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Let X be a Banach space. An operator T on X is called a Gellar basis shift if there is a scalar sequence \(\{W_ n\}\) and a normalized basis \(\{x_ n\}\) of X such that \(Tx_ n=w_ nx_{n+1}\). In this case, we say that the basis \(\{x_ n\}\) is Gellar shiftable by T. An operator T on X is said to be a Crownover shift if T is injective, has closed range,
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Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park +6 more
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Cancer‐associated mutations in endometriosis reframe a benign disease through molecular oncology
This review aims to comprehensively analyse cancer‐associated somatic mutations (CAMs) present in endometriotic lesions, emphasizing their biological roles, spatial distribution and implications for translational applications in medicine. By contextualizing a benign state within a genomic framework, this analysis seeks to establish its value as a ...
Clarissa Mujacic +15 more
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LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
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Perturbations of the shift operator [PDF]
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PANoptosis in the pathogenesis of myelodysplastic syndromes
PANoptosis, a combination of three types of programmed cell death, is mediated by a large protein complex called a PANoptosome. In healthy bone marrow hematopoietic cells, PANoptosis is restricted by inhibitory signaling. In MDS, bone marrow cells become sensitive to the PANoptotic stimuli due to the aberrant inactivation of inhibitory signaling or ...
Rohit Thalla +4 more
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Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche +10 more
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Mechanisms and therapeutic opportunities of the ribotoxic stress response in cancer
Cancer cells' high translational demand creates opportunities to therapeutically target ribosome function. Ribosome stalling and collisions activate ZAKα and the ribotoxic stress response (RSR), which can trigger rapid, p53‐independent apoptosis in cancer.
Anastassiya Kim +7 more
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The Relation between Shift Lengths and Occupational Fatigue Dimensions in Filling Station Operators
Shift work is a common work schedule that has several inappropriate consequences, the most important of which is fatigue. The aim of this study was to invest gate the impact of the shift length on the occupatio al fatigue of operators in filling stations.
MASOUD SHAFIEE MOTLAGH +4 more
doaj
A relative of the shift operator
For a positive number \(\alpha\), define \(E_ \alpha\) by \[ E_ \alpha=\{\lambda\in \mathbb{C}:\;| \lambda-1|+|\lambda +1|\leq \alpha+\alpha^{-1}\}. \] For \(\alpha\neq 1\), \(E_ \alpha\) is a closed elliptic disc. If \(U\) is the unilateral shift on a Hilbert space \(H\), then for any complex number \(\alpha\) define \(U_ \alpha\) by \(U_ \alpha={1 ...
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