293 research outputs found
Classification of differential symmetry breaking operators for differential forms
We give a complete classification of conformally covariant differential
operators between the spaces of differential -forms on the sphere and
-forms on the totally geodesic hypersphere by analyzing the
restriction of principal series representations of the Lie group .
Further, we provide explicit formul\ae{} for these matrix-valued operators in
the flat coordinates and find factorization identities for them.Comment: This note was published in C. R. Acad. Sci. Paris, Ser. I, (2016),
http://dx.doi.org/10.1016/j.crma.2016.04.01
Conformal symmetry breaking operators for differential forms on spheres
We give a complete classification of conformally covariant differential
operators between the spaces of -forms on the sphere and -forms on
the totally geodesic hypersphere . Moreover, we find explicit
formul{\ae} for these new matrix-valued operators in the flat coordinates in
terms of basic operators in differential geometry and classical orthogonal
polynomials. We also establish matrix-valued factorization identities among all
possible combinations of conformally covariant differential operators. The main
machinery of the proof is the "F-method" based on the "algebraic Fourier
transform of Verma modules" (Kobayashi-Pevzner [Selecta Math. 2016]) and its
extension to matrix-valued case developed here. A short summary of the main
results was announced in [C. R. Acad. Sci. Paris, 2016]
交代制勤務年数における男性更年期症状とその背景としての生活習慣
Background: There are various health problems in rotating shift workers. There have been few studies on the associations of male climacteric symptoms with duration of working and lifestyle. Objective: The aim of this study was to determine the differences in male climacteric symptoms depending on the number of working years and to determine whether lifestyle habits differ depending on the number of working years in rotating shift workers. Methods: We collected participant’s data from the manufacturing companies in Japan during the period from March to May in 2017. We conducted a self-administered questionnaire survey in 1561 male rotating night shift workers. Male climacteric symptoms were evaluated by using the Aging Males’ Symptoms (AMS) rating scale. We analyzed 636 rotating shift workers aged over 40 years old whose all AMS data was collected. Results: A significant difference in psychological AMS score was found between men who had worked for 10 - 19 years (9.4 ± 3.9) and men who had worked for more than 40 years (7.6 ± 3.0) (p = 0.011). Sexual functional AMS score significantly differed depending on the number of working years (less than 10 years: 8.1 ± 3.9, 10 - 19 years: 9.8 ± 4.1, 20 - 29 years: 7.9 ± 3.3, 30 - 39 years: 9.3 ± 3.5, more than 40 years: 9.3 ± 3.5) (p < 0.001). The proportion of workers with a balanced meal intake was significantly lower in men who had worked for less than 10 years and the proportions of such workers were significantly higher in men who had worked for 10 - 19 years and for more than 40 years. The proportions of men who did not drink alcohol were high in men who had worked for less than 10 years and 20 - 29 years and low in men who had worked more than 30 years. Conclusion: Psychological AMS score and sexual functional AMS score are significantly different among the 5 groups according to the number of working years on rotating shift. In addition, well-balanced diet on day shift and reduction of alcohol drinking is a related-factor for long-term rotating night shift workers
A microtubule-dynein tethering complex regulates the axonemal inner dynein f (I1)
Motility of cilia/flagella is generated by a coordinated activity of thousands of dyneins. Inner dynein arms (IDAs) are particularly important for the formation of ciliary/flagellar waveforms, but the molecular mechanism of IDA regulation is poorly understood. Here, we show using cryo-electron tomography and biochemical analyses of Chlamydomonas flagella that a conserved protein FAP44 forms a complex that tethers IDA f (I1 dynein) head domains to the A-tubule of the axonemal outer doublet microtubule. In wild-type flagella, IDA f showed little nucleotide-dependent movement except for a tilt in the fbeta head perpendicular to the microtubule-sliding direction. In the absence of the tether complex, however, addition of ATP and vanadate caused a large conformational change in the IDA f head domains, suggesting that the movement of IDA f is mechanically restricted by the tether complex. Motility defects in flagella missing the tether demonstrates the importance of the IDA f-tether interaction in the regulation of ciliary/flagellar beating
Experimental and Theoretical Progress of Linear Collider Final Focus Design and ATF2 Facility
In this brief overview we will reflect on the process of the design of the
linear collider (LC) final focus (FF) optics, and will also describe the
theoretical and experimental efforts on design and practical realisation of a
prototype of the LC FF optics implemented in the ATF2 facility at KEK, Japan,
presently being commissioned and operated
エナメル上皮腫におけるHeat Shock Protein27の発現と細胞分化
The expression of HSP27 and some CKs were examined the 40 cases of typical solid/multicystic ameloblastoma using immunohistochemical techniques. In order to examine the relevance of HSP in cell differentiation, we focused on the cytoskeletal expression of CK. CK19 is a marker of typical odontogenic epithelium widely observed in follicular and plexiform types of ameloblastomas. Since staining with CK14 is one of the measures of the differentiation potential of squamous cells and is extensively expressed in both follicular and plexiform types, it implies that squamous differentiation of each type can occur. CK8 was strongly detected in tumor nests in plexiform type but weakly detected in follicular type. It was considered that the expression of HSP27 in plexiform type correlated with the expression of CK8 suggesting that HSP27 might have regulated the expression of CK8.2013博士(歯学)松本歯科大
多形腺腫における細胞分化の促進因子としての Wnt シグナルの可能性
There are well known that Wnt signaling was some roles of cell differentiation at the development tissues, especially the oral and maxillofacial regions of some developmental stages. Therefore, to determine Wnt signaling in the pleomorphic adenoma tissues, we examined. The expression of Wnt1 and β-catenin as well as the distribution of various cytoskeletal proteins CK7 and CK13 was examined in 30 cases of pleomorphic adenoma by immunohistochemistry. Wnt1 was detected in almost all tumor cells. The peripheral columnar cells in squamous metaplasia and small cuboidal cells in duct-like structures were strongly positive to Wnt1. Although β-catenin was clearly localized on the cell membrane of tumor cells, nuclear translocation was observed in small cuboidal cells and in some basaloid cells. The immunofluorescent staining pattern of Wnt1 and CK7 as well as Wnt1 and CK13 was consistent with IHC results. Thus, in pleomorphic adenoma, Wnt is involved in tumor cell differentiation of peripheral columnar cells forming solid nests and small peripheral columnar cells forming duct-like structures. Moreover, among the three currently known Wnt pathways, β-catenin is the suggested pathway working during cell differentiation. Furthermore, peripheral columnar cells in solid tumor nests and in squamous metaplasia are governed by another Wnt pathway other than β-catenin. Therefore, Wnt signaling through β-catenin pathway may be involved in the ‘mixed’ differentiation characteristic of pleomorphic adenoma although another pathway may also be possibly working in other parts of the tumor tissue.2014博士(歯学)松本歯科大
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