Results 71 to 80 of about 1,398,064 (308)

Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator

, 1994
As for an elliptic $R$-operator which satisfies the Yang--Baxter equation, the incoming and outgoing intertwining vectors are constructed, and the vertex--IRF correspondence for the elliptic $R$-operator is obtained.
A.A. Belavin, E.T. Whittaker, G. Felder, K. Hasegawa, K. Hasegawa, M. Jimbo, M.P. Richey, R. Baxter, R.C. Gunning, V.G. Kac, V.V. Bazhanov, Y. Quano, Y. Shibukawa, Y. Shibukawa, Y. Shibukawa, Youichi Shibukawa   +15 more
core   +1 more source

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

Molecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu, Jianchao Wang, Fuqing Chen, Xuefeng Wang, Bin Lan, Ruyi Fu, Hong Wen, Fangfang Chen, Wei Hong, Tian‐Yu Tang, Ying He, Gang Chen, Jianyin Zhou, Hai‐Long Piao, Di Chen, Shu‐Yong Lin   +15 more
wiley   +1 more source

From nucleon-nucleon interaction matrix elements in momentum space to an operator representation

, 2014
Starting from the matrix elements of the nucleon-nucleon interaction in momentum space we present a method to derive an operator representation with a minimal set of operators that is required to provide an optimal description of the partial waves with ...
Feldmeier, H., Hergert, H., Neff, T., Weber, D.   +3 more
core   +1 more source

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

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

Comparison of operator mean geodesics [PDF]

Journal of Mathematical Inequalities, 2008
The space of positive invertible operators of a unital C-algebra has a natural structure of reductive homogenious manifold with a Finsler metric. Then pairs of points A and B can be joined by a natural geodesic $A \natural_t B = A ^{; ; ; 1/2}; ; ; (A^{; ; ; -1/2}; ; ; B A^{; ; ; -1/2}; ; ; )^t A^{; ; ; 1/2}; ; ; $ for $t \in [0, 1]$, where is the ...
Jun Ichi Fujii, Jadranka Mićić, Josip Pečarić, Yuki Seo   +3 more
openaire   +1 more source

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

Molecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser, Florian Krumbach, Eyleen Corrales, Geoffroy Andrieux, Christian Preisinger, Franziska Liss, Alexandra Golzmann, Melanie Boerries, Kerstin Becker, Ruth Knüchel, Stefan Garczyk, Bernhard Lüscher   +11 more
wiley   +1 more source

Use of identity of A. Hurwitz for construction of a linear positive operator of approximation

Journal of Numerical Analysis and Approximation Theory, 2002
By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\)
Dimitrie D. Stancu
doaj   +2 more sources

The Brezis–Nirenberg problem for nonlocal systems

Advances in Nonlinear Analysis, 2016
By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and ...
Faria Luiz F. O., Miyagaki Olimpio H., Pereira Fabio R., Squassina Marco, Zhang Chengxiang   +4 more
doaj   +1 more source

The geometric meaning of Zhelobenko operators [PDF]

Transformation Groups, 2013
9 pages, final ...
openaire   +4 more sources