Pub Date : 2022-06-09DOI: 10.48550/arXiv.2206.04774
M. Grabisch, C. Labreuche, Peiqi Sun
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.
{"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}
Pub Date : 2022-05-02DOI: 10.1007/s11083-022-09601-x
Max Pitz
{"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}
Pub Date : 2022-04-06DOI: 10.1007/s11083-023-09636-8
Christian Winter
{"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}
Pub Date : 2022-04-04DOI: 10.1007/s11083-023-09632-y
J. Kim, Sun Yun
{"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}
Pub Date : 2022-03-28eCollection Date: 2022-06-01DOI: 10.1093/pcmedi/pbac008
Nicole Mavingire, Petreena Campbell, Tiantian Liu, Jonathan Wooten, Salma Khan, Xin Chen, Jason Matthews, Charles Wang, Eileen Brantley
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.
转移性乳腺癌是一种无法治愈的癌症，通常是由于乳腺癌干细胞（CSC）介导的自我更新造成的。我们以前曾发现，芳基烃受体（AhR）激动剂氨基黄酮（AF）能抑制CSC生物标志物α6-整合素（ITGA6）的表达，从而破坏管腔（激素受体阳性）乳腺球（三维乳腺癌球体）的形成。在本研究中，我们对经 AF 处理的管腔 A MCF-7 乳球进行了 miRNA 序列分析，以进一步了解 AF 介导的抗癌和抗乳腺癌 CSC 活性的机制。AF能明显诱导70多种微RNA（miRNA）的表达，其中包括miR125b-2-3p，这是一种预测的干性基因调控因子。AF介导的miR125b-2-3p诱导作用在MCF-7乳腺球和细胞中得到了验证。与正常乳腺组织相比，乳腺癌组织（无论属于哪种亚型）中的miR125b-2-3p水平较低。在 MCF-7 细胞中，miR125b-2-3p 水平较低，而在 AHR100 细胞（对 AhR 激动剂无反应的 MCF-7 细胞）中，miR125b-2-3p 水平则低得多。在MCF-7细胞中，miR125b-2-3p模拟物减少了干性基因ITGA6和SOX2的表达，而抗miR125b-2-3p则增加了干性基因ITGA6和SOX2的表达。在MCF-7乳球中，miR125b-2-3p模拟物只减少了ITGA6的表达，而antagomiR125b-2-3p则增加了ITGA6、SOX2和MYC的表达。AntagomiR125b-2-3p 逆转了 AF 介导的对 ITGA6 的抑制。miR125b-2-3p模拟物减少了MCF-7细胞的增殖、迁移和乳球形成，而抗agomiR125b-2-3p则增加了MCF-7细胞的增殖和乳球形成。miR125b-2-3p模拟物也抑制了AHR100细胞的增殖、乳腺泡形成和迁移。在 MCF-7 细胞中，AF 诱导 AhR 和 miR125b2-3p 依赖性的抗增殖、抗迁移和乳腺泡破坏。我们的研究结果表明，miR125b-2-3p 是一种肿瘤抑制因子，AF 上调 miR125b-2-3p 通过至少部分依赖 AhR 的机制破坏管腔 A 型乳腺癌细胞的乳腺球。
{"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 AHR<sup>100</sup> 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}
Pub Date : 2022-03-23DOI: 10.1007/s11083-022-09598-3
G. Bosi
{"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}
Pub Date : 2022-02-03DOI: 10.1007/s11083-021-09580-5
S. Celani
{"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}
Pub Date : 2022-01-30DOI: 10.1007/s11083-021-09576-1
B. E. Tenner
{"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}
Pub Date : 2022-01-27DOI: 10.1007/s11083-021-09590-3
Keegan Dasilva Barbosa
{"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}
Pub Date : 2022-01-11DOI: 10.1007/s11083-021-09588-x
S. Bouc, J. Thévenaz
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：