Deformations for Function Fields

AbstractWe consider a question of describing the one-dimensionalP-adic representations that lift a given representation over a finite field of the absolute Galois group of a function field. In this case, the characterization of abelianp-power extensions of fields of characteristicpcan be extended to abelian pro-p-extensions, and refined to allow only restricted ramification at the places ofK, and can be a tool for analyzing one-dimensionP-adic representations. We then turn to the problem of classifying those representations which can be realized as the action of the Galois group on the division points of a rank one Drinfeld module, discussing both results and a conjecture about the form of the representations that arise in this manner

Multiplatform urinary metabolomics profiling to discriminate cachectic from non-cachectic colorectal cancer patients: Pilot results from the ColoCare Study

Cachexia is a multifactorial syndrome that is characterized by loss of skeletal muscle mass in cancer patients. The biological pathways involved remain poorly characterized. Here, we compare urinary metabolic profiles in newly diagnosed colorectal cancer patients (stage I-IV) from the ColoCare Study in Heidelberg, Germany. Patients were classified as cachectic

The Proportion of Fixed-Point-Free Elements of a Transitive Permutation Group

In 1990 Hendrik W. Lenstra, Jr. asked the following question: if G is a transitive permutation group of degree n and A is the set of elements of G that move every letter, then can one find a lower bound (in terms of n) for f(G) = |A|/|G|? Shortly thereafter, Arjeh Cohen showed that 1/n is such a bound. Lenstra’s problem arose from his work on the number field sieve. A simple example of how f(G) arises in number theory is the following: if h is an irreducible polynomial over the integers, consider the proportion: |{primes ≤ x | h has no zeroes mod p}| / |{primes ≤ x}| As x → ∞, this ratio approaches f(G), where G is the Galois group of h considered as a permutation group on its roots. Our results in this paper include explicit calculations of f(G) for groups G in several families. We also obtain results useful for computing f(G) when G is a wreath product or a direct product of permutation groups. Using this we show that {f(G) | G is transitive} is dense in [0, 1]. The corresponding conclusion is true if we restrict G to primitive groups

Crystal structure of 1-aminocyclopropane-1-carboxylate deaminase from Hansenula saturnus

This research was originally published in Journal of Biological Chemistry. Min Yao, T. Ose, Hiroshi Sugimoto, Atsushi Horiuchi, Atsushi Nakagawa, Soichi Wakatsuki, Daisuke Yokoii, Toyotaka Murakamii, Mamoru Honmai, and Isao Tanaka. Crystal structure of 1-aminocyclopropane-1-carboxylate deaminase from Hansenula saturnus. J. Biol. Chem. 2000; 275, 34557-34565. © the American Society for Biochemistry and Molecular Biology

Versatile Virus-Like Particle Carrier for Epitope Based Vaccines

BACKGROUND: Recombinant proteins and in particular single domains or peptides are often poorly immunogenic unless conjugated to a carrier protein. Virus-like-particles are a very efficient means to confer high immunogenicity to antigens. We report here the development of virus-like-particles (VLPs) derived from the RNA bacteriophage AP205 for epitope-based vaccines. METHODOLOGY/PRINCIPAL FINDINGS: Peptides of angiotensin II, S.typhi outer membrane protein (D2), CXCR4 receptor, HIV1 Nef, gonadotropin releasing hormone (GnRH), Influenza A M2-protein were fused to either N- or C-terminus of AP205 coat protein. The A205-peptide fusions assembled into VLPs, and peptides displayed on the VLP were highly immunogenic in mice. GnRH fused to the C-terminus of AP205 induced a strong antibody response that inhibited GnRH function in vivo. Exposure of the M2-protein peptide at the N-terminus of AP205 resulted in a strong M2-specific antibody response upon immunization, protecting 100% of mice from a lethal influenza infection. CONCLUSIONS/SIGNIFICANCE: AP205 VLPs are therefore a very efficient and new vaccine system, suitable for complex and long epitopes, of up to at least 55 amino acid residues in length. AP205 VLPs confer a high immunogenicity to displayed epitopes, as shown by inhibition of endogenous GnRH and protective immunity against influenza infection

Bulk superconductivity in Pb-substituted BiS2_{\bf 2}-based compounds studied by hard-x-ray spectroscopy

In this study, we investigate the bulk electronic structure of Pb-substituted LaO$_{0.5}$F$_{0.5}$BiS$_2$ single crystals, using two types of hard-x-ray spectroscopy. High-energy-resolution fluorescence-detected x-ray absorption spectroscopy revealed a spectral change at low temperatures. Using density functional theory (DFT) simulations, we find that the temperature-induced change originates from a structural phase transition, similar to the pressure-induced transition in LaO$_{0.5}$F$_{0.5}$BiS$_2$. This finding suggests that the mechanism of bulk superconductivity induced by Pb substitution is the same as that under high pressure. Furthermore, a novel low-valence state with a mixture of divalent and trivalent Bi ions is discovered using hard x-ray photoemission spectroscopy with the aid of DFT calculations.Comment: 8 pages, 6 figures, 1 tabl