442 research outputs found

    Derived pp-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna pp-adic LL-function

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    Let E/QE/\mathbf{Q} be an elliptic curve and let pp be an odd prime of good reduction for EE. Let KK be an imaginary quadratic field satisfying the classical Heegner hypothesis and in which pp splits. In a previous work, Agboola--Castella formulated an analogue of the Birch--Swinnerton-Dyer conjecture for the pp-adic LL-function LpBDPL_{\mathfrak{p}}^{\rm BDP} of Bertolini--Darmon--Prasanna attached to E/KE/K, assuming the prime pp to be ordinary for EE. The goal of this paper is two-fold: (1) We formulate a pp-adic BSD conjecture for LpBDPL_{\mathfrak{p}}^{\rm BDP} for all odd primes pp of good reduction. (2) For an algebraic analogue FpBDPF_{\overline{\mathfrak{p}}}^{\rm BDP} of LpBDPL_{\mathfrak{p}}^{\rm BDP}, we show that the ``leading coefficient'' part of our conjecture holds, and that the ``order of vanishing'' part follows from the expected ``maximal non-degeneracy'' of an anticyclotomic pp-adic height. In particular, when the Iwasawa--Greenberg Main Conjecture (FpBDP)=(LpBDP)(F_{\overline{\mathfrak{p}}}^{\rm BDP})=(L_{\mathfrak{p}}^{\rm BDP}) is known, our results determine the leading coefficient of LpBDPL_{\mathfrak{p}}^{\rm BDP} at T=0T=0 up to a pp-adic unit. Moreover, by adapting the approach of Burungale--Castella--Kim in the pp-ordinary case, we prove the main conjecture for supersingular primes pp under mild hypotheses.Comment: 34 page

    Brief Communication Ophthalmic plastic and orbital surgery in Taiwan

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    Abstract We describe in this paper the current status of ophthalmic plastic and orbital surgery in Taiwan. Data were collected from the Bureau of National Health Insurance of Taiwan, the Bulletin of the Taiwan Ophthalmic Plastic and Reconstructive Society, and the Statistics Yearbook of Practicing Physicians and Health Care Organizations in Taiwan by the Taiwan Medical Association. We ascertained that 94 ophthalmologists were oculoplastic surgeons and accounted for 5.8% of 1621 ophthalmologists in Taiwan. They had their fellowship training abroad (most ophthalmologists trained in the United States of America) or in Taiwan. All ophthalmologists were well trained and capable of performing major oculoplastic surgeries. The payment rates by our National Health Insurance for oculoplastic and orbital surgeries are relatively low, compared to Medicare payments in the United States. Ophthalmologists should promote the concept that oculoplastic surgeons specialize in periorbital plastic and aesthetic surgeries. However, general ophthalmologists should receive more educational courses on oculoplastic and cosmetic surgery

    An overview of the Phalaenopsis orchid genome through BAC end sequence analysis

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    <p>Abstract</p> <p>Background</p> <p><it>Phalaenopsis </it>orchids are popular floral crops, and development of new cultivars is economically important to floricultural industries worldwide. Analysis of orchid genes could facilitate orchid improvement. Bacterial artificial chromosome (BAC) end sequences (BESs) can provide the first glimpses into the sequence composition of a novel genome and can yield molecular markers for use in genetic mapping and breeding.</p> <p>Results</p> <p>We used two BAC libraries (constructed using the <it>Bam</it>HI and <it>Hin</it>dIII restriction enzymes) of <it>Phalaenopsis equestris </it>to generate pair-end sequences from 2,920 BAC clones (71.4% and 28.6% from the <it>Bam</it>HI and <it>Hin</it>dIII libraries, respectively), at a success rate of 95.7%. A total of 5,535 BESs were generated, representing 4.5 Mb, or about 0.3% of the <it>Phalaenopsis </it>genome. The trimmed sequences ranged from 123 to 1,397 base pairs (bp) in size, with an average edited read length of 821 bp. When these BESs were subjected to sequence homology searches, it was found that 641 (11.6%) were predicted to represent protein-encoding regions, whereas 1,272 (23.0%) contained repetitive DNA. Most of the repetitive DNA sequences were gypsy- and copia-like retrotransposons (41.9% and 12.8%, respectively), whereas only 10.8% were DNA transposons. Further, 950 potential simple sequence repeats (SSRs) were discovered. Dinucleotides were the most abundant repeat motifs; AT/TA dimer repeats were the most frequent SSRs, representing 253 (26.6%) of all identified SSRs. Microsynteny analysis revealed that more BESs mapped to the whole-genome sequences of poplar than to those of grape or <it>Arabidopsis</it>, and even fewer mapped to the rice genome. This work will facilitate analysis of the <it>Phalaenopsis </it>genome, and will help clarify similarities and differences in genome composition between orchids and other plant species.</p> <p>Conclusion</p> <p>Using BES analysis, we obtained an overview of the <it>Phalaenopsis </it>genome in terms of gene abundance, the presence of repetitive DNA and SSR markers, and the extent of microsynteny with other plant species. This work provides a basis for future physical mapping of the <it>Phalaenopsis </it>genome and advances our knowledge thereof.</p

    Induction of Antinuclear Antibodies by De Novo Autoimmune Hepatitis Regulates Alloimmune Responses in Rat Liver Transplantation

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    Concanavalin A (Con A) is a lectin originating from the jack-bean and well known for its ability to stimulate T cells and induce autoimmune hepatitis. We previously demonstrated the induction of immunosuppressive antinuclear autoantibody in the course of Con A-induced transient autoimmune hepatitis. This study aimed to clarify the effects of Con A-induced hepatitis on liver allograft rejection and acceptance. In this study, we observed the unique phenomenon that the induction of transient de novo autoimmune hepatitis by Con A injection paradoxically overcomes the rejection without any immunosuppressive drug and exhibits significantly prolonged survival after orthotopic liver transplantation (OLT). Significantly increased titers of anti-nuclear Abs against histone H1 and high-mobility group box 1 (HMGB1) and reduced donor specific alloantibody response were observed in Con A-injected recipients. Induction of Foxp3 and IL-10 in OLT livers of Con A-injected recipients suggested the involvement of regulatory T cells in this unique phenomenon. Our present data suggest the significance of autoimmune responses against nuclear histone H1 and HMGB1 for competing allogeneic immune responses, resulting in the acceptance of liver allografts in experimental liver transplantation

    Post genomics era for orchid research

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    Among 300,000 species in angiosperms, Orchidaceae containing 30,000 species is one of the largest families. Almost every habitats on earth have orchid plants successfully colonized, and it indicates that orchids are among the plants with significant ecological and evolutionary importance. So far, four orchid genomes have been sequenced, including Phalaenopsis equestris, Dendrobium catenatum, Dendrobium officinale, and Apostaceae shengen. Here, we review the current progress and the direction of orchid research in the post genomics era. These include the orchid genome evolution, genome mapping (genome-wide association analysis, genetic map, physical map), comparative genomics (especially receptor-like kinase and terpene synthase), secondary metabolomics, and genome editing
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