Results 81 to 90 of about 12,070,159 (320)
Coding Parking Functions by Pairs of Permutations [PDF]
The Electronic Journal of Combinatorics, 2003 We introduce a new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length $n$ and the set of parking functions of length $n$. For all $u$ and $v=0,1,2,3$ and all $n\le 7$ we describe in terms of admissible pairs the dimensions of the bi-graded components $h_{u,v ...
Yurii Burman, Michael Shapiro 0004
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Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Journal of Combinatorial Theory, Series A, 1975 AbstractA large class of one-to-one correspondences is given between acyclic and parking functions, generalizing a previous construction given by Foata and Riordan.
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Orientations, Semiorders, Arrangements, and Parking Functions [PDF]
The Electronic Journal of Combinatorics, 2012 It is known that the Pak-Stanley labeling of the Shi hyperplane arrangement provides a bijection between the regions of the arrangement and parking functions. For any graph $G$, we define the $G$-semiorder arrangement and show that the Pak-Stanley labeling of its regions produces all $G$-parking functions.
Sam Hopkins 0002, David Perkinson
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Parking Functions: From Combinatorics to Probability
Methodology and Computing in Applied Probability, 2022 Abstract Suppose that m drivers each choose a preferred parking space in a linear car park with n spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If all drivers park successfully, the sequence of choices is called a parking function.
Kenyon, Richard, Yin, Mei
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A Parking Function Setting for Nabla Images of Schur Functions [PDF]
, 2015 Jim Haglund, Jennifer Morse, and Mike Zabrocki have published papers introducing symmetric function operators, C operator and B operator, and their combinatorial interpretations and identities. Their compositional refinement of the Shuffle Conjecture can
Kim, Yeonkyung
core
Molecular Oncology, EarlyView.Combining osimertinib with the STING agonist ADU‐S100 activates innate and adaptive immunity to overcome the non‐inflamed microenvironment of Egfr‐mutant lung cancer. This combination increases NK and CD8+ T‐cell infiltration, associated with activation of the STING‐IRF3 pathway and local immunogenic cell death.
Jun Nishimura +19 more
wiley +1 more source
Finding novel vulnerabilities of hypomorphic BRCA1 alleles
Molecular Oncology, EarlyView.Synthetic lethality screens performed to identify novel vulnerabilities often model complete gene loss, thereby overlooking patient‐derived hypomorphic mutations. In this study, we have performed genome‐wide CRISPR screens on BRCA1 hypomorphic mutations, showing BRCA1I26A behaves like wild‐type, while BRCA1R1699Q mimics deficiency. Furthermore, we have
Anne Schreuder +10 more
wiley +1 more source
Ordered Forests and Parking Functions [PDF]
International Mathematics Research Notices, 2012 22 pages, revised ...
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Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source