Results 91 to 100 of about 1,396,823 (294)
Multiplicative maps on generalized \(n\)-matrix rings
Let \(\mathfrak{R}\) and \(\mathfrak{R}'\) be two associative rings (not necessarily with identity elements). A bijective map \(\varphi\) of \(\mathfrak{R}\) onto \(\mathfrak{R}'\) is called an \textit{\(m\)-multiplicative isomorphism} if {\(\varphi (x_ ...
Aisha Jabeen, Bruno L. M. Ferreira
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M-matrix characterizations.I—nonsingular M-matrices
AbstractThe purpose of this survey is to classify systematically a widely ranging list of characterizations of nonsingular M-matrices from the economics and mathematics literatures. These characterizations are grouped together in terms of their relations to the properties of (1) positivity of principal minors, (2) inverse-positivity and splittings, (3)
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This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain+3 more
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On a bound for the Hadamard product of an M-matrix and its inverse
AbstractWe give a sharp lower bound for the smallest real eigenvalue q(A∘A−1 of the Hadamard product A∘A−1 of an M-matrix A and its inverse A−1 and thus answer positively a conjecture due to Fiedler and Markham.
Li Ching, Chen Ji-Cheng
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Inhibitor of DNA binding‐1 is a key regulator of cancer cell vasculogenic mimicry
Elevated expression of transcriptional regulator inhibitor of DNA binding 1 (ID1) promoted cancer cell‐mediated vasculogenic mimicry (VM) through regulation of pro‐angiogenic and pro‐cancerous genes (e.g. VE‐cadherin (CDH5), TIE2, MMP9, DKK1). Higher ID1 expression also increased metastases to the lung and the liver.
Emma J. Thompson+11 more
wiley +1 more source
Stability of one-step and linear multistep methods - a matrix technique approach
We investigate the stability of one-step and linear multistep methods from a new direction. Our aim is to modify the long and technical proof which is consequently omitted in almost every textbook and make it user-friendly.
Miklós Emil Mincsovics
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This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani+14 more
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Targeted protein degradation in oncology: novel therapeutic opportunity for solid tumours?
Current anticancer therapies are limited by the occurrence of resistance and undruggability of most proteins. Targeted protein degraders are novel, promising agents that trigger the selective degradation of previously undruggable proteins through the recruitment of the ubiquitin–proteasome machinery. Their mechanism of action raises exciting challenges,
Noé Herbel, Sophie Postel‐Vinay
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A sufficient condition for the existence of an M-matrix with prescribed spectrum
AbstractA real n × n matrix A is said to be an M-matrix if there exists a nonnegative matrix B with maximal eigenvalue r such that A = αI — B, where α ≥ r. In this work, we present a sufficient condition for the existence of an M-matrix with prescribed complex spectrum.
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Nuclear prothymosin α inhibits epithelial‐mesenchymal transition (EMT) in lung cancer by increasing Smad7 acetylation and competing with Smad2 for binding to SNAI1, TWIST1, and ZEB1 promoters. In early‐stage cancer, ProT suppresses TGF‐β‐induced EMT, while its loss in the nucleus in late‐stage cancer leads to enhanced EMT and poor prognosis.
Liyun Chen+12 more
wiley +1 more source