Results 71 to 80 of about 96,557 (302)
Inequalities for partial determinants of accretive block matrices
Let A = [ A i , j ] i , j = 1 m ∈ M m ( M n ) $A=[A_{i,j}]^{m}_{i,j=1}\in \mathbf{M}_{m}(\mathbf{M}_{n})$ be an accretive block matrix. We write det1 and det2 for the first and second partial determinants, respectively.
Xiaohui Fu +2 more
doaj +1 more source
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos +6 more
wiley +1 more source
Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
doaj +1 more source
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
Semi-tensor product of matrices (STP of matrices) is a new matrix product and has been successfully applied to many fields, especially to logical dynamic systems.
Jumei Yue, Yongyi Yan
doaj +1 more source
A block bidiangonal form for block companion matrices
Let \(L_ k(\lambda)=\lambda^ kI+\sum^{k-1}_{j=0}\lambda^ jA_ j\) be a matrix polynomial (so \(A_ 0,...,A_{k-1}\) are \(n\times n\) matrices with complex entries) with the companion matrix \[ C_ k = \left[\begin{matrix} 0&1&0&...&0 \\ 0&0&1&...&0 \\ \vdots&\vdots&\vdots&&\vdots \\ 0&0&0&...&1 \\ -A_ 0&-A1_ 1&&...&-A_{k-1} \end{matrix} \right].
Hernández, Vicente G. +1 more
openaire +2 more sources
Factorization of block matrices
An LU-type factorization theorem due to Elsner and to Gohberg and Goldberg is generalized to block matrices. One form of the general factorization takes the form LMU, where L is block lower-triangular, U is block upper-triangular, and M is a ...
Gohberg, Israel +2 more
core +1 more source
Loss of the miR‐214/199a cluster is associated with recurrence in ovarian cancer. Engineered small extracellular vesicles (m214‐sEVs) elevate miR‐214‐3p/miR‐199a‐5p in tumor cells, suppress β‐catenin, TLR4, and YKT6 signaling, reprogram tumor‐derived sEV cargo, reduce chemoresistance and migration, and enhance carboplatin efficacy and survival in ...
Weida Wang +12 more
wiley +1 more source
In nuclear engineering, the λ -modes associated with the neutron diffusion equation are applied to study the criticality of reactors and to develop modal methods for the transient analysis. The differential eigenvalue problem that needs to be
Amanda Carreño +5 more
doaj +1 more source

