345 research outputs found

    Equilibrium problems on Riemannian manifolds with applications

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    We study the equilibrium problem on general Riemannian manifolds. The results on existence of solutions and on the convex structure of the solution set are established. Our approach consists in relating the equilibrium problem to a suitable variational inequality problem on Riemannian manifolds, and is completely different from previous ones on this topic in the literature. As applications, the corresponding results for the mixed variational inequality and the Nash equilibrium are obtained. Moreover, we formulate and analyze the convergence of the proximal point algorithm for the equilibrium problem. In particular, correct proofs are provided for the results claimed in J. Math. Anal. Appl. 388, 61-77, 2012 (i.e., Theorems 3.5 and 4.9 there) regarding the existence of the mixed variational inequality and the domain of the resolvent for the equilibrium problem on Hadamard manifolds.National Natural Science Foundation of ChinaNatural Science Foundation of Guizhou Province (China)Dirección General de Enseñanza SuperiorJunta de AndalucíaNational Science Council of Taiwa

    Re-evaluation of the carcinogenic significance of hepatitis B virus integration in hepatocarcinogenesis

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    To examine the role of hepatitis B virus (HBV) integration in hepatocarcinogenesis, a systematic comparative study of both tumor and their corresponding non-tumor derived tissue has been conducted in a cohort of 60 HBV associated hepatocellular carcinoma (HCC) patients. By using Alu-polymerase chain reaction (PCR) and ligation-mediated PCR, 233 viral-host junctions mapped across all human chromosomes at random, no difference between tumor and non-tumor tissue was observed, with the exception of fragile sites (P = 0.0070). HBV insertions in close proximity to cancer related genes such as hTERT were found in this study, however overall they were rare events. No direct correlation between chromosome aberrations and the number of HBV integration events was found using a sensitive array-based comparative genomic hybridization (aCGH) assay. However, a positive correlation was observed between the status of several tumor suppressor genes (TP53, RB1, CDNK2A and TP73) and the number of chromosome aberrations (r = 0.6625, P = 0.0003). Examination of the viral genome revealed that 43% of inserts were in the preC/C region and 57% were in the HBV X gene. Strikingly, approximately 24% of the integrations examined had a breakpoint in a short 15 nt viral genome region (1820-1834 nt). As a consequence, all of the confirmed X gene insertions were C-terminal truncated, losing their growth-suppressive domain. However, the same pattern of X gene C-terminal truncation was found in both tumor and non-tumor derived samples. Furthermore, the integrated viral sequences in both groups had a similar low frequency of C1653T, T1753V and A1762T/G1764A mutations. The frequency and patterns of HBV insertions were similar between tumor and their adjacent non-tumor samples indicating that the majority of HBV DNA integration events are not associated with hepatocarcinogenesis

    Survival outcomes of autologous breast reconstruction after mastectomy: A matched case-control study

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    BackgroundDue to the lack of strong evidence-based medical evidence, the relationship between autologous breast reconstruction (ABR) after mastectomy and long-term prognosis is unclear. This study aims to explore if ABR after mastectomy is associated with the prognosis of breast cancer (BC) patients based on the data from the Surveillance, Epidemiology, and End Results (SEER) database.MethodsWe collected data for all cases diagnosed with BC who underwent or did not undergo ABR after mastectomy from 2010-2015 in the SEER database. The primary outcome of our study was overall survival (OS) and cancer specific survival (CSS). The Propensity Score-Matched (PSM) analysis was used to eliminate the effects of non-random statistics, setting the caliper as 0.0001 to balance the baseline variables within the groups. Chi-square test, Kaplan-Meier method, univariate and multivariate cox regression analysis were used to analyze the data and subgroup analysis was performed to find the subgroups of people who might benefit from ABR.ResultOf 27893 eligible patients, 11038 patients were matched. The cohort consisted of 5519 (50%) ABR patients and 5519 (50%) non-ABR patients after PSM. After PSM, on multivariate cox regression analysis, ABR still exerted a significant influence on the OS (hazard ratio (HR), 0.83, P< 0.05). However, no statistical difference was shown on CSS (HR, 0.93, P = 0.31). Kaplan-Meier survival analysis showed ABR group had better OS (P = 0.001), but similar CSS (P = 0.174) between ARB and mastectomy groups. Subgroup analysis showed that after matching, those with 50-59 years old, earlier stages of disease, without a marital partner and living in urban areas had better OS after ABR.ConclusionsABR after mastectomy was associated with better OS, but not affect CSS
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