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The inverse scattering problem on branching graphs is studied. The definition of the Schrodinger operator on such graphs is discussed. The operator is defined with real potentials with finite first momentum and using special boundary conditions connecting values of the functions at the vertices. It is shown that in general the scattering matrix does not determine the topology of the graph, the pot
Rapport från de medicinhistoriska sessionerna
Results from quantum chemical INDO/S-CI calculations of the absorption properties of anatase TiO2 nanoparticles sensitized by catechol and benzoic acid are reported. Experimental observations that catechol causes a strong shift in the TiO2 absorption threshold, while benzoic acid does not, are explained from the calculations which indicate that only catechol introduces electronic levels in the TiO
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Chloroplasts isolated from a plant species, Dimorphotheca pluvialis Moench (Asteraceae), grown under visible light without supplementary UV-B radiation, have poor grana development. The dominant components in the membrane organizations are doublets and triplets of stroma lamellae. However, such chloroplasts possess the capacity for electron transfer through the whole photosynthetic chain, based on
PURPOSE: We review the current epidemiological and genetic knowledge regarding hereditary prostate cancer, and outline its clinical implications. MATERIALS AND METHODS: Published articles on hereditary prostate cancer were identified using the MEDLINE data base. RESULTS: A risk of prostate cancer, particularly early onset disease, is strongly affected by family history (number of relatives with pr
The influence of poisoning of ruthenium catalysing the selective hydrogenation of benzene to cyclohexene has been studied. Both the yield of cyclohexene and the rate of hydrogenation are greatly affected by the degree of poisoning (e.g. FeSO4, FeCl3, TiCl3 and oxygen), and may also be optimised. A reproducible catalyst has been prepared by precipitating the catalyst precursor, as the hydroxide, in
We establish the existence of solitary wave solutions with exponential decay at infinity for a nonlinear dispersive partial differential equation. As a by-product, the existence of smooth solitary waves for the Camassa-Holm equation, modeling water waves and waves in elastic rods, is obtained.
The aim of this study is to demonstrate how the cultural functions of a sacred motif have changed over the years by means of intermedial transformation. The object of study is an ekphrastic poem, "Theotokos", by the Swedish poet Ingemar Leckius. A couple of medieval Orthodox icon paintings - The Vladimir Madonna and The Virgin of the Sign - have served as sources of inspiration for the poet. A myt
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
According to the principle of least action, the spatially periodic motions of one-dimensional mechanical systems with no external forces are described in the Lagrangian formalism by geodesics on a manifold-configuration space, the group D of smooth orientation-preserving diffeomorphisms of the circle. The periodic inviscid Burgers equation is the geodesic equation on D with the L-2 right-invariant
In a previous contribution (Stockmann H J 2002 J. Phys. A: Math. Gen. 35 5165), the density of states was calculated for a billiard with randomly distributed delta-like scatterers, doubly averaged over the positions of the impurities and the billiard shape. This result is now extended to the k-point correlation function. Using supersymmetric methods, we show that the correlations in the bulk are a
Studies of apparently homogeneous cell populations and single cells often give highly divergent results. Cells exhibit varying responsiveness to stimuli and gene expression and they are in many aspects stochastic and unpredictable. We have developed a method to measure gene expression quantitatively in individual cells with real-time RT-PCR. mRNA for hormones, ion channels and enzymes in pancreat
