Results 101 to 110 of about 23,193 (253)
The role of boundedness in characterizing shannon entropy
This paper contains a characterization of Shannon's entropy measure H(p1 ,…, pn) = −∑pi log pi from the following properties: recursivity, 3-symmetry, normalization, and f is bounded on [0, 1], where f(x) = H(x, 1 − x) (boundedness). Two new techniques are presented: approximation of log N by rationals and iteration of the fundamental functional ...
openaire +3 more sources
A spatial niche composed of BTLA+B cells and CD8+T cells is enriched at the tumor boundary in non‐small cell lung cancer. Within this specialized niche, BTLA+B cells act as a dominant source of IL‐6, upregulating PD‐1 on CD8+T cells via STAT3 signaling.
Jiajuan Wu +6 more
wiley +1 more source
Bioactive phenylboronic acid–chitosan nanoparticles enable responsive silymarin delivery for post‐hepatectomy liver protection. The nanoplatform integrates antioxidant and antibacterial functions, improves hepatic recovery, and is associated with coordinated shifts in gut microbiota, metabolites, cytokines, and hepatic proteomic pathways, suggesting a ...
Jinjin Tong +9 more
wiley +1 more source
Shannon entropy H and related measures are increasingly used in molecular ecology and population genetics because (1) unlike measures based on heterozygosity or allele number, these measures weigh alleles in proportion to their population fraction, thus ...
Anne Chao +5 more
doaj +1 more source
An Intrinsic Characterization of Shannon’s and Rényi’s Entropy
All characterizations of the Shannon entropy include the so-called chain rule, a formula on a hierarchically structured probability distribution, which is based on at least two elementary distributions. We show that the chain rule can be split into two natural components, the well-known additivity of the entropy in case of cross-products and a variant ...
Martin Schlather, Carmen Ditscheid
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Closing the Loop: High‐Precision 3D Photofabrication in Living Tissues
Writing 3D microstructures inside living tissue demands more than laser access; It demands information. Hierarchical sensing captures thermal and mechanical states across pulse‐train, voxel, and structure timescales, feeding a controller that steers the laser in real time.
Amirbahador Zeynali +2 more
wiley +1 more source
Brain Network Dynamics of Local and Global Predictive Processing in Aging
Separation of concurrent whole‐brain networks in source‐reconstructed magnetoencephalography (MEG) data suggests that healthy aging reorganizes, rather than uniformly attenuates, neural responses elicited from hierarchical auditory violations. Enhanced early sensory deviance processing alongside reduced higher‐order cognitive responses suggests a large‐
Mathias Houe Andersen +9 more
wiley +1 more source
ACCE has a good alleviating effect on AFB1‐induced liver injury, and this alleviating effect is related to the PI3K‐AKT pathway regulated by ACCE and the butyrate metabolism of gut microbiota. ABSTRACT Aflatoxin B1 (AFB1) is a potent hepatotoxin commonly ingested through contaminated food. Abrus cantoniensis Hance, a traditional Chinese medicinal herb,
Hongjie Hu +12 more
wiley +1 more source
Integration of the D‐genome reshapes gene transcription, chromatin architecture, and the metabolome of hexaploid wheat, leading to enhanced adaptability to salt, UV‐B, and alkali stress. ABSTRACT The hybridization‐led integration of the D‐genome into domesticated tetraploid wheat gave rise to allohexaploid wheat, the most cultivated wheat globally ...
Yanyan Liu +23 more
wiley +1 more source
Gut Microbial Topology and Metabolic Signatures Associated With Colorectal Neoplasia
The gut microbiota organizes into two robust association patterns linked to colorectal neoplasia risk. Topological shifts in microbial networks are associated with metabolite alterations and may shape host responses during disease development. ABSTRACT Alterations of gut microbial communities impact health.
Kai Song +13 more
wiley +1 more source

