6,619 research outputs found

    The numerical solution of fractional differential equations: Speed versus accuracy

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    This paper discusses the development of efficient algorithms for a certain fractional differential equation.Manchester Centre for Computational Mathematic

    Musical Presence: Towards a New Philosophy of Music

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    Most recent writings about the philosophy of music have taken an analytic or linguistic approach, focusing on terms such as meaning, metaphor, emotions and expression, invariably from the perspective of the individual listener or composer. This essay seeks to develop an alternative, phenomenological framework for thinking about music by avoiding these terms, and by extrapolating from the writings of Hegel, Husserl, and Heidegger. On the basis of discussions of musical time, its multiple levels of matter, and its internal dialectics, the essay presents a particular understanding of ā€œstyleā€ as the primary basis for mediation between production and reception. It concludes that music is no more or less than itself; and that it comes into presence and resounds within a nonconceptual and collective socio-historical world, thereby dissolving all distinctions between feelings and ideas, and fears and desires

    Characterization of CD45+ Primary Fibroblasts in Interstitial Lung Disease

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    The role of cells of the hematopoietic lineage in fibrosis associated with interstitial lung disease (ILD) is controversial; whether monocytes solely differentiate into macrophages that activate resident fibroblasts, or if they can also differentiate into fibrocytes (CD45+/Col I+ cells) that then differentiate into fibroblasts has been debated. By using systemic bleomycin to induce fibrosis in a bone marrow transplant and transgenic mouse models, as well as using human lung tissue from a patient with scleroderma-associated ILD, we studied the contribution of the hematopoietic lineage to the fibroblast population using flow cytometry and single cell RNA sequencing. Further, our studies revealed reasons why fibrocytes are lost when fibroblast cultures are passaged. Finally, we evaluated how treatment of mice with a novel, water-soluble version of caveolin scaffolding domain (CSD) called WCSD affects fibrocyte accumulation and fibrosis in our animal model. We found that during fibrosis, fibrocytes increase in number and in their expression of Col I both in the lung tissue and in the bronchiolar lavage fluid (BAL). The appearance of Col I in CD45+ precursors occurs after their recruitment into the lung. Interestingly, fibrocytes express higher levels of monocyte/macrophage markers (CD45, CD16, CD68, CD206) than do CD45+/Col I- cells. In vitro experiments demonstrated that CD45+/Col I+ cells are at first predominant in fibroblast cultures, but then are lost progressively during passage. Furthermore, these fibrocytes do not appear to grow in vitro in the absence of CD45-/Col I+ fibroblasts. Treating mice with WCSD inhibited fibrocyte accumulation as well as overall collagen I, Tenascin C, Ī±-sma, and HSP47 levels and vascular leakage. The decreased fibrocyte accumulation may result both from decreased precursor recruitment due at least in part to decreased vascular permeability and from decreased differentiation of fibrocytes from CD45+/Col I- precursor monocytes. In summary, CD45+ cells accumulate in lung tissue during fibrosis and contribute to pathological remodeling by differentiating into myofibroblasts that overexpress ECM proteins and myofibroblast markers. Their contribution to fibrosis can be inhibited by WCSD which serves as a surrogate for caveolin-1, a protein known to be reduced in expression in multiple cell types from patients with fibrotic lung disease

    Elastic Differential Cross Sections for Space Radiation Applications

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    The eikonal, partial wave (PW) Lippmann-Schwinger, and three-dimensional Lippmann- Schwinger (LS3D) methods are compared for nuclear reactions that are relevant for space radiation applications. Numerical convergence of the eikonal method is readily achieved when exact formulas of the optical potential are used for light nuclei (A ā‰¤\le 16), and the momentum-space representation of the optical potential is used for heavier nuclei. The PW solution method is known to be numerically unstable for systems that require a large number of partial waves, and, as a result, the LS3D method is employed. The effect of relativistic kinematics is studied with the PW and LS3D methods and is compared to eikonal results. It is recommended that the LS3D method be used for high energy nucleon-nucleus reactions and nucleus-nucleus reactions at all energies because of its rapid numerical convergence and stability

    Rating revalutation revisited

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