The limit theorem with respect to the matrices on non-backtracking paths of a graph

We give a limit theorem with respect to the matrices related to non-backtracking paths of a regular graph. The limit obtained closely resembles the $k$th moments of the arcsine law. Furthermore, we obtain the asymptotics of the averages of the $p^m$th Fourier coefficients of the cusp forms related to the Ramanujan graphs defined by A. Lubotzky, R. Phillips and P. Sarnak

A Report on Overseas Teaching Practicum by Graduate Students in Elementary/Secondary Schools in the United States （XII）

This paper reports on the overseas teaching practicum in the U.S., which was supposed to be the 12th time this year. Eight students joined this year’s program and they prepared for the practicum in the U.S. They met regularly to discuss the lesson plans and deepen their understanding on how to create a lesson and what scaffolding steps they should prepare for conveying messages to American children who know little about Japanese culture and having different background from us. Unfortunately, just a few days before the departure, we had to give up our visit to the U.S. since there was a high chance of a hurricane hitting the area we were to visit. Though we could not make our visit in September, instead we held a forum in November and exchanged discussion on the impact of the program to the participants and the schools which accept us. The details of the lesson plans and the forum are reported in this paper

糖尿病患者の在宅ケア向上をめざしたTCDS育成の試み

The Tokushima City Medical Association has cultivated the talented persons of nursing care profession by both the education of diabetes and the instruction of medical treatments to secure the quality of home care for increasing diabetic patients. They are certified to be the Tokushima City Certified Diabetes Supporter（TCDS）. In Tokushima Prefecture, the rate of aging and the certification rate of care need are ranked high in Japan, and the medical measures should be provided for the aged diabetic patients utilizing team nursing care as well as team medical care, because many of these patients are obliged to receive home medical care owing to the introduction of community-based integrated care systems. Tokushima Prefecture kept the worst of age-adjusted diabetes mortality and also the worst of crude diabetes mortality in recent years. Therefore, the program for the TCDS was arranged by the staffs composed of board certified fellows of the Japan Diabetes Society, certified diabetes physicians of Tokushima, and Tokushima local certified diabetes educators （Tokushima LCDEs）. The program includes the lectures of diabetes and medical treatments, the practical training, and the group work by the World Café system collaborated with the medical staffs across many different fields, using the dramatic skit presented by the medical doctors and the LCDE staffs after narrating the scenario for the blood glucose control of diabetic patients to be treated. The persons who have completed the training course are certified as the TCDS by The Tokushima City Medical Association. The workshop is held twice a year and the certification is renewed every three years without examination. In conclusion, it is suggested that the development of TCDS leads to the improvement of the ability of nursing care staffs to support diabetic treatments and the advancement of the quality of home medical care for the aged diabetic patients

Revisiting symmetries of lattice fermions via spin-flavor representation

Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the U(4)\timesU(4)A symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spin-flavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. We also explore two types of minimally doubled fermion, and discover a similar kind of symmetry enhancement and its spontaneous breakdown.Comment: 25 pages, no figure;v2 typos corrected;v3 Sec.2 is shortened. To appear in JHE

Proteomic Biomarkers for Acute Interstitial Lung Disease in Gefitinib-Treated Japanese Lung Cancer Patients

Interstitial lung disease (ILD) events have been reported in Japanese non-small-cell lung cancer (NSCLC) patients receiving EGFR tyrosine kinase inhibitors. We investigated proteomic biomarkers for mechanistic insights and improved prediction of ILD. Blood plasma was collected from 43 gefitinib-treated NSCLC patients developing acute ILD (confirmed by blinded diagnostic review) and 123 randomly selected controls in a nested case-control study within a pharmacoepidemiological cohort study in Japan. We generated ∼7 million tandem mass spectrometry (MS/MS) measurements with extensive quality control and validation, producing one of the largest proteomic lung cancer datasets to date, incorporating rigorous study design, phenotype definition, and evaluation of sample processing. After alignment, scaling, and measurement batch adjustment, we identified 41 peptide peaks representing 29 proteins best predicting ILD. Multivariate peptide, protein, and pathway modeling achieved ILD prediction comparable to previously identified clinical variables; combining the two provided some improvement. The acute phase response pathway was strongly represented (17 of 29 proteins, p = 1.0×10−25), suggesting a key role with potential utility as a marker for increased risk of acute ILD events. Validation by Western blotting showed correlation for identified proteins, confirming that robust results can be generated from an MS/MS platform implementing strict quality control