{"title":"Quasi-convex subsets in Alexandrov spaces with lower curvature bound","authors":"Xiaole Su, Hongwei Sun, Yusheng Wang","doi":"10.1007/s11464-021-0955-0","DOIUrl":"https://doi.org/10.1007/s11464-021-0955-0","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"325 1","pages":"1063 - 1082"},"PeriodicalIF":0.0,"publicationDate":"2020-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80356922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Optimal Global Estimates and Boundary Behavior for Large Solutions to the k-Hessian Equation","authors":"Haitao Wan, Yong-Guo Shi","doi":"10.1007/s11464-020-0045-8","DOIUrl":"https://doi.org/10.1007/s11464-020-0045-8","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"18 1","pages":"341 - 383"},"PeriodicalIF":0.0,"publicationDate":"2020-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87466250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alice Tompson, Brian D Nicholson, Sue Ziebland, Julie Evans, Clare Bankhead
{"title":"Quality improvements of safety-netting guidelines for cancer in UK primary care: insights from a qualitative interview study of GPs.","authors":"Alice Tompson, Brian D Nicholson, Sue Ziebland, Julie Evans, Clare Bankhead","doi":"10.3399/bjgp19X706565","DOIUrl":"10.3399/bjgp19X706565","url":null,"abstract":"<p><strong>Background: </strong>Safety netting is a diagnostic strategy that involves monitoring patients with symptoms possibly indicative of serious illness, such as cancer, until they are resolved. Optimising safety-netting practice in primary care has been proposed to improve quality of care and clinical outcomes. Introducing guidelines is a potential means to achieve this.</p><p><strong>Aim: </strong>To seek the insight of frontline GPs regarding proposed safety-netting guidelines for suspected cancer in UK primary care.</p><p><strong>Design and setting: </strong>A qualitative interview study with 25 GPs practising in Oxfordshire, UK.</p><p><strong>Method: </strong>Transcripts from semi-structured interviews were analysed thematically by a multidisciplinary research team using a mind-mapping approach.</p><p><strong>Results: </strong>GPs were supportive of initiatives to optimise safety netting. Guidelines on establishing who has responsibility for follow-up, keeping patient details up to date, and ensuring test result review is conducted by someone with knowledge of cancer guidelines were already being followed. Sharing diagnostic uncertainty and ensuring an up-to-date understanding of guidelines were only partially implemented. Neither informing patients of all (including negative) test results nor ensuring recurrent unexplained symptoms are always flagged and referred were considered feasible. The lack of detail, for example, the expected duration of symptoms, caused some concern. Overall, doubts were expressed about the feasibility of the guidelines given the time, recruitment, and resource challenges faced in UK primary care.</p><p><strong>Conclusion: </strong>GPs expressed general support for safety netting, yet were unconvinced that key elements of the guidelines were feasible, especially in the context of pressures on general practice staffing and time.</p>","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"7 1","pages":"e819-e826"},"PeriodicalIF":5.9,"publicationDate":"2019-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6833915/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74505520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal global regularity for minimal graphs over convex domains in hyperbolic space","authors":"You Li, Yan-nan Liu","doi":"10.1007/s11464-021-0963-0","DOIUrl":"https://doi.org/10.1007/s11464-021-0963-0","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"77 1","pages":"905-914"},"PeriodicalIF":0.0,"publicationDate":"2019-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89540555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Generation and Holomorphic Anomaly Equation for Equivariant Gromov—Witten Invariants of $${K_{{mathbb{P}^1} times {mathbb{P}^1}}}$$","authors":"Xin Wang","doi":"10.1007/s11464-021-0225-1","DOIUrl":"https://doi.org/10.1007/s11464-021-0225-1","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85400213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation of Beta-Jacobi Ensembles by Beta-Laguerre Ensembles","authors":"Yutao Ma, Xinmei Shen","doi":"10.1007/s11464-020-0018-y","DOIUrl":"https://doi.org/10.1007/s11464-020-0018-y","url":null,"abstract":"","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"20 1","pages":"225 - 252"},"PeriodicalIF":0.0,"publicationDate":"2018-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90441414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A nonparametric regression method for multiple longitudinal phenotypes using multivariate adaptive splines.","authors":"Wensheng Zhu, Heping Zhang","doi":"10.1007/s11464-012-0256-8","DOIUrl":"10.1007/s11464-012-0256-8","url":null,"abstract":"<p><p>In genetic studies of complex diseases, particularly mental illnesses, and behavior disorders, two distinct characteristics have emerged in some data sets. First, genetic data sets are collected with a large number of phenotypes that are potentially related to the complex disease under study. Second, each phenotype is collected from the same subject repeatedly over time. In this study, we present a nonparametric regression approach to study multivariate and time-repeated phenotypes together by using the technique of the multivariate adaptive regression splines for analysis of longitudinal data (MASAL), which makes it possible to identify genes, gene-gene and gene-environment, including time, interactions associated with the phenotypes of interest. Furthermore, we propose a permutation test to assess the associations between the phenotypes and selected markers. Through simulation, we demonstrate that our proposed approach has advantages over the existing methods that examine each longitudinal phenotype separately or analyze the summarized values of phenotypes by compressing them into one-time-point phenotypes. Application of the proposed method to the Framingham Heart Study illustrates that the use of multivariate longitudinal phenotypes enhanced the significance of the association test.</p>","PeriodicalId":50429,"journal":{"name":"Frontiers of Mathematics in China","volume":"8 3","pages":"731-743"},"PeriodicalIF":0.0,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4193387/pdf/nihms423886.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"32742651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}