Results 41 to 50 of about 38,270 (230)

Extremal Betti numbers of some classes of binomial edge ideals [PDF]

, 2013
Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_{G}$ and its initial ideal with respect to the lexicographic order have the same extremal Betti ...
Dokuyucu, Ahmet
core  

Minimal systems of binomial generators and the indispensable complex of a toric ideal

, 2006
Let $A=\{{\bf a}_1,...,{\bf a}_m\} \subset \mathbb{Z}^n$ be a vector configuration and $I_A \subset K[x_1,...,x_m]$ its corresponding toric ideal. The paper consists of two parts.
Anargyros Katsabekis, Apostolos Thoma, Communicated Bernd Ulrich, Hara Charalambous   +3 more
core   +4 more sources

IGF‐1 Deficiency Serves as an Integrated Biomarker Pathogenic Driver and Predictor in Poor Ovarian Response

Advanced Science, EarlyView.
IGF‐1 deficiency underlies poor ovarian response (POR), as reduced levels in follicular fluid and granulosa cells impair antral follicle formation and compromise reproductive outcomes. Including IGF‐1 as a biomarker significantly enhances the accuracy of models predicting both PORrisk and pregnancy success.
Zhu Hu, Yuanyuan Yu, Guanyou Huang, Jinnan Li, Chao Yang, Aizhuan Long, Jia Tang, Tengxiang Chen, Shuyun Zhao, Tuo Zhang   +9 more
wiley   +1 more source

Single‐Cell Mitochondrial Lineage Tracing Decodes Fate Decision and Spatial Clonal Architecture in Human Hematopoietic Organoids

Advanced Science, EarlyView.
This study repurposes mitochondrial DNA mutations as endogenous barcodes for lineage tracing in human pluripotent stem cell‐derived organoids. Integrated with transcriptomic and spatial data, it reveals NOTCH‐mediated stromal‐progenitor crosstalk orchestrates clonal dynamics and spatial zonation during early hematopoietic development, offering a non ...
Yan Xue, Junhao Su, Yiming Chao, Lu Liu, Xinyi Lin, Yang Xiang, Mun Kay Ho, Zezhuo Su, Junyi Chen, Zhuojuan Luo, Chengqi Lin, Ruibang Luo, Theo Aurich, Jianfeng Wu, Kelvin Sin Chi Cheung, Yuanhua Huang, Joshua W. K. Ho, Ryohichi Sugimura   +17 more
wiley   +1 more source

Minimal generators of toric ideals of graphs [PDF]

, 2010
Let $I_G$ be the toric ideal of a graph $G$. We characterize in graph theoretical terms the primitive, the minimal, the indispensable and the fundamental binomials of the toric ideal $I_G$
Reyes, Enrique, Tatakis, Christos, Thoma, Apostolos   +2 more
core  

Integrating Spatial Proteogenomics in Cancer Research

Advanced Science, EarlyView.
Xx xx. ABSTRACT Background: Spatial proteogenomics marks a paradigm shift in oncology by integrating molecular analysis with spatial information from both spatial proteomics and other data modalities (e.g., spatial transcriptomics), thereby unveiling tumor heterogeneity and dynamic changes in the microenvironment.
Yida Wang, Yang Wu, Feng Zhang, Parthiban Periasamy, Haiyue You, Denise Goh, Rachel Elizabeth Ann Fincham, Xin Ning, Danping Wu, Lu Liu, Ying Jiang, Zhiwen Qian, Joe Yeong, Yan Zhang   +13 more
wiley   +1 more source

SpatialESD: Spatial Ensemble Domain Detection in Spatial Transcriptomics

Advanced Science, EarlyView.
ABSTRACT Spatial transcriptomics (ST) measures gene expression while preserving spatial context within tissues. One of the key tasks in ST analysis is spatial domain detection, which remains challenging due to the complex structure of ST data and the varying performance of individual clustering methods. To address this, we propose SpatialESD, a Spatial
Hongyan Cao, Gaiqin Liu, Jingyi Xia, Runle Chen, Tong Wang, Xiaoling Yang, Ruiling Fang, Yanhong Luo, Ping Zeng, Hongmei Yu, Yanbo Zhang, Yuehua Cui   +11 more
wiley   +1 more source

Sustainability Strategies in the Cocoa‐Chocolate Value Chain: An Analysis Using Stakeholder Theory, Global Value Chain Theory, and Resource Dependence Theory

Agribusiness, EarlyView.
ABSTRACT The cocoa‐chocolate value chain faces significant environmental and social challenges, driving firms to adopt sustainability strategies ranging from individual practices to third‐party certifications. This study investigates the factors associated with these strategies by analyzing 304 cocoa‐chocolate companies using firm‐level data from the ...
Stella Marschner, Luigi Orsi, Alessandro Olper, Stefanella Stranieri   +3 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Koszulness of binomial edge ideals

, 2010
10 pages, 1 figure The title has changed in: Binomial edge ideals with quadratic Gr\"obner ...
Crupi, Marilena, Rinaldo, Giancarlo
openaire   +2 more sources