172 research outputs found
On a theorem of Kummer
AbstractThe author gives a simple proof of a theorem of Kummer. Let q denote an odd prime, e = (q − 1)2 and let fe(x) denote the polynomial with leading coefficient 1 whose roots are 2 cos (2mπq) with 1 ≤ m ≤ e. Then all prime divisors p of the polynomial fe(x) have the form p ≡ ± 1 (rmmod q), except for p = q
Explicit Serre weights for GL_2 via Kummer theory
We give an explicit formulation of the weight part of Serre's conjecture for GL_2 using Kummer theory. This avoids any reference to p-adic Hodge theory. The key inputs are a description of the reduction modulo p of crystalline extensions in terms of certain "G_K-Artin-Scheier cocycles" and a result of Abrashkin which describes these cocycles in terms of Kummer theory. An alternative explicit formulation in terms of local class field theory was previously given by Dembele-Diamond-Roberts in the unramified case and by the second author in general. We show that the description of Dembele-Diamond-Roberts can be recovered directly from ours using the explicit reciprocity laws of Brueckner-Shaferevich-Vostokov. These calculations illustrate how our use of Kummer theory eliminates certain combinatorial complications appearing in these two papers
Global dynamics of the Kummer-Schwarz differential equation
Agraïments: The second author is partially supported by Dirección de Investigación DIUBB 1204084/RThis paper studies the Kummer-Schwarz differential equation 2 ˙x...x -3¨x2 = 0 which is of special interest due to its relationship with the Schwarzian derivative. This differential equation is transformed into a first order differential system in R3, and we provide a complete description of its global dynamics adding the infinity
Alzheimer's Disease pathology is not sufficient for CCR2(+) bone marrow engraftment in the CNS
Alzheimer's Disease pathology is not sufficient for CCR2(+) bone marrow engraftment in the CNS
Generalized Kummer congruences and Iwasawa invariants
We obtain the following generalization of the Kummer congruence: G\sb{c}(j,\chi,n) = -\left\lbrack{p\sp{-1}\Delta\sb{\rm c}\atop j}\right\rbrack {1\over n}(1 - \chi\omega\sp{-n}(p)\ p\sp{n-1}) B\sb{n,\chi\omega\sp{-n}}\in\doubz\sb{p}\lbrack\chi\rbrack ,where B\sb{n,\chi} is the generalized Bernoulli number associated to the Dirichlet character \chi,\ \Delta\sb{\rm c} is the difference operator\Delta\sb{\rm c} x\sb{n} = x\sb{n+c} - x\sb{n}\ {\rm and}\ \left\lbrack {p\sp{-1}\Delta\sb{\rm c}\atop j}\right\rbrackis a binomial coefficient operator.The classical generalization of the Kummer congruence isK\sb{c}(j,\chi,n) = -p\sp{-j}\Delta\sbsp{\rm c}{j}{1\over n}(1 - \chi\omega\sp{-n}(p)\ p\sp{n-1})\ B\sb{n,\chi\omega\sp{-n}}\in\doubz\sb{p}\lbrack \chi\rbrack .We show that this is periodic (mod p) in the sense thatK\sb{c}(j,\omega\sp{m},n)\equiv K\sb{c} (j\sp\prime,\omega\sp{m},n\sp\prime) (mod\ p\doubz\sb{p})if j\equiv j\sp\prime (mod\ p-1),\ j,\ j\sp\prime > 0, and n\equiv n\sp\prime As a special case of a more general result on the and invariants of a p-adic measure, we characterize the Iwasawa invariants and as = min\{ord\sb\pi(G\sb{c}(j,\chi,n))\mid j\geq0\} and \lambda(\chi) = min\{j\mid ord\sb\pi(G\sb{c}(j,\chi,n)) = \mu(\chi)\} provided that where is a local parameter of \doubq\sb{\rm p}\lbrack\chi\rbrack.The Iwasawa characterization of = 0 and a theorem of Kida on p-adic measures are obtained as by products of the method used.Made available in DSpace on 2011-05-07T12:53:45Z (GMT). No. of bitstreams: 2
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Distinct and Non-Redundant Roles of Microglia and Myeloid Subsets in Mouse Models of Alzheimer's Disease
Mononuclear phagocytes are important modulators of Alzheimer's disease (AD), but the specific functions of resident microglia, bone marrow-derived mononuclear cells, and perivascular macrophages have not been resolved. To elucidate the spatiotemporal roles of mononuclear phagocytes during disease, we targeted myeloid cell subsets from different compartments and examined disease pathogenesis in three different mouse models of AD (APPswe/PS1,APPswe, andAPP23mice). We identified chemokine receptor 2 (CCR2)-expressing myeloid cells as the population that was preferentially recruited to β-amyloid (Aβ) deposits. Unexpectedly, AD brains with dysfunctional microglia and devoid of parenchymal bone marrow-derived phagocytes did not show overt changes in plaque pathology and Aβ load. In contrast, restriction of CCR2 deficiency to perivascular myeloid cells drastically impaired β-amyloid clearance and amplified vascular Aβ deposition, while parenchymal plaque deposition remained unaffected. Together, our data advocate selective functions of CCR2-expressing myeloid subsets, which could be targeted specifically to modify disease burden in AD.</jats:p
Locus ceruleus controls Alzheimer's disease pathology by modulating microglial functions through norepinephrine
peer reviewedLocus ceruleus (LC)-supplied norepinephrine (NE) suppresses neuroinflammation in the brain. To elucidate the effect of LC degeneration and subsequent NE deficiency on Alzheimer's disease pathology, we evaluated NE effects on microglial key functions. NE stimulation of mouse microglia suppressed Abeta-induced cytokine and chemokine production and increased microglial migration and phagocytosis of Abeta. Induced degeneration of the locus ceruleus increased expression of inflammatory mediators in APP-transgenic mice and resulted in elevated Abeta deposition. In vivo laser microscopy confirmed a reduced recruitment of microglia to Abeta plaque sites and impaired microglial Abeta phagocytosis in NE-depleted APP-transgenic mice. Supplying the mice the norepinephrine precursor L-threo-DOPS restored microglial functions in NE-depleted mice. This indicates that decrease of NE in locus ceruleus projection areas facilitates the inflammatory reaction of microglial cells in AD and impairs microglial migration and phagocytosis, thereby contributing to reduced Abeta clearance. Consequently, therapies targeting microglial phagocytosis should be tested under NE depletion
Avaliação in vitro do efeito da desproteinização da dentina decídua de humanos na união de sistemas adesivos
Tese (doutorado) - Universidade Federal de Santa Catarina, Centro de Ciências da Saúde, Programa de Pós-Graduação em Odontologia, Florianópolis, 2009.O objetivo deste estudo, in vitro, foi avaliar a resistência de união à microtração e a nanoinfiltração, após desproteinização da dentina decídua humana. Foram utilizadas coroas de molares decíduos hígidos, as quais tiveram a superfície oclusal desgastada com lixas de carbeto de silício, até a completa exposição da superfície dentinária, e para padronização da smear layer. Os espécimes foram distribuídos em seis grupos, de acordo com o tipo de tratamento (condicionamento ácido - CA ou CA + hipoclorito de sódio - NaOCl) e os sistemas adesivos: One Step Plus - Bisco (OSP), Single Bond - 3M ESPE (SB), Prime & Bond 2.1 - Dentsply (PB). Para o procedimento de desproteinização foi utilizado hipoclorito de sódio 10% por 30s. Os sistemas adesivos e a resina (Filtek Z 250 - 3M ESPE) foram aplicados de acordo com as recomendações dos fabricantes e os espécimes armazenados em água destilada (37ºC/24h). As coroas foram seccionadas obtendo-se palitos (0,8mm2), os quais foram imediatamente submetidos ao teste de resistência à microtração (Instron - 0,5mm/min), até fratura dos corpos-de-prova. Os valores obtidos foram analisados por ANOVA e teste de Tukey (p<0,05). Os corpos-de-prova foram levados ao microscópio eletrônico de varredura (MEV), para visualização do tipo de fratura e os dados submetidos ao teste de Kruskal-Wallis (p<0,05).A nanoinfiltração foi avaliada utilizando-se palitos e nitrato de prata amoniacal como marcador químico. A deposição da prata foi visualizada ao MEV e analisada de duas formas: 1. Em porcentagem (%), em três regiões do palito, utilizando-se espectometria por energia dispersa por raio-x (EDS); 2. Atribuição de escores pela avaliação das fotomicrografias obtidas ao MEV. Os dados (%) foram analisados por ANOVA e teste de Tukey (p<0,05) e os escores submetidos aos testes de Kruskal-Wallis e U de Mann-Whitney (p<0,05).Os valores médios obtidos para o teste de microtração sem desproteinização foram [MPa(DP)]: PB - 35,95(6,12); SB - 28,82(6,38); OSP - 24,59(6,10); e após desproteinização: PB - 41,47(6,79); OSP - 31,09(9,16); SB - 25,55(7,23). Os padrões de fratura mais comumente encontrados foram coesiva do adesivo e mista, para todos os grupos. A nanoinfiltração, avaliada por porcentagem, apresentou diferença significante para as variáveis tratamento e adesivo. A desproteinização da dentina condicionada reduziu significativamente a infiltração para o adesivo OSP. Para a variável sistema adesivo, na análise por porcentagem e por escores, o adesivo SB apresentou significativamente maior infiltração pelo nitrato de prata quando comparado ao OSP e PB, que foram similares entre si. Conclui-se que a resistência adesiva não foi influenciada pela remoção do colágeno exposto pelo condicionamento ácido e que a nanoinfiltração não foi evitada pela desproteinização dentinária
RFID-gestützte Medikation im Krankenhaus: Ein Erfahrungsbericht
Innerhalb des vorliegenden Beitrags wird die Anwendung der RFID- Funktechnologie in der Medikationsunterstützung im Krankenhaus anhand einer realen Umsetzung am Universitätsklinikum Jena untersucht. Hierzu werden mittels problemzentrierter Experteninterviews die praktischen Erfahrungen analysiert, um die zentralen Faktoren, die die Einführung einer RFID-Lösung beeinflussen, zu identifizieren. Ein besonderer Schwerpunkt liegt dabei auf technischen, sozialen und betriebswirtschaftlichen Fragestellungen. So werden technische Schwierigkeiten identifiziert, die zusammen mit den hohen Betriebskosten den Einsatz der RFID-Technologie für die Medikationsunterstützung in Frage stellen. Ergebnis der Untersuchung ist, dass ein optisches System unter den gegebenen Umständen besser geeignet scheint. Auch wenn ein flächendeckender Einsatz als wenig sinnvoll erachtet wird, kann die RFID-Technologie dennoch in bestimmten Teilbereichen der Medikationsunterstützung zu einem Mehrwert führen
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