A Filtration on the Cohomology Rings of Regular Nilpotent Hessenberg Varieties

Let n be a positive integer. The main result of this manuscript is a construction of a filtration on the cohomology ring of a regular nilpotent Hessenberg variety in GL(n, C) / B such that its associated graded ring has graded pieces (i.e., homogeneous components) isomorphic to rings which are related to the cohomology rings of Hessenberg varieties in GL(n- 1 , C) / B, showing the inductive nature of these rings. In previous work, the first two authors, together with Abe and Masuda, gave an explicit presentation of these cohomology rings in terms of generators and relations. We introduce a new set of polynomials which are closely related to the relations in the above presentation and obtain a sequence of equivalence relations they satisfy; this allows us to derive our filtration. In addition, we obtain the following three corollaries. First, we give an inductive formula for the Poincaré polynomial of these varieties. Second, we give an explicit monomial basis for the cohomology rings of regular nilpotent Hessenberg varieties with respect to the presentation mentioned above. Third, we derive a basis of the set of linear relations satisfied by the images of the Schubert classes in the cohomology rings of regular nilpotent Hessenberg varieties. Finally, our methods and results suggest many directions for future work; in particular, we propose a definition of “Hessenberg Schubert polynomials” in the context of regular nilpotent Hessenberg varieties, which generalize the classical Schubert polynomials. We also outline several open questions pertaining to them

Propose of Design Method on Level II load of open Sabo dam

This study presents a load model of the Level II design for a steel pipe open Sabo dam. The Level II design is associated with a lower occurrence frequency than the conventional design concept, to the performance of debris flow trapping efficacy against higher discharge caused by heavy precipitation in recent years. A dynamic load model reveals experimental observations, and static models similar to the conventional design load models are evaluated from the viewpoint of a rational load. Dynamic and elastoplastic analyses are conducted for one structure, and three types of basin area models utilized Level II load models using a dynamic load. The safety evaluation results confirm that the design load models are composed of each other

Clinical Course of Laryngeal Granuloma Without Surgical Treatment

Laryngeal granuloma is a rather common pathological entity, but its therapeutic strategy is still controversial. In general, therapeutic strategy consists of medications such as steroids or tranilast, in addition to vocal hygiene and surgery. Surgical removal is most commonly performed. However, it has recently been reported that recurrence after surgery is high

FEDSM2005-77387 STEADY ANALYSIS OF THERMODYNAMIC EFFECT OF PARTIAL CAVITATION USING SINGULARITY METHOD

ABSTRACT It is well known that the suction performance of turbopumps in cryogenic fluids is much better than that in cold water because of thermodynamic effect of cavitation. In the present study, an analytical method to simulate partially cavitating flow with the thermodynamic effect in a cascade is proposed; heat transfer between the cavity and the ambient fluid is modeled by one-dimensional unsteady heat conduction model under the slender body approximation and is coupled with a flow analysis using singularity methods. In this report, the steady analysis is performed and the results are compared with those of experiments to validate the model of the present analysis. This analysis can be easily extended into unsteady stability analysis for cavitation instabilities such as rotating cavitation and cavitation surge

Surgical outcome comparisons of multifocal IOLs of Lentis Comfort LS-313 MF15 and Tecnis Eyhance DIB00V

AIM: To compare the surgical outcomes of a multifocal intraocular lens (IOL; Lentis Comfort LS-313 MF15) with those of an enhanced monofocal IOL (Tecnis Eyhance DIB00V). METHODS: This retrospective study included patients who underwent cataract surgery with LS-313 MF15 or Eyhance IOL implantation. Data regarding patient demographics, surgical records, and ophthalmic examination before the cataract surgery and one and three months postoperatively were collected. Visual acuities, refractive values, defocus curves, contrast sensitivities and subjective symptoms were evaluated. RESULTS: Among the 71 eyes (47 patients) included in this study, 32 eyes (20 patients) underwent LS-313 MF15 IOL implantation, and 39 eyes (27 patients) underwent Eyhance IOL implantation. No significant differences were observed in age, axial length, or refractive error between the two groups preoperatively. Furthermore, the distance-corrected and uncorrected distance visual acuities one month postoperatively did not differ between the groups, and both groups had sufficient visual acuities at the distances of 5, 1 m, 70, 50, and 30 cm. Other ophthalmic data, including subjective symptoms based on the 14-item Visual Function Index Questionnaire, monocular defocus curves, contrast sensitivities, and halo and glare, did not differ between the groups three months postoperatively. Moreover, both groups had good outcomes. The spherical equivalent one month postoperatively was significantly myopic in the LS-313 MF15 group compared with that in the Eyhance group (P=0.033); however, this difference was not observed three months postoperatively (P=0.471). CONCLUSION: Comparison of the surgical outcomes of LS-313 MF15 with those of Eyhance with different optical properties reveal that both IOLs show good postoperative outcomes, with no significant differences being noted between the two IOLs

Impairment of bimanual in-phase movement during recovery from frontal lobe tumor surgery: a case report

The mechanisms underlying bimanual coordination have not yet been fully elucidated. Here, we evaluated the clinical features of bimanual movement impairment in a patient following surgery for a frontal lobe tumor. The patient was an 80-year-old man who had undergone subtotal tumor resection for a tumor in the right superior frontal gyrus. Histological examination of the resected specimen led to the diagnosis of malignant lymphoma of the diffuse large B-cell type, and the patient subsequently received high-dose methotrexate-based chemotherapy. Postoperatively, the patient had difficulty with bimanual movement, and on the 5th postoperative day we found that the impairment could not be attributed to weakness. Temporal changes in the characteristics of manual movements were analyzed. Bimanual diadochokinesis (opening/closing of the hands, pronation/supination of the forearms, and sequential finger movements) was more disturbed than unilateral movements; in-phase movements were more severely impaired than anti-phase movements. Bimanual movement performance was better when cued using an auditory metronome. On the 15th postoperative day, movements improved. The present observations show that in addition to the disturbance of anti-phase bimanual movements, resection of the frontal lobe involving the supplementary motor area (SMA) and premotor cortex (PMC) can cause transient impairment of in-phase bimanual diadochokinesis, which can be more severe than the impairment of anti-phase movements. The effect of auditory cueing on bimanual skills may be useful in the diagnosis of anatomical localization of the superior frontal gyrus and functional localization of the SMA and PMC and in rehabilitation of patients with brain tumors, as in the case of degenerative movement disorders

Isoform D of vascular endothelial growth factor in systemic capillary leak syndrome : a case report

Background: Systemic capillary leak syndrome is a rare condition characterized by episodic attacks of hypovolemia due to systemic capillary hyperpermeability, which results in profound hypotension and edema. Although the implication of vascular endothelial growth factor, angiopoietin-2, and C-X-C motif chemokine 10 has been suggested, the pathogenesis of systemic capillary leak syndrome remains unclear. In this report, we describe a case of systemic capillary leak syndrome in which serum isoform D of vascular endothelial growth factor was elevated. To the best of our knowledge, this is the first reported case of systemic capillary leak syndrome in which isoform D of vascular endothelial growth factor is suggested as the plausible biomarker. Case presentation: A 41-year-old Japanese man was transferred to our emergency department. He was hypotensive, tachycardic, and edematous over the trunk and all four limbs. He received aggressive intravenous fluid therapy and underwent fasciotomy of the right forearm to prevent muscle necrosis. A diagnosis of systemic capillary leak syndrome was suspected. The presence of serum monoclonal immunoglobulin G and κ light chain supported this diagnosis. Prevention of hypotensive crises was unsuccessfully attempted with theophylline, intravenous immunoglobulin, high-dose dexamethasone, bortezomib, melphalan, and prednisolone; however, the patient’s attacks dramatically disappeared after the introduction of thalidomide. The serum of the patient was stored soon after the onset of hypotensive crisis and analyzed to profile possible mediators responsible for the capillary leak. The concentration of vascular endothelial growth factor, angiopoietin-2, and C-X-C motif chemokine 10 were all within normal ranges. Meanwhile, we found that isoform D of vascular endothelial growth factor was elevated, which was normalized after the introduction of thalidomide. Conclusions: In our patient, isoform D of vascular endothelial growth factor (instead of vascular endothelial growth factor) may have been a causative factor of hypotensive crises, since isoform D contributes to vascular endothelial growth factor receptor-2 signaling, which is the major mediator of the permeability-enhancing effects of vascular endothelial growth factor. We suggest the measurement of isoform D of vascular endothelial growth factor in patients with systemic capillary leak syndrome in whose serum vascular endothelial growth factor is not elevated

Association of Physical Performance and Pain With Fear of Falling Among Community?Dwelling Japanese Women Aged 65 Years and Older

Our aim was to explore the association of physical performance and pain with fear of falling among community-dwelling Japanese women. The subjects were 278 women aged 65 years and over. We collected information on fear of falling, painful joints, comorbidities, falls in the previous year, and cataracts. Walking time (distance of 6 m), chair stand time (5 times), grip strength, the timed up and go test (TUG), and functional reach were measured. The prevalence of fear of falling was 36.3%, and it increased with age, but it was not significant (P=0.081). Multivariate logistic regression analysis showed that poor physical performance (longer walking time, longer chair stand time, weaker grip strength, and longer TUG) and pain (low back, and upper and lower extremity pain) were significantly associated with fear of falling after adjusting for age, body mass index, comorbidities, falls in the previous year, and cataracts. Maintaining physical functioning and managing pain may be important for elderly women with fear of falling

Denosumab prevents bone loss in newly diagnosed malignant lymphoma patients undergoing corticosteroid-containing chemotherapy: a prospective, non-randomized study

Background: Malignant lymphoma patients have a high risk of bone mineral density (BMD) loss caused by corticosteroid-containing chemotherapy. Bisphosphonates have been used to prevent bone loss: however, little is known about effects of denosumab, a fully humanized monoclonal antibody inhibiting osteoclast-mediated bone resorption. Methods: This clinical trial was conducted in newly diagnosed lymphoma patients undergoing corticosteroid-containing chemotherapy. BMD was evaluated at baseline, and patients with a lumbar spine T-score of ? -1 were subcutaneously administered once with 60 mg of denosumab (“Denosumab” group). Patients with a T-score > -1 were allocated to the “No treatment” group. BMD was reevaluated at 24 weeks after enrollment. Bone turnover markers (BTMs) were collected at 0, 2, and 24 weeks.Results: Forty-three patients were enrolled (19 in the “Denosumab” group and 24 in the “No treatment” group). Patients in the “No treatment” group had decreased T-scores for the lumbar spine or femoral neck (P < 0.0001 or P = 0.0029, respectively) at 24 weeks after enrollment, whereas both T-scores were stable in the “Denosumab” group. Of the 18 patients in the “Denosumab” group, 12 had a T-score change from baseline (ΔT-score) of ? 0, whereas the remaining six patients had a ΔT-score < 0. These six patients had severely low T-scores at enrollment. Osteoclastic BTMs were strongly suppressed during the 24 weeks in the “Denosumab” group. The probability of major osteoporotic fracture or hip fracture in the “No treatment” group increased during the 24 weeks (P = 0.0195 or P = 0.0289, respectively), whereas pretreatment with denosumab prevented increased risks of both types of fractures. Conclusions: Our data suggests that BMD screening at diagnosis of lymphoma should be considered so that the bone health of lymphoma survivors can be improved with denosumab