Results 111 to 120 of about 642,101 (319)
Documenta Mathematica, 1999 In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spaces are usually not determined by the restriction of the metric they define on the state space, to the extreme points of the state space.
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Journal of Functional Analysis, 2023 This article continues the investigation of the tracial geometry of classifiable $\mathrm{C}^*$-algebras that have real rank zero and stable rank one. Using the language of optimal transport, we describe several situations in which the distance between unitary orbits of $^*$-homomorphisms into such algebras can be computed in terms of tracial data. The
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Understanding and measuring mechanical signals in the tumor stroma
FEBS Open Bio, EarlyView.This review discusses cancer‐associated fibroblast subtypes and their functions, particularly in relation to extracellular matrix production, as well as the development of 3D models to study tumor stroma mechanics in vitro. Several quantitative techniques to measure tissue mechanical properties are also described, to emphasize the diagnostic and ...
Fàtima de la Jara Ortiz +3 more
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Classification of Finite Subspaces of Metric Space Instead of Constraints on Metrics [PDF]
arXiv, 1999 A new method of metric space investigation, based on classification of its finite subspaces, is suggested. It admits to derive information on metric space properties which is encoded in metric. The method describes geometry in terms of only metric. It admits to remove constraints imposed usually on metric (the triangle axiom and nonnegativity of the ...
arxiv
HDAC4 regulates apoptosis in Acan‐CreERT2;HDAC4d/d mice with osteoarthritis by downregulating ATF4
FEBS Open Bio, EarlyView.Using the AcanCreERT2;HDAC4fl/fl genetic mouse model, we further investigated the role of histone deacetylase 4 (HDAC4) in chondrocyte apoptosis. We found that knocking down HDAC4 may be associated with chondrocyte apoptosis by upregulating the activating transcription factor 4 (ATF4)/CAAT/enhancer binding protein homologous (CHOP) signaling pathway ...
Jingrui Huang +11 more
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Point distributions in compact metric spaces [PDF]
arXiv, 2015 We consider finite point subsets (distributions) in compact metric spaces. Non-trivial bounds for sums of distances between points of distributions and for discrepancies of distributions in metric balls are given in the case of general rectifiable metric spaces.
arxiv
FEBS Open Bio, EarlyView.FAM136A depletion upregulated ROS production, reduced mitochondrial membrane potential (ΔΨ) and ATP production, and upregulated expression of PCK1, PCK2, HMGCS1, and HMGCS2. The expression of both TOMM22 and TOMM20 was also upregulated. FAM136A depletion reduced HCCS that produce holocytochrome c by combining heme to apocytochrome c, and reduced the ...
Yushi Otsuka, Masato Yano
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Related fixed point theorems on two complete and compact metric spaces
International Journal of Mathematics and Mathematical Sciences, 1998 A new related fixed point theorem on two complete metric spaces is obtained. A generalization is given for two compact metric spaces.
R. K. Namdeo +3 more
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Separability of Metric Spaces [PDF]
Transactions of the American Mathematical Society, 1970 A topological space S is separable means that some countable subset of S is dense in S. A subset T of a topological space is separable means that T has a countable subset which is dense in T. In view of the importance of this property, it is natural to inquire about conditions under which a space is separable.
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FEBS Open Bio, EarlyView.Osimertinib reduces angiogenesis and PDL1 expression in in ovo tumors, transforming them into ‘cold tumors’ with lower immune activity. Anatomopathological and transcriptomic analyses highlight its therapeutic impact on tumor biology. This study underscores osimertinib's potential to reshape the tumor microenvironment and provides insights into its ...
David Barthélémy +14 more
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