Recognizing and realizing cactus metrics

The problem of realizing finite metric spaces in terms of weighted graphs has many applications. For example, the mathematical and computational properties of metrics that can be realized by trees have been well-studied and such research has laid the foundation of the reconstruction of phylogenetic trees from evolutionary distances. However, as trees may be too restrictive to accurately represent real-world data or phenomena, it is important to understand the relationship between more general graphs and distances. In this paper, we introduce a new type of metric called a cactus metric, that is, a metric that can be realized by a cactus graph. We show that, just as with tree metrics, a cactus metric has a unique optimal realization. In addition, we describe an algorithm that can recognize whether or not a metric is a cactus metric and, if so, compute its optimal realization in $O(n^3)$ time, where $n$ is the number of points in the space

Treatment Outcomes of Pulmonary Metastases from Head and Neck Squamous Cell Carcinoma

Although the lung is the most common site of distant metastases from head and neck squamous cell carcinoma (HNSCC), the number of reports about the effects of pulmonary metastasectomy for the treatment of lung metastasis from HNSCC is limited. Metachronous pulmonary metastases were detected in 45 HNSCC patients at Kumamoto University Hospital from 1998 to 2018. Twenty-two patients underwent an operative resection (Ope group) and 23 underwent chemotherapy (Chemo group). The 3-year overall survival (OS) rate and median OS were evaluated. The effects of adjuvant chemotherapy after pulmonary metastasectomy and of new drugs (cetuximab and nivolumab), in the chemo group were also assessed. The 3-year OS rates and median OS were: Ope, 66.1% and 31.5 months; Chemo, 39.7% and 18 months, respectively. In the Ope group, addi-tional recurrences were significantly fewer in the patients who underwent adjuvant chemotherapy post-surgery versus the patients who underwent surgery alone (p = 0.013). In the Chemo group, the 3-year OS rate of the patients who received new drugs was significantly better than that of the patients who did not (p = 0.021). Adjuvant chemotherapy after pulmonary metastasectomy may be a preferable treatment option for preventing recurrences. Cetuximab and nivolumab have a potential to improve OS

Hochuekkito (TJ-41), a Kampo Formula, Ameliorates Cachexia Induced by Colon 26 Adenocarcinoma in Mice

Cachexia, a major cause of cancer-related death, is characterized by depletion of muscle and fat tissues, anorexia, asthenia, and hypoglycemia. Recent studies indicate that secretions of proinflammatory cytokines such as interleukin-6 (IL-6) play a crucial role in cachexia development, and that these cytokines are secreted from not only cancer cells but also host cells such as macrophages. In this study, we investigated the therapeutic effects of hochuekkito, a Kampo formula, on cachexia induced by colon 26 adenocarcinoma in mice. Hochuekkito treatment did not inhibit tumor growth, but significantly attenuated the reduction in carcass weight, food and water intake, weight of the gastrocnemius muscle and fat tissue around the testes, and decrease of serum triglyceride level compared with controls. Furthermore, hochuekkito treatment significantly reduced serum IL-6 level and IL-6 expression level in macrophages in tissues surrounding the tumor. In vitro studies showed that hochuekkito suppressed the production of IL-6 by THP-1 or RAW264.7 macrophage cells, although it did not affect IL-6 production by colon 26 carcinoma cells. These results suggest that hochuekkito inhibits the production of proinflammatory cytokines, particularly IL-6, by host cells such as macrophages. Therefore, hochuekkito may be a promising anticachectic agent for the treatment of patients with cancer

Effects of a sleep hygiene education program on children in a Japanese elementary school

Our objective in this study was to evaluate the effects of a Sleep Hygiene Education Program (SHEP) on sleep quality in students aged 9 to 11 in a Japanese elementary school. In the SHEP we gave a 75-minute lecture to the students. Both before and after the program, we distributed sleep-related questionnaires to 110 students and then collected and analyzed them. Three items concerning sleep quality; \u27Time of going to bed\u27, \u27Feeling upon waking up\u27 and \u27Who wakes you up ?\u27 were statistically analyzed using McNemar\u27s Test. The results showed that there was no significant change in the items \u27Time of going to bed\u27 and \u27Who wakes you up ?\u27 comparing before and after the program. However, the item \u27Feeling upon waking up\u27 showed a significant positive change after the program. These results suggest that SHEP has the potential for improving sleep quality even in young students

Temperature dependence of magnetic first-order-reversal-curves for hollow Fe3O4 submicron particles

We report results of temperature dependence of first-order-reversal curves (FORCs) for hollow submicron particles with different outer diameter ranging from 400 to 700 nm. At low temperatures below the Verwey transition temperature, Tv, the FORC distribution exhibits a butterfly-like feature, associated with two pronounced FORC peaks, indicating the formation of a vortex structure for hollow Fe3O4 submicron particles. With increasing temperature from T = 10 K, the intensity of the two peaks steeply decreases and the peaks merge at T ∼ 130 K close to Tv. The results suggest a change of stability of the vortex state with temperature and were explained as due to a change of magnetic anisotropy associated with a structural transition at Tv

Significance of Continuous Low-Dose Lenvatinib for the Treating of the Patients with Unresectable Thyroid Carcinoma

The tyrosine kinase inhibitor lenvatinib has been confirmed as an effective treatment option for patients with unresectable thyroid carcinoma. We conducted a retrospective analysis of the significance of the effect of continued lenvatinib treatment for the longest duration possible at a reasonable daily dose and with a minimum discontinuation period in 42 patients with unresectable thyroid carcinoma treated with lenvatinib between 2015 and 2020. A Cox proportional hazard model-based analysis revealed that the overall survival of the patients treated with a <8 mg/day mean dose of lenvatinib was significantly better than that of the patients treated with 8-24 mg/day (hazard ratio [HR] 0.38 for 1.14-4.54 mg/day, and HR 0.01 for 4.56-7.97 mg/day) adjusted for various factors (e.g., sex, age, drug interruption period). The cumulative dose of lenvatinib administered tended to be higher in the patients treated with low doses (< 8 mg/day) than in the patients treated with relatively high doses (8-24 mg/day). Considering its adverse events, the continuation of lenvatinib treatment with an adequate daily dose and drug interruption may help prolong the survival of patients with unresectable thyroid carcinoma