Results 101 to 110 of about 654,066 (314)

Nonequality of dimensions for metric spaces [PDF]

Transactions of the American Mathematical Society, 1968
and Ind (S) = n if Ind (S)^n but Ind (S)Sn-l is not true. Covering dimension (=Lebesgue covering dimension), denoted by dim such that dim (S) = 1 if S is empty, dim (S) S n if every finite open cover of S has a finite open refining cover of order ^n+1, that is, no point of S belongs to more than n -I-1 members of the refinement, and dim (S)=n if dim (S)
openaire   +2 more sources

Neutrophil deficiency increases T cell numbers at the site of tissue injury in mice

FEBS Letters, EarlyView.
In wild‐type mice, injury or acute inflammation induces neutrophil influx followed by macrophage accumulation. Mcl1ΔMyelo (neutrophil‐deficient) mice lack neutrophils, and in response to muscle injury show fewer macrophages and exhibit strikingly elevated T‐cell numbers, primarily non‐conventional “double‐negative” (DN) αβ and γδ T cells.
Hajnalka Halász, Albert Bálint Papp, Lukács Sándor Lesinszki, Attila Mócsai, Tamás Varga, László Nagy, Péter Gogolák   +6 more
wiley   +1 more source

Metric dimension of dual polar graphs

, 2017
A resolving set for a graph $\Gamma$ is a collection of vertices $S$, chosen so that for each vertex $v$, the list of distances from $v$ to the members of $S$ uniquely specifies $v$.
Bailey, Robert F., Spiga, Pablo
core  

Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes

FEBS Letters, EarlyView.
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley   +1 more source

The metric dimension of circulant graphs [PDF]

Opuscula Mathematica
A pair of vertices \(x\) and \(y\) in a graph \(G\) are said to be resolved by a vertex \(w\) if the distance from \(x\) to \(w\) is not equal to the distance from \(y\) to \(w\).
Tapendra BC, Shonda Dueck
doaj   +1 more source

Dimension of the Boundary in Different Metrics

MATHEMATICA SCANDINAVICA, 2013
We consider metrics on Euclidean domains $\Omega\subset\mathbf{R}^n$ that are induced by continuous densities $\rho\colon\Omega\rightarrow(0,\infty)$ and study the Hausdorff and packing dimensions of the boundary of $\Omega$ with respect to these metrics.
Ville Suomala, Riku Klén
openaire   +4 more sources

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Resolvability in Hypergraphs

, 2018
This article emphasizes an extension of the study of metric and par- tition dimension to hypergraphs. We give a sharp lower bounds for the metric and partition dimension of hypergraphs in general and give exact values under specified conditions.eral and ...
Haider, Azeem, Javaid, Imran, Mehtab, Sadaf, Salman, Muhammad   +3 more
core  

Escape from TGF‐β‐induced senescence promotes aggressive hallmarks in epithelial hepatocellular carcinoma cells

Molecular Oncology, EarlyView.
Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu, Dilara Demirci, Sude Eris, Bengisu Dayanc, Ece Cakiroglu, Merve Basol, Merve Uysal, Gulcin Cakan‐Akdogan, Fang Liu, Mehmet Ozturk, Gökhan Karakülah, Serif Senturk   +11 more
wiley   +1 more source

Vertex and edge resolvability of some drug structures

Results in Chemistry
Distance-based parameters are crucial in studying drug structures as they help in uniquely identifying and characterizing the molecular structure through the analysis of graph representations, thereby aiding in the understanding of molecular properties ...
Ayesha Andalib Kiran, Hani Shaker, Muhammad Faisal Nadeem, Bahreselam Sielu Abraha   +3 more
doaj   +1 more source