Results 121 to 130 of about 13,801,421 (357)

Function of a Matrix (pdf)

, 2013
Let a be a square matrix with complex entries and f a function holomorphic on an open subset U of the complex plane. It is well known that f can be evaluated on a if the spectrum of a is contained in U. We show that, for a fixed f, the resulting matrix depends holomorphically on a. (This is a pdf file. Tex file: link below.)
openaire   +2 more sources

Elucidating prognostic significance of purine metabolism in colorectal cancer through integrating data from transcriptomic, immunohistochemical, and single‐cell RNA sequencing analysis

Molecular Oncology, EarlyView.
Low expression of five purine metabolism‐related genes (ADSL, APRT, ADCY3, NME3, NME6) was correlated with poor survival in colorectal cancer. Immunohistochemistry analysis showed that low NME3 (early stage) and low ADSL/NME6 (late stage) levels were associated with high risk.
Sungyeon Kim, Myunghee Kang, Soyeon Jeong, Jisup Kim, Kyoung Oh Kim, Won‐Suk Lee, Jeong‐Heum Baek, Jung Ho Kim, Seungyoon Nam   +8 more
wiley   +1 more source

A New Method of Creating Technology/Function Matrix for Systematic Innovation without Expert

Journal of Technology Management & Innovation, 2012
The technology/function matrix is comprised by specific technologies and functions, and through the technology/function matrix we can known what the technologies with functions have opportunities for innovation of product or technology.
Tien-Yuan Cheng
doaj   +1 more source

On the Determination of the Many-Channel Potential Matrix and S Matrix from a Single Function [PDF]

, 1967
Joseph R. Cox
openalex   +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

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

Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function. [PDF]

Proc Math Phys Eng Sci, 2020
Adukov VM, Mishuris G, Rogosin SV.
europepmc   +1 more source

On the Matrix Renewal Function for Markov Renewal Processes [PDF]

, 1969
Julian Keilson
openalex   +1 more source

The atypical KRASQ22K mutation directs TGF‐β response towards partial epithelial‐to‐mesenchymal transition in patient‐derived colorectal cancer tumoroids

Molecular Oncology, EarlyView.
TGF‐β has a complex role in cancer, exhibiting both tumor‐suppressive and tumor‐promoting properties. Using a series of differentiated tumoroids, derived from different stages and mutational background of colorectal cancer patients, we replicate this duality of TGF‐β in vitro. Notably, the atypical but highly aggressive KRASQ22K mutation rendered early‐
Theresia Mair, Philip König, Milena Mijović, Jessica Kalla, Anil Baskan, Loan Tran, Kristina Draganić, Pedro Morata Saldaña, Carlos Uziel Pérez Malla, Janette Pfneissl, Andreas Tiefenbacher, Julijan Kabiljo, Velina S. Atanasova, Lisa Wozelka‐Oltjan, Leonhard Müllauer, Michael Bergmann, Raheleh Sheibani‐Tezerji, Gerda Egger   +17 more
wiley   +1 more source

Linear Transformations on Matrices: The Invariance of a Class of General Matrix Functions [PDF]

, 1967
E. P. Botta
openalex   +1 more source