einesin-vitro Testsystems für Wundauflagen wurden zunächstGelatine- und Agarfolien mit einer Streichanlage imLabormaßstab hergestellt. Keimdichtigkeit,Wasserdampfdurchlässigkeit, Elastizität, Wundverklebung,Dicke, Gewicht und Wassergehalt der Folien und zusätzlichdie Adsorption von Fibronectin an die Folienoberflächewurden bestimmt.Auf Basis einer 10 %-igen Gelatinelösung und durch Anwendungeines wasserlöslichen Carbodiimids (EDAC) konnten vernetzteGelatineschäume hergestellt werden. Untersuchungen derphysikalischen, chemischen und biologischen Eigenschaftender Gelatine-schäume dienten der Charakterisierung derMuster. Die Gelatineschäume wurden mit humanen Fibroblastenbeimpft und die zeitliche Entwicklung der Fibroblasten durchAnwendung der MTT Methode ermittelt. Zusätzlich wurde mit Hilfe des Antikörpers gegen Ki-67 die Proliferation derFibroblasten an Gefrierschnitten der Gelatineschäume untersucht.Die mit EDAC vernetzten und mit humanen Fibroblastenbeimpften Gelatineschäume dienten als dermales Äquivalentfür den Aufbau eines in-vitro Testsystems. Zur Untersuchungder Wechselwirkung zwischen verschiedenen Materialien undden Fibroblasten auf den Gelatineschäumen wurdenorientierende Versuche mit dem in-vitro Testsystem durchgeführt.

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MMP-2 and MMP-14 process extracellular matrix proteins,cytokines, growth factors and adhesion molecules to generatefragments with enhanced or reduced biological activity.In this study, a vectorsystem was developed for theconditional expression of MMP-2 and MMP-14 in the liver oftransgenic mice. For this vectorsystem the murine albuminpromotor was chosen together with the cre/lox system toachieve an inducible MMP-expression in the liver.Only one of the MMP-14 transgenic lines expressed highamounts of active MMP-14 protein after recombination of thelox-P sites. In these mice MMP-14 was able to activate MMP-2and MMP-13 in vivo. However, none of the livers of MMP-14overexpressing mice showed no differences in liverweight,amount of extracellular matrixproteins and rate ofproliferation, apoptosis and tumor-induction when comparedto the liver of wildtype mice.On the other hand overexpression of MMP-2 was embryoniclethal in all MMP-2 transgenic lines. After crossing theMMP-2 transgenic mice with cre deleter mice, a cre mediatedrecombination could be shown at day 6.5 post coitum (pc).Some of the double transgenic embryos of one of thetransgenic lines had severe deformations of the head,especially of the telencephalon and the mesencephalon.It could be shown in this study that disregulation of MMP-2in early embryonic development is lethal but anoverexpression of MMP-14 has no influence on the embryonicdevelopment or the homeostasis of the adult liver.With this conditional vectorsystem it is to possible studythe influnce of MMP-2 and MMP-14 on fibrogenesis,regeneration and tumorgenesis in the liver of mice.

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The present state of the theoretical predictions for the hadronic heavy hadron production is not quite satisfactory. The full next-to-leading order (NLO) ${cal O} (alpha_s^3)$ corrections to the hadroproduction of heavy quarks have raised the leading order (LO) ${cal O} (alpha_s^2)$ estimates but the NLO predictions are still slightly below the experimental numbers. Moreover, the theoretical NLO predictions suffer from the usual large uncertainty resulting from the freedom in the choice of renormalization and factorization scales of perturbative QCD.In this light there are hopes that a next-to-next-to-leading order (NNLO) ${cal O} (alpha_s^4)$ calculation will bring theoretical predictions even closer to the experimental data. Also, the dependence on the factorization and renormalization scales of the physical process is expected to be greatly reduced at NNLO. This would reduce the theoretical uncertainty and therefore make the comparison between theory and experiment much more significant. In this thesis I have concentrated on that part of NNLO corrections for hadronic heavy quark production where one-loop integrals contribute in the form of a loop-by-loop product. In the first part of the thesis I use dimensional regularization to calculate the ${cal O}(ep^2)$ expansion of scalar one-loop one-, two-, three- and four-point integrals. The Laurent series of the scalar integrals is needed as an input for the calculation of the one-loop matrix elements for the loop-by-loop contributions. Since each factor of the loop-by-loop product has negative powers of the dimensional regularization parameter $ep$ up to ${cal O}(ep^{-2})$, the Laurent series of the scalar integrals has to be calculated up to ${cal O}(ep^2)$. The negative powers of $ep$ are a consequence of ultraviolet and infrared/collinear (or mass ) divergences. Among the scalar integrals the four-point integrals are the most complicated. The ${cal O}(ep^2)$ expansion of the three- and four-point integrals contains in general classical polylogarithms up to ${rm Li}_4$ and $L$-functions related to multiple polylogarithms of maximal weight and depth four. All results for the scalar integrals are also available in electronic form. In the second part of the thesis I discuss the properties of the classical polylogarithms. I present the algorithms which allow one to reduce the number of the polylogarithms in an expression. I derive identities for the $L$-functions which have been intensively used in order to reduce the length of the final results for the scalar integrals. I also discuss the properties of multiple polylogarithms. I derive identities to express the $L$-functions in terms of multiple polylogarithms. In the third part I investigate the numerical efficiency of the results for the scalar integrals. The dependence of the evaluation time on the relative error is discussed. In the forth part of the thesis I present the larger part of the ${cal O}(ep^2)$ results on one-loop matrix elements in heavy flavor hadroproduction containing the full spin information. The ${cal O}(ep^2)$ terms arise as a combination of the ${cal O}(ep^2)$ results for the scalar integrals, the spin algebra and the Passarino-Veltman decomposition. The one-loop matrix elements will be needed as input in the determination of the loop-by-loop part of NNLO for the hadronic heavy flavor production.

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RAGE mediates diverse physiological and pathological effects by binding a variety of ligands. Despite incomplete understanding of RAGE-mediated disorders soluble RAGE (sRAGE) has been identified as a potential biomarker for RAGE-related diseases and possibly represents a hopeful pharmaceutical against RAGE-mediated disorders. Nevertheless, the source of sRAGE remains poorly investigated. Currently sRAGE is thought to be derived exclusively from alternative splicing of mRNA. In this thesis it was investigated whether sRAGE can also be released as a result of ectodomain shedding of full-length RAGE. Using cells overexpressing RAGE as a model system, it was demonstrated clearly that RAGE undergoes ectodomain shedding in both constitutive and regulated manner. Several stimuli including PMA, AMPA, calcium and chelerythrine stimulated the release of sRAGE into cell culture medium. Moreover, possible mechanisms that regulate ectodomain shedding of RAGE were investigated and it was found that shedding of RAGE is likely independent from PKC and MAPK pathways. By using gain of function and loss of function approaches MMP9 but not ADAM10, ADAM17 or MT1-MMP was characterized as the metalloproteinase that mediates shedding of RAGE. Furthermore, it was shown that cytoplasmic domain of RAGE is not essential for shedding of RAGE. In addition, the potential cleavage site of RAGE by MMP9 was investigated and a lack of sequence specificity for the RAGE processing proteinase was demonstrated by mutation analysis. Finally the physiopathological significance of shedding of RAGE is discussed. In conclusion, for the first time ectodomain shedding of human RAGE and the underlying regulatory mechanisms were investigated. The data open a new field for modulation of RAGE shedding as a novel intervention approach against RAGE-mediated diseases.

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Matrix metalloproteinases are the components of the tumour microenvironment which play a crucial role in tumour progression. Matrix metalloproteinase-7 (MMP-7) is expressed in a variety of tumours and the expression is associated with an aggressive malignant phenotype and poor prognosis. A role for MMP-7 in the immune escape of tumours has been postulated, but the mechanisms are not clearly understood. The present study was focused on identifying physiological inactivators of MMP-7 and also to unravel the mechanisms involved in MMP-7 mediated immune escape. This study shows that human leukocyte elastase (HLE), secreted by polymorphonuclear leukocytes cleaves MMP-7 in the catalytic domain as revealed by N-terminal sequencing. Further analysis demonstrates that the activity of MMP-7 was drastically decreased after HLE treatment in a time and dose dependent manner. MMP-7 induces apoptosis resistance in tumour cells by cleaving CD95 and CD95L. The effect of HLE on MMP-7 mediated apoptosis resistance was analysed. In vitro stimulation of apoptosis by anti-Apo-1 (anti-CD95 antibody) and the chemotherapeutic drug doxorubicin is reduced by MMP-7. Also tumour specific cytotoxic T cells do not effectively kill tumour cells in the presence of MMP-7. This study revealed that HLE abrogates the negative effect of MMP-7 on apoptosis induced by CD95 stimulation, doxorubicin or cytotoxic T cells and restores apoptosis sensitivity of tumour cells. To gain insight into the possible immune modulatory functions of MMP-7, experiments were performed to identify new immune relevant substrates. The human T cell line, Jurkat, was selected for these studies. Hsc70 which is involved in uncoating of clathrin vesicles was found in the supernatants of the MMP-7 treated cells indicating a modulatory role of MMP-7 on endocytosis. Further studies demonstrated that MMP-7 leads to decreased clathrin staining in HEK293, HepG2, Jurkat, CD4+ T cells and dendritic cells. Results also show MMP-7 treatment increased surface expression of cytotoxic T lymphocyte associated protein-4 (CTLA-4) which accumulated due to inhibition of the clathrin mediated internalization in CD4+CD25+ cells.

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Das Hauptziel dieser Arbeit war die Identifizierung der Regulationsebenen auf denen die TPA-induzierte Matrix-Metalloproteinase-9 (MMP-9) durch das nitrose Gas Stickstoffmonoxid (NO) in MCF-7-Zellen verändert wird. Dabei konnte sowohl mit Hilfe der Zymographie als auch mit einem MMP-9-Aktivitäts-ELISA gezeigt werden, dass die extrazellulären MMP-9-Spiegel durch die Behandlung der Zellen mit NO reduziert werden. Gleichzeitig zeigte sich auch eine durch NO bedingte Abnahme der intrazellulären MMP-9-Spiegel, wie mit Hilfe von Western-Blot-Analyse nachgewiesen werden konnte. Experimente mit dem Proteasominhibitor Lactacystin und dem Proteinsynthesehemmstoff Cycloheximid ließen darüber hinaus eine NO-bedingte Veränderung der MMP-9-Proteinstabilität ausschließen. Im Gegensatz dazu konnte mittels der metabolischen Markierung mit radioaktiv markiertem Methionin und Cystein gezeigt werden, dass die Proteinneusynthese der MMP-9 durch eine Behandlung der Zellen mit NO stark beeinträchtigt wird. In Übereinstimmung mit diesen Daten finden sich reduzierte MMP-9-mRNA-Spiegel auch in der polysomalen Zellfraktion von MCF-7-Zellen. Wie mit Hilfe des Transkriptionshemmstoffes Actinomycin D und durch Reportergenstudien mit hybriden MMP-9-Promotorkonstrukten gezeigt werden konnte, ist die NO-induzierte Reduktion der MMP-9-mRNA-Spiegel nicht auf eine Verringerung der MMP-9-mRNA-Stabilität zurückzuführen. Reportergenstudien mit einem 670bp langen Promotorfragment des 5’flankierenden Bereichs des humanen MMP-9-Gens zeigten jedoch auf, dass der hemmende Effekt des NOs zum Teil auf eine NO-vermittelte Abnahme der TPA-induzierten MMP-9-Promotoraktivität zurückgeführt werden kann. Demzufolge wurde in den nachfolgenden Experimenten nach den für die MMP-9-Expression notwendigen und von NO modulierten Transkriptionsfaktoren in MCF-7-Zellen gesucht. Anhand von Western-Blot-Analysen und Gelshiftanalysen konnte gezeigt werden, dass die Aktivität des Transkriptionsfaktors AP-1 in MCF-7-Zellen durch NO gehemmt wird, während weder die Expressionspiegel noch die Bindungsaffinität der Transkriptionsfaktoren NFκB und Sp1 durch die NO-Behandlung verändert sind. Weiterhin konnte unter Verwendung von pharmakologischen Inhibitoren der MAPK-Signalwege mit Hilfe der Western-Blot-Analyse nachgewiesen werden, dass MAPK-vermittelte Signalwege zwar für die Induktion der MMP-9-Expression essenziell sind, diese jedoch nicht von NO beeinflusst sind. Im Unterschied hierzu konnte mit Hilfe eines PKC-Aktivitätsassays gezeigt werden, dass die Gesamtaktivität von PKCs nach Behandlung von MCF-7-Zellen mit NO signifikant gehemmt ist. Zusammenfassend zeigen diese Untersuchungen, dass die NO-vermittelte Hemmung der TPA-induzierten MMP-9-Expression in MCF-7-Zellen im Wesentlichen auf eine NO-abhängige Reduktion der Protein-Kinase-C-Aktivität und einer daraus resultierenden Aktivitätshemmung des Transkriptionsfaktors AP-1 zurückgeführt werden kann.

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In this work, we consider a simple model problem for the electromagnetic exploration of small perfectly conducting objects buried within the lower halfspace of an unbounded two–layered background medium. In possible applications, such as, e.g., humanitarian demining, the two layers would correspond to air and soil. Moving a set of electric devices parallel to the surface of ground to generate a time–harmonic field, the induced field is measured within the same devices. The goal is to retrieve information about buried scatterers from these data. In mathematical terms, we are concerned with the analysis and numerical solution of the inverse scattering problem to reconstruct the number and the positions of a collection of finitely many small perfectly conducting scatterers buried within the lower halfspace of an unbounded two–layered background medium from near field measurements of time–harmonic electromagnetic waves. For this purpose, we first study the corresponding direct scattering problem in detail and derive an asymptotic expansion of the scattered field as the size of the scatterers tends to zero. Then, we use this expansion to justify a noniterative MUSIC–type reconstruction method for the solution of the inverse scattering problem. We propose a numerical implementation of this reconstruction method and provide a series of numerical experiments.

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The Factorization Method localizes inclusions inside a body from measurements on its surface. Without a priori knowing the physical parameters inside the inclusions, the points belonging to them can be characterized using the range of an auxiliary operator. The method relies on a range characterization that relates the range of the auxiliary operator to the measurements and is only known for very particular applications. In this work we develop a general framework for the method by considering symmetric and coercive operators between abstract Hilbert spaces. We show that the important range characterization holds if the difference between the inclusions and the background medium satisfies a coerciveness condition which can immediately be translated into a condition on the coefficients of a given real elliptic problem. We demonstrate how several known applications of the Factorization Method are covered by our general results and deduce the range characterization for a new example in linear elasticity.

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In various imaging problems the task is to use the Cauchy data of the solutions to an elliptic boundary value problem to reconstruct the coefficients of the corresponding partial differential equation. Often the examined object has known background properties but is contaminated by inhomogeneities that cause perturbations of the coefficient functions. The factorization method of Kirsch provides a tool for locating such inclusions. In this paper, the factorization technique is studied in the framework of coercive elliptic partial differential equations of the divergence type: Earlier it has been demonstrated that the factorization algorithm can reconstruct the support of a strictly positive (or negative) definite perturbation of the leading order coefficient, or if that remains unperturbed, the support of a strictly positive (or negative) perturbation of the zeroth order coefficient. In this work we show that these two types of inhomogeneities can, in fact, be located simultaneously. Unlike in the earlier articles on the factorization method, our inclusions may have disconnected complements and we also weaken some other a priori assumptions of the method. Our theoretical findings are complemented by two-dimensional numerical experiments that are presented in the framework of the diffusion approximation of optical tomography.

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In electrical impedance tomography, one tries to recover the conductivity inside a physical body from boundary measurements of current and voltage. In many practically important situations, the investigated object has known background conductivity but it is contaminated by inhomogeneities. The factorization method of Andreas Kirsch provides a tool for locating such inclusions. Earlier, it has been shown that under suitable regularity conditions positive (or negative) inhomogeneities can be characterized by the factorization technique if the conductivity or one of its higher normal derivatives jumps on the boundaries of the inclusions. In this work, we use a monotonicity argument to generalize these results: We show that the factorization method provides a characterization of an open inclusion (modulo its boundary) if each point inside the inhomogeneity has an open neighbourhood where the perturbation of the conductivity is strictly positive (or negative) definite. In particular, we do not assume any regularity of the inclusion boundary or set any conditions on the behaviour of the perturbed conductivity at the inclusion boundary. Our theoretical findings are verified by two-dimensional numerical experiments.

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In this thesis, a systematic analysis of the bar B to X_sgamma photon spectrum in the endpoint region is presented. The endpoint region refers to a kinematic configuration of the final state, in which the photon has a large energy m_b-2E_gamma = O(Lambda_QCD), while the jet has a large energy but small invariant mass. Using methods of soft-collinear effective theory and heavy-quark effective theory, it is shown that the spectrum can be factorized into hard, jet, and soft functions, each encoding the dynamics at a certain scale. The relevant scales in the endpoint region are the heavy-quark mass m_b, the hadronic energy scale Lambda_QCD and an intermediate scale sqrt{Lambda_QCD m_b} associated with the invariant mass of the jet. It is found that the factorization formula contains two different types of contributions, distinguishable by the space-time structure of the underlying diagrams. On the one hand, there are the direct photon contributions which correspond to diagrams with the photon emitted directly from the weak vertex. The resolved photon contributions on the other hand arise at O(1/m_b) whenever the photon couples to light partons. In this work, these contributions will be explicitly defined in terms of convolutions of jet functions with subleading shape functions. While the direct photon contributions can be expressed in terms of a local operator product expansion, when the photon spectrum is integrated over a range larger than the endpoint region, the resolved photon contributions always remain non-local. Thus, they are responsible for a non-perturbative uncertainty on the partonic predictions. In this thesis, the effect of these uncertainties is estimated in two different phenomenological contexts. First, the hadronic uncertainties in the bar B to X_sgamma branching fraction, defined with a cut E_gamma > 1.6 GeV are discussed. It is found, that the resolved photon contributions give rise to an irreducible theory uncertainty of approximately 5 %. As a second application of the formalism, the influence of the long-distance effects on the direct CP asymmetry will be considered. It will be shown that these effects are dominant in the Standard Model and that a range of -0.6 < A_CP^SM < 2.8 % is possible for the asymmetry, if resolved photon contributions are taken into account.

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Chondrocytes live isolated in the voluminous extracellular matrix of cartilage, which they secrete and is neither vascularized nor innervated. Nutrient and waste exchanges occur through diffusion leading to low oxygen tension around the cells. Consequently even normal cartilage under normal physiological conditions suffers from a poor reparative potential that predisposes to degenerative conditions, such as osteoarthritis of the joints, with significant clinical effects.rnOne of the key challenges in medicine is the structural and functional replacement of lost or damaged tissues. Current therapeutical approaches are to transplant cells, implant bioartificial tissues, and chemically induce regeneration at the site of the injury. None of them reproduces well the biological and biomechanical properties of hyaline cartilage.rnThis thesis investigates the re-differentiation of chondrocytes and the repair of cartilage mediated by signaling molecules, biomaterials, and factors provided in mixed cellular cultures (co-culture systems). As signaling molecules we have applied prostaglandin E2 (PGE2) and bone morphogenetic protein 1 (BMP-1) and we have transfected chondrocytes with BMP-1 expressing vectors. Our biomaterials have been hydrogels of type-I collagen and gelatin-based scaffolds designed to mimic the architecture and biochemistry of native cartilage and provide a suitable three-dimensional environment for the cells. We have brought chondrocytes to interact with osteosarcoma Cal 72 cells or with murine preosteoblastic KS483 cells, either in a cell-to-cell or in a paracrine manner.rnExogenous stimulation with PGE2 or BMP-1 did not improve the differentiation or the proliferation of human articular chondrocytes. BMP-1 induced chondrocytic de-differentiation in a dose-dependent manner. Prostaglandin stimulation from gelatin-based scaffolds (three-dimensional culture) showed a certain degree of chondrocyte re-differentiaton. Murine preosteoblastic KS483 cells had no beneficial effect on human articular chondrocytes jointly cultivated with them in hydrogels of type I collagen. Although the hydrogels provided the chondrocytes with a proper matrix in which the cells adopted their native morphology; additionally, the expression of chondrocytic proteoglycan increased in the co-cultures after two weeks. The co-culture of chondrocytes with osteoblast-like cells (in transwell systems) resulted in suppression of the regular de-differentiation program that passaged chondrocytes undergo when cultured in monolayers. Under these conditions, the extracellular matrix of the chondrocytes, rich in type-II collagen and aggrecan, was not transformed into the extracellular matrix characteristic of de-differentiated human articular chondrocytes, which is rich in type-I collagen and versican.rnThis thesis suggests novel strategies of tissue engineering for clinical attempts to improve cartilage repair. Since implants are prepared in vitro (ex-vivo) by expanding human articular chondrocytes (autologous or allogeneic), we conclude that it will be convenient to provide a proper three-dimensional support to the chondrocytes in culture, to supplement the culture medium with PGE2, and to stimulate chondrocytes with osteoblastic factors by cultivating them with osteoblasts.rn