On chain morphisms of commutative rings

Résumé  On dit qu’un homomorphismef :A →B d’anneaux commutatifs est un morphisme de cha?ne (resp., den-cha?ne pour un entiern ≥ 1) si toute cha?ne d’idéaux premiers (resp., d’au plusn idéaux premiers) deA se relève en une cha?ne d’idéaux premiers deB. Sif est un morphisme den-cha?ne, alorsf n’est pas forcément un morphisme de (n + 1)-cha?ne, même siA etB sont des anneaux intègres, doncf n’est pas un morphisme de cha?ne. Sif est un morphisme den-cha?ne pour toutn, alorsf est un morphisme de cha?ne. Un morphisme de cha?ne n’est pas forcément un morphisme de cha?ne universel. Pour tout entiern ≥ 2,f est universellement un morphisme den-cha?ne si et seulement sif est universellement un morphisme de cha?ne. Un morphisme qui est universellement de cha?ne et universellement incomparable n’est pas nécessairement entier, même siA etB sont des anneaux intègres de dimension 1 (au sens de Krull).      

Magnetization in the two-dimensional Hubbard model: a numerical study

The Projector Quantum Monte Carlo method is used to study the two-dimensional Hubbard model with generalized boundary conditions at half-filling. The convergence of the algorithm depends strongly on the initial trial state. Spin-density waves provide an excellent trial state for the case of weak and of strong correlations. This choice of a trial state with broken symmetry allows us to calculate directly the staggered (or sublattice) magnetization m ₀ as a function of the on-site repulsion U. The use of general boundary conditions strongly reduces finite size effects in m ₀.     

DEPTH MEASUREMENTS AND HISTOPATHOLOGICAL CHARACTERIZATION OF PHOTODYNAMIC THERAPY GENERATED NORMAL BRAIN NECROSIS AS A FUNCTION OF INCIDENT OPTICAL ENERGY DOSE

The response of normal brain to photodynamic therapy (PDT) was investigated in 62 Fisher rats. The animals were injected i.p. with Photofrin II (12.5 mg/kg). Forty-eight hours following injection, an area of dura 5 mm in diameter over the frontal cortex was photoactivated with red light (632 +/- 2 nm) at 100 mW cm-2, with no contributing thermal increases, at optical energy doses ranging from 1-140 J cm-2 from an argon-pumped dye laser. Appropriate controls were also prepared. Brain tissue samples for histological analysis were taken 24 h following PDT treatment. Maximum lesion depth perpendicular to the pial brain surface, was measured using an eyepiece micrometer. Lesions of increasing depth were generated as the incident optical energy dose was increased. Fitting the depth of necrosis to a natural log dependence of incident optical dose yielded a slope of 0.83 mm/ln J cm-2 (r2 = 0.99). The intercept of 1.47 J cm-2 indicated the energy dose below which no normal tissue damage would occur at the incident laser intensity of 100 mW cm-2. The smallest lesions consisted almost exclusively of isolated neuronal injury and neuropil vacuolation, suggestive of an early ischemic lesion. Damage at the upper energy levels (35-140 J cm-2) consisted of complete coagulative necrosis identical to that induced by an arterial occlusion. The existence of viable tissue alongside neurons in various stages of necrosis at low energy levels (less than 35 J cm-2) is suggestive of reversible injury and possibly clinically relevant treatment levels.     

Tumor Oxygenation Changes Post-Photodynamic Therapy

Abstract— Tumor oxygenation after a photodynamic therapy (PDT) treatment is a critical factor for understanding the post-treatment metabolic pathway of the tumor. It also provides important information for designing combination therapy of PDT and other oxygen-dependent anticancer modalities. In this study, mammary carcinoma in flank and hind leg of C3H mice were subjected to PDT at either subcurative or curative level (12.5 mg/kg Photofrin; 200 or 600 J/cm², respectively). The before and post-PDT tumor oxygenation was measured with an oxygen-sensitive microelectrode. The data revealed that tumor oxygenation at the time of PDT has a profound effect on posttreatment tumor oxygenation, which may largely be due to an interplay between direct PDT cytotoxicity and PDT damage to the tumor microvasculature. Transient reoxygenation occurred after PDT, which may provide a window for improved combination therapy for other oxygen-dependent modalities.     

On the Ascent of Properties Related to Unique Factorization Domains

In this article, we develop equivalent conditions for a certain class of monoidal transform to inherit either the property of being a completely integrally closed domain that satisfies the ascending chain condition on principal ideals, the property of being a Mori domain, the property of being a Krull domain, or the property of being a unique factorization domain, respectively. Such a class of monoidal transform is given in terms of an (analytically) independent set that forms a prime ideal in the base domain. Characterizations are provided illustrating the necessity of the “prime ideal” hypothesis when the base domain is a Noetherian unique factorization domain.     

EFFECTS OF LIGHT BEAM SIZE ON FLUENCE DISTRIBUTION AND DEPTH OF NECROSIS IN SUPERFICIALLY APPLIED PHOTODYNAMIC THERAPY OF NORMAL RAT BRAIN

The light fluence distributions of 632.8 nm light incident on the exposed surface of normal rat brain in vivo have been measured using an interstitial, stereotactically-mounted optical fiber detector with isotropic response. The dependence of the relative fluence rate on depth and the spatial distribution of fluence were compared for incident beam diameters of 3 and 5 mm. The fluence rate at depth of 1-6 mm along the optical axis within the brain tissue was approximately 70% greater for a 5 mm diameter beam than for a 3 mm beam, at the same incident fluence rate, although the plots of the relative fluence rate vs depth were parallel over the depth range 1-6 mm. The depths of necrosis resulting from photodynamic treatment of brain tissue using the photosensitizer Photofrin and irradiation by 632 nm light with 3 and 5 mm incident beams were also measured. The observed difference in necrosis depths was consistent with the measured difference in fluence. The importance of beam size in photodynamic treatment with small diameter incident light fields is discussed.     

Non-spherical shapes of capsules within a fourth-order curvature model

We minimize a discrete version of the fourth-order curvature-based Landau free energy by extending Brakke's Surface Evolver. This model predicts spherical as well as non-spherical shapes with dimples, bumps and ridges to be the energy minimizers. Our results suggest that the buckling and faceting transitions, usually associated with crystalline matter, can also be an intrinsic property of non-crystalline membranes.     

Refurbishment of a used in‐vacuum undulator from the National Synchrotron Light Source for the National Synchrotron Light Source‐II ring

The National Synchrotron Light Source (NSLS) ceased operation in September 2014 and was succeeded by NSLS‐II. There were four in‐vacuum undulators (IVUs) in operation at NSLS. The most recently constructed IVU for NSLS was the mini‐gap undulator (MGU‐X25, to be renamed IVU18 for NSLS‐II), which was constructed in 2006. This device was selected to be reused for the New York Structural Biology Consortium Microdiffraction beamline at NSLS‐II. At the time of construction, IVU18 was a state‐of‐the‐art undulator designed to be operated as a cryogenic permanent‐magnet undulator. Due to the more stringent field quality and impedance requirements of the NSLS‐II ring, the transition region was redesigned. The control system was also updated to NSLS‐II specifications. This paper reports the details of the IVU18 refurbishment activities including additional magnetic measurement and tuning.