Results 171 to 180 of about 5,912,088 (357)
Generalizations of Banach and Kannan Fixed point theorems in b_{v}(s) metric spaces [PDF]
arXiv, 2018 Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by Mitrovic and Radenovic in 2017. In this paper, we prove Kannan fixed point theorem and generalize Banach fixed point
arxiv
Quadratic Diameter of a Metric Space and its Application to a Problem in Analysis [PDF]
, 1952 Shizuo Kakutani
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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
wiley +1 more source
The magnitude of metric spaces
Documenta Mathematica, 2013 Magnitude is a real-valued invariant of metric spaces, analogous to Euler characteristic of topological spaces and cardinality of sets. The definition of magnitude is a special case of a general categorical definition that clarifies the analogies between cardinality-like invariants in mathematics.
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arXiv, 2012 A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to dropping any of the axioms of metric space, first a new, and equivalent, axiomatization of metric space is given which is then generalized from a fresh point of view.
arxiv
FEBS Open Bio, EarlyView.The tumor microenvironment is a dynamic, multifaceted complex system of interdependent cellular, biochemical, and biophysical components. Three‐dimensional in vitro models of the tumor microenvironment enable a better understanding of these interactions and their impact on cancer progression and therapeutic resistance.
Salma T. Rafik +3 more
wiley +1 more source
Currents in metric spaces [PDF]
Acta Mathematica, 2000 AMBROSIO, Luigi, KIRCHHEIM BERND
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A fixed point theorem of the alternative, for contractions on a generalized complete metric space [PDF]
, 1968 J. B. Díaz, Beatriz Margolis
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FEBS Open Bio, EarlyView.We generated and characterized clear cell renal cell carcinoma models using the patient‐derived RCC243 cell line—including cell culture, orthotopic, and metastatic tumors—via single‐cell RNA‐sequencing for comparisons between models and patient tumor datasets.
Richard Huang +9 more
wiley +1 more source
FEBS Open Bio, EarlyView.Stem cell‐based embryo models (SCBEMs) are valuable to study early developmental milestones. Matrigel, a basement membrane matrix, is a critical substrate used in various SCBEM protocols, but its role in driving stem cell lineage commitment is not clearly defined.
Atoosa Amel +3 more
wiley +1 more source