Localization of the Grover walks on spidernets and free Meixner laws

A spidernet is a graph obtained by adding large cycles to an almost regular tree and considered as an example having intermediate properties of lattices and trees in the study of discrete-time quantum walks on graphs. We introduce the Grover walk on a spidernet and its one-dimensional reduction. We derive an integral representation of the $n$-step transition amplitude in terms of the free Meixner law which appears as the spectral distribution. As an application we determine the class of spidernets which exhibit localization. Our method is based on quantum probabilistic spectral analysis of graphs.Comment: 32 page

Incidence of seed migration to the chest, abdomen, and pelvis after transperineal interstitial prostate brachytherapy with loose 125I seeds

<p>Abstract</p> <p>Background</p> <p>The aim was to determine the incidence of seed migration not only to the chest, but also to the abdomen and pelvis after transperineal interstitial prostate brachytherapy with loose ¹²⁵I seeds.</p> <p>Methods</p> <p>We reviewed the records of 267 patients who underwent prostate brachytherapy with loose ¹²⁵I seeds. After seed implantation, orthogonal chest radiographs, an abdominal radiograph, and a pelvic radiograph were undertaken routinely to document the occurrence and sites of seed migration. The incidence of seed migration to the chest, abdomen, and pelvis was calculated. All patients who had seed migration to the abdomen and pelvis subsequently underwent a computed tomography scan to identify the exact location of the migrated seeds. Postimplant dosimetric analysis was undertaken, and dosimetric results were compared between patients with and without seed migration.</p> <p>Results</p> <p>A total of 19,236 seeds were implanted in 267 patients. Overall, 91 of 19,236 (0.47%) seeds migrated in 66 of 267 (24.7%) patients. Sixty-nine (0.36%) seeds migrated to the chest in 54 (20.2%) patients. Seven (0.036%) seeds migrated to the abdomen in six (2.2%) patients. Fifteen (0.078%) seeds migrated to the pelvis in 15 (5.6%) patients. Seed migration occurred predominantly within two weeks after seed implantation. None of the 66 patients had symptoms related to the migrated seeds. Postimplant prostate D90 was not significantly different between patients with and without seed migration.</p> <p>Conclusion</p> <p>We showed the incidence of seed migration to the chest, abdomen and pelvis. Seed migration did not have a significant effect on postimplant prostate D90.</p

Molecular characterization of the CRa gene conferring clubroot resistance in Brassica rapa

Clubroot disease is one of the major diseases affecting Brassicaceae crops, and a number of these crops grown commercially, such as Chinese cabbage (Brassica rapa L. ssp. pekinensis), are known to be highly susceptible to clubroot disease. To provide protection from this disease, plant breeders have introduced genes for resistance to clubroot from the European turnip into susceptible lines. The CRa gene confers specific resistance to the clubroot pathogen Plasmodiophora brassicae isolate M85. Fine mapping of the CRa locus using synteny to the Arabidopsis thaliana genome and partial genome sequences of B. rapa revealed a candidate gene encoding a TIR-NBS-LRR protein. Several structural differences in this candidate gene were found between susceptible and resistant lines, and CRa expression was observed only in the resistant line. Four mutant lines lacking clubroot resistance were obtained by the UV irradiation of pollen from a resistant line, and all of these mutant lines carried independent mutations in the candidate TIR-NBS-LRR gene. This genetic and molecular evidence strongly suggests that the identified gene is CRa. This is the first report on the molecular characterization of a clubroot Resistance gene in Brassicaceae and of the disease resistance gene in B. rapa.ArticlePLANT MOLECULAR BIOLOGY. 80(6):621-629 (2012)journal articl

Electrophoretic Behavior of Microgel-Immobilized Polyions

Electrophoretic behavior was studied for <i>N</i>-isopropylacrylamide (NIPA) microgels, into which different amounts of poly­(acrylic acid) (PAAc) were physically entrapped. Copolymer microgels of NIPA with acrylic acid (AAc) were also studied as a control. Electrophoretic mobility was measured in 0.1 M NaCl solution at 25 °C as a function of pH, using an electrophoretic light scattering technique. The mobility of the copolymer microgel whose COOH groups are fully ionized agreed with that of PAAc when its ionization degree (α_n) is close to the mole fraction (<i>f</i>_AAc) of the AAc unit in the copolymer gel. There was good agreement between the mobility values of the copolymer microgel and the linear NIPA/AAc copolymer when their AAc contents are very close to each other. However, the mobility of the microgel with immobilized PAAc was higher than that of the copolymer microgel, even when there was no difference in the AAc content for both microgels. Moreover, the immobilized PAAc showed a higher mobility than the free PAAc when its α_n is equal to <i>f</i>_AAc in the immobilized system. No correlation was observed between the mobility and the hydrodynamic radius. These results were discussed in terms of the free draining model (FDM) for the electrophoresis of polyelectrolytes. It became apparent that the mobility difference depending upon whether (i) the PAAc ions are in the cage of the NIPA network or (ii) the AAc units are copolymerized with the network chain is due to the structural difference of the segments considered in the FDM

Design of new compact ECR ion source for C5+ production

The Heavy Ion Medical Accelerator in Chiba (HIMAC) was constructed as the first medical dedicated heavy ion accelerator facility at National Institute of Radiological Sciences (NIRS). Over 9000 cancer patients have been treated with 140-430 MeV/u carbon beams since 1994. Compact ECR ion source with all permanent magnets, named Kei2, was developed for production of C4+ ions for medical treatment at NIRS. A compact ECR ion source for Gunma University (Gunma University Heavy Ion Medical Center: GHMC), Saga carbon-ion radiotherapy (Saga Heavy Ion Medical Accelerator in Tosu: SAGA HIMAT) and Kanagawa carbon-ion radiotherapy (Ion-beam Radiation Oncology Center in Kanagawa: i-ROCK) facility has been operated for medical use. It is a copy of the Kei2 which was developed by NIRS.In order to reduce operation cost of the injector for next designed carbon ion facility, we start design of new compact ECR ion source for C5+ production. Some dependence (mirror field, microwave power and frequency) were checked for optimal parameter of C5+ production at 18 GHz NIRS-HEC source. Results of experiments and specification of new compact source are described in this presentation.The 22nd International Workshop on ECR Ion Sources (ECRIS2016

Necessary conditions for admissibility of matrix linear estimators in a multivariate linear model

Parameter matrix linear function, Quadratic matrix loss functions, Matrix normal distributions, Unknown covariance matrix, The Stein problem, James-Stein type matrix estimator, Primary 62C15, Secondary 62H12,