Order-A Journal on the Theory of Ordered Sets and Its Applications最新文献

{"title":"An Approximation Algorithm for Random Generation of Capacities","authors":"M. Grabisch, C. Labreuche, Peiqi Sun","doi":"10.48550/arXiv.2206.04774","DOIUrl":"https://doi.org/10.48550/arXiv.2206.04774","url":null,"abstract":"Capacities on a finite set are sets functions vanishing on the empty set and being monotonic w.r.t. inclusion. Since the set of capacities is an order polytope, the problem of randomly generating capacities amounts to generating all linear extensions of the Boolean lattice. This problem is known to be intractable even as soon as $$n>5$$ n > 5 , therefore approximate methods have been proposed, most notably one based on Markov chains. Although quite accurate, this method is time consuming. In this paper, we propose the 2-layer approximation method, which generates a subset of linear extensions, eliminating those with very low probability. We show that our method has similar performance compared to the Markov chain but is much less time consuming.","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"1 1","pages":"1-26"},"PeriodicalIF":0.4,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49638728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Applications of Order Trees in Infinite Graphs","authors":"Max Pitz","doi":"10.1007/s11083-022-09601-x","DOIUrl":"https://doi.org/10.1007/s11083-022-09601-x","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"1 1","pages":"1-17"},"PeriodicalIF":0.4,"publicationDate":"2022-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42981483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Poset Ramsey Number $$R(P,Q_{n})$$. I. Complete Multipartite Posets","authors":"Christian Winter","doi":"10.1007/s11083-023-09636-8","DOIUrl":"https://doi.org/10.1007/s11083-023-09636-8","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48199290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups","authors":"J. Kim, Sun Yun","doi":"10.1007/s11083-023-09632-y","DOIUrl":"https://doi.org/10.1007/s11083-023-09632-y","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"1 1","pages":"1-16"},"PeriodicalIF":0.4,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43450824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Aminoflavone upregulates putative tumor suppressor miR-125b-2-3p to inhibit luminal A breast cancer stem cell-like properties.","authors":"Nicole Mavingire, Petreena Campbell, Tiantian Liu, Jonathan Wooten, Salma Khan, Xin Chen, Jason Matthews, Charles Wang, Eileen Brantley","doi":"10.1093/pcmedi/pbac008","DOIUrl":"10.1093/pcmedi/pbac008","url":null,"abstract":"<p><p>Metastatic breast cancer is incurable and often due to breast cancer stem cell (CSC)-mediated self-renewal. We previously determined that the aryl hydrocarbon receptor (AhR) agonist aminoflavone (AF) inhibits the expression of the CSC biomarker α6-integrin (ITGA6) to disrupt the formation of luminal (hormone receptor-positive) mammospheres (3D breast cancer spheroids). In this study, we performed miRNA-sequencing analysis of luminal A MCF-7 mammospheres treated with AF to gain further insight into the mechanism of AF-mediated anti-cancer and anti-breast CSC activity. AF significantly induced the expression of >70 microRNAs (miRNAs) including miR125b-2-3p, a predicted stemness gene regulator. AF-mediated miR125b-2-3p induction was validated in MCF-7 mammospheres and cells. miR125b-2-3p levels were low in breast cancer tissues irrespective of subtype compared to normal breast tissues. While miR125b-2-3p levels were low in MCF-7 cells, they were much lower in AHR¹⁰⁰ cells (MCF-7 cells made unresponsive to AhR agonists). The miR125b-2-3p mimic decreased, while the antagomiR125b-2-3p increased the expression of stemness genes ITGA6 and SOX2 in MCF-7 cells. In MCF-7 mammospheres, the miR125b-2-3p mimic decreased only ITGA6 expression although the antagomiR125b-2-3p increased ITGA6, SOX2 and MYC expression. AntagomiR125b-2-3p reversed AF-mediated suppression of ITGA6. The miR125b-2-3p mimic decreased proliferation, migration, and mammosphere formation while the antagomiR125b-2-3p increased proliferation and mammosphere formation in MCF-7 cells. The miR125b-2-3p mimic also inhibited proliferation, mammosphere formation, and migration in AHR100 cells. AF induced AhR- and miR125b2-3p-dependent anti-proliferation, anti-migration, and mammosphere disruption in MCF-7 cells. Our findings suggest that miR125b-2-3p is a tumor suppressor and AF upregulates miR125b-2-3p to disrupt mammospheres via mechanisms that rely at least partially on AhR in luminal A breast cancer cells.</p>","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"36 1","pages":"pbac008"},"PeriodicalIF":5.3,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9172653/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78233559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Continuous Order-Preserving Functions for All Kind of Preorders","authors":"G. Bosi","doi":"10.1007/s11083-022-09598-3","DOIUrl":"https://doi.org/10.1007/s11083-022-09598-3","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"40 1","pages":"87-97"},"PeriodicalIF":0.4,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46967809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Subordinations on Bounded Distributive Lattices","authors":"S. Celani","doi":"10.1007/s11083-021-09580-5","DOIUrl":"https://doi.org/10.1007/s11083-021-09580-5","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"40 1","pages":"1-27"},"PeriodicalIF":0.4,"publicationDate":"2022-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44067406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Interval Posets of Permutations","authors":"B. E. Tenner","doi":"10.1007/s11083-021-09576-1","DOIUrl":"https://doi.org/10.1007/s11083-021-09576-1","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"39 1","pages":"523-536"},"PeriodicalIF":0.4,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44692206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Borel Colouring Bad Rays","authors":"Keegan Dasilva Barbosa","doi":"10.1007/s11083-021-09590-3","DOIUrl":"https://doi.org/10.1007/s11083-021-09590-3","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"39 1","pages":"505-521"},"PeriodicalIF":0.4,"publicationDate":"2022-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44337992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Idempotents in the Endomorphism Algebra of a Finite Lattice","authors":"S. Bouc, J. Thévenaz","doi":"10.1007/s11083-021-09588-x","DOIUrl":"https://doi.org/10.1007/s11083-021-09588-x","url":null,"abstract":"","PeriodicalId":54667,"journal":{"name":"Order-A Journal on the Theory of Ordered Sets and Its Applications","volume":"39 1","pages":"485 - 504"},"PeriodicalIF":0.4,"publicationDate":"2022-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44736539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}