Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves

We construct explicit solutions to continuous motion of discrete plane curves described by a semi-discrete potential modified KdV equation. Explicit formulas in terms the $\tau$ function are presented. B\"acklund transformations of the discrete curves are also discussed. We finally consider the continuous limit of discrete motion of discrete plane curves described by the discrete potential modified KdV equation to motion of smooth plane curves characterized by the potential modified KdV equation

日本维持性血液透析患者蛋白质能量消耗的患病率和诊断标准评估

Background and Objectives: The International Society of Renal Nutrition and Metabolism (ISRNM) has recently recommended the use of the term “protein-energy wasting” (PEW). PEW is a state of malnutrition with decreased body stores of protein and energy fuel in hemodialysis patients and is known as a risk factor for morbidity and mortality. We examined the prevalence of PEW and the characteristics of PEW patients in a hemodialysis center in Japan. Methods and Study Design: Fifty-nine outpatients undergoing maintenance hemodialysis at Iga City General Hospital were evaluated. We observed their biochemical data, body composition, dietary intake, and the number of steps prospectively. PEW was defined according to ISRNM criteria. Results: Nine patients (15% of total) were diagnosed as having PEW. Among indicators of PEW criteria, the relevance ratios of “reduced muscle mass” and “unintentional low dietary energy intake” were significantly higher in PEW than in non-PEW. The number of steps was lower, and serum levels of glucose and C-reactive protein were higher in PEW. Conclusion: About 15% of Japanese hemodialysis patients are estimated to have PEW. Our results suggested that major contributing factors to PEW were reduced muscle mass, unintentional low dietary energy intake, lower amount of exercise, insulin resistance, and chronic inflammation.背景与目的：国际肾营养与代谢协会（ISRNM）最近推荐使用术语“蛋白质能量消耗（PEW）”。PEW 是血液透析患者体内蛋白质和能量储存减少的一种营养不良状态，并且被认为是患病率和死亡率的危险因素。我们在日本的一个血液透析中心研究了PEW 的患病率和PEW 患者的特征。方法与研究设计：我们评估了58 名在伊贺市综合医院做维持性血液透析的门诊患者，并观察了他们的生化数据、体成分、膳食摄入量和行走的步数。根据ISRNM 标准诊断PEW。结果：9 名（占总数的15%）患者被诊断为PEW。在PEW 诊断标准指标中，PEW 患者“肌肉量减少”和“无意识的低膳食能量摄入”的比例高于非PEW 患者。PEW 患者中行走的步数较低，而血清葡萄糖和C-反应蛋白水平较高。结论：约有15%的日本血液透析患者患有PEW。我们的研究结果表明：引起PEW 的主要因素是肌肉量减少、无意识的低膳食能量摄入、运动量低、胰岛素抵抗和慢性炎症

Nocapyrones: α- and γ-Pyrones from a Marine-Derived Nocardiopsis sp.

One new α-pyrone (nocapyrone R (1)), and three known γ-pyrones (nocapyrones B, H and L (2–4)) were isolated from the culture extract of a Nocardiopsis strain collected from marine sediment. Structures of these compounds were determined on the basis of spectroscopic data including NMR and MS. γ-Pyrones 2–4 were found to induce adiponectin production in murine ST-13 preadipocyte cells but the α-pyrone 1 had no activity. The absolute configuration of the anteiso-methyl branching in 4 was determined by HPLC comparison of a degraded product of 4 with standard samples as a 2:3 enantiomeric mixture of (R)- and (S)-isomers

Impact of phase angle on postoperative prognosis

Objective Phase angle (PhA), by bioelectrical impedance analysis, has been used in patients with several diseases; however, its prognostic value in patients with gastrointestinal and hepatobiliary–pancreatic (HBP) cancer is unclear. The present study aimed to investigate the impact of PhA on postoperative short-term outcomes and long-term survival in these patients. Research Methods & Procedures This retrospective study reviewed data of 501 patients with gastrointestinal and HBP cancers who underwent first resection surgery and divided the data into the following groups according to the preoperative PhA quartile values by sex: high-PhA group with the highest quartile (Q4), normal-PhA group with middle quartiles (Q3 and Q2), and low-PhA group with the lowest quartile (Q1). Preoperative nutritional statuses, postoperative short-term outcomes during hospitalization, and 5-year survival between three groups were compared. Cox proportional hazard models were used to evaluate the prognostic effect of PhA. Results PhA positively correlated with body weight, skeletal muscle mass, and handgrip strength, and negatively correlated with age and C-reactive protein levels. The low-PhA group showed a high prevalence of malnutrition (48%) than normal-PhA (25%), and high-PhA (9%) (P < 0.001). The incidence of postoperative severe complications was 10% in all patients [14% in low-PhA, 12% in normal-PhA, and 4% in high-PhA (P = 0.018)]. The incidence of prolonged postoperative high care unit or/and intensive care unit stays was 8% in all patients [16% in low-PhA, 8% in normal-PhA, and 2% in high-PhA (P < 0.001)]. The 5-year survival rate was 74% in all patients [68% in low-PhA, 74% in normal-PhA, and 79% in high-PhA (P < 0.001)]. The multivariate analysis demonstrated that a low-PhA group was an independent risk factor for mortality (hazard ratio, 1.99; 95% confidence interval 1.05–3.90; P = 0.034). Conclusion PhA is a useful short-term and long-term postoperative prognostic marker for patients with gastrointestinal and HBP cancers

Discrete Integrable Systems and Hodograph Transformations Arising from Motions of Discrete Plane Curves

We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and the short pulse equation. They are related to the modified KdV or the sine-Gordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the Euler-Lagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations.Comment: 19 page

SR-PSOX/CXCL16 plays a critical role in the progression of colonic inflammation.

Inflammatory bowel disease (IBD) is initiated and perpetuated by a dysregulated immune response to unknown environmental antigens such as luminal bacteria in genetically susceptible hosts. SR-PSOX/CXCL16, a scavenger receptor that binds phosphatidylserine and oxidised lipoprotein, has both phagocytic activity and chemotactic properties. The aim of this study was to investigate the role of SR-PSOX/CXCL16 in patients with IBD and experimental murine colitis

Malnutrition by European Society for Clinical Nutrition and Metabolism criteria predicts prognosis in patients with gastrointestinal and hepatobiliary–pancreatic cancer

Background & Aims: The European Society for Clinical Nutrition and Metabolism (ESPEN) proposed the ESPEN diagnostic criteria (EDC) for malnutrition in 2015. There is no report on the association between the EDC and prognosis in patients with gastrointestinal (GI) and hepatobiliary–pancreatic (HBP) cancer. This study aimed to (1) determine the prevalence of EDC malnutrition, (2) investigate the validity of the EDC as a nutritional and prognostic indicator, and (3) examine which components of the EDC are most related to long-term prognosis in patients with GI and HBP cancers. Methods: A total of 634 patients with primary GI and HBP cancers who underwent their first resection surgery between July 2014 and March 2018 were retrospectively recruited. According to the EDC, patients were divided into malnourished and non-malnourished groups. Clinical parameters and survival between these two groups were compared. The prognostic effects of the EDC and the EDC components were analyzed using Cox proportional hazard models. Results: The prevalence of EDC malnutrition was 22%. Anthropometric data and biochemical data were associated with EDC malnutrition. The 5-year survival rate was lower in the malnourished group (72%) than in the non-malnourished group (73%; P = 0.007). The multivariate analysis demonstrated that the malnourished group was an independent risk factor for mortality (hazard ratio = 1.70 in the malnourished group; 95% confidence interval 1.08–2.63; P = 0.024). Among EDC components, body mass index (BMI) of <18.5 kg/m2 was an independent poor prognostic factor. Conclusions: EDC malnutrition is associated with poor postoperative long-term prognosis. Among the EDC components, BMI of <18.5 kg/m2 is most associated with prognosis in patients with preoperative GI and HBP cancers