505 research outputs found

    Über Kunst in Italien im zwölften Jahrhundert

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    Digitalisat von: 01-03921 - Neumann, Carl: Über Kunst in Italien im zwölften Jahrhunder

    Die Markuskirche in Venedig

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    Self-Repelling Elastic Manifolds with Low Dimensional Range

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    We consider self-repelling elastic manifolds with a domain [N,N]dZd[-N,N]^d \cap \mathbb{Z}^d, that take values in RD\mathbb{R}^D. Our main result states that when the dimension of the domain is d=2d=2 and the dimension of the range is D=1D=1, the effective radius RNR_N of the manifold is approximately N4/3N^{4/3}. This verifies the conjecture of Kantor, Kardar and Nelson [7]. Our results for the case where d3d \geq 3 and D<dD <d give a lower bound on RNR_N of order N1D(d2(dD)D+2)N^{\frac{1}{D} \left(d-\frac{2(d-D)}{D+2} \right)} and an upper bound proportional to Nd2+dDD+2N^{\frac{d}{2}+\frac{d-D}{D+2}}. These results imply that self-repelling elastic manifolds with a low dimensional range undergo a significantly stronger stretching than in the case where d=Dd=D, which was studied by the authors in [10].Comment: 19 pages. arXiv admin note: substantial text overlap with arXiv:2112.1300

    Bound states of PT-symmetric separable potentials

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    All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form V(x,y)=iϵ[U(x)U(y)U(x)U(y)]V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)], where U(x)U(x) is real, are examined. Two specific models are examined. In each case it is shown that there is a parametric region of the coupling strength ϵ\epsilon for which the PT symmetry of the Hamiltonian is unbroken and the bound-state energies are real. The critical values of ϵ\epsilon that bound this region are calculated.Comment: 10 pages, 3 figure

    Distinct roles of Shh and Fgf signaling in regulating cell proliferation during zebrafish pectoral fin development

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    <p>Abstract</p> <p>Background</p> <p>Cell proliferation in multicellular organisms must be coordinated with pattern formation. The major signaling pathways directing pattern formation in the vertebrate limb are well characterized, and we have therefore chosen this organ to examine the interaction between proliferation and patterning. Two important signals for limb development are members of the Hedgehog (Hh) and Fibroblast Growth Factor (Fgf) families of secreted signaling proteins. Sonic hedgehog (Shh) directs pattern formation along the anterior/posterior axis of the limb, whereas several Fgfs in combination direct pattern formation along the proximal/distal axis of the limb.</p> <p>Results</p> <p>We used the genetic and pharmacological amenability of the zebrafish model system to dissect the relative importance of Shh and Fgf signaling in regulating proliferation during development of the pectoral fin buds. In zebrafish mutants disrupting the <it>shh </it>gene, proliferation in the pectoral fin buds is initially normal, but later is strongly reduced. Correlating with this reduction, Fgf signaling is normal at early stages, but is later lost in <it>shh </it>mutants. Furthermore, pharmacological inhibition of Hh signaling for short periods has little effect on either Fgf signaling, or on expression of G1- and S-phase cell-cycle genes, whereas long periods of inhibition lead to the downregulation of both. In contrast, even short periods of pharmacological inhibition of Fgf signaling lead to strong disruption of proliferation in the fin buds, without affecting Shh signaling. To directly test the ability of Fgf signaling to regulate proliferation in the absence of Shh signaling, we implanted beads soaked with Fgf protein into <it>shh </it>mutant fin buds. We find that Fgf-soaked beads rescue proliferation in the pectoral find buds of <it>shh </it>mutants, indicating that Fgf signaling is sufficient to direct proliferation in zebrafish fin buds in the absence of Shh.</p> <p>Conclusion</p> <p>Previous studies have shown that both Shh and Fgf signaling are crucial for outgrowth of the vertebrate limb. The results presented here show that the role of Shh in this process is indirect, and is mediated by its effect on Fgf signaling. By contrast, the activity of the Fgf pathway affects proliferation directly and independently of its effect on Shh. These results show that Fgf signaling is of primary importance in directing outgrowth of the limb bud, and clarify the role of the Shh-Fgf feedback loop in regulating proliferation.</p

    Kinetic calibration of the calcium indicator arsenazo III. I. Stopped-flow spectroscopy

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    Clemen S, Rabl C-R, Neumann E. Kinetic calibration of the calcium indicator arsenazo III. I. Stopped-flow spectroscopy. Biochimica et Biophysica Acta (BBA) - Biomembranes. 1988;938(3):456-460
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