Results 121 to 130 of about 12,501,815 (346)
Limited operators and differentiability
We characterize the limited operators by differentiability of convex continuous functions. Given Banach spaces $Y$ and $X$ and a linear continuous operator $T: Y \longrightarrow X$, we prove that $T$ is a limited operator if and only if, for every convex
Bachir, Mohammed
core +1 more source
Tumor microenvironment drives cancer formation and progression. We analyzed the role of human cancer‐associated adipocytes from patients with renal cell carcinoma (RCC) stratified as lean, overweight, or obese. RNA‐seq demonstrated that, among the most altered genes involved in the tumor–stroma crosstalk, are ADAM12 and CYP1B1, which were proven to be ...
Sepehr Torabinejad+13 more
wiley +1 more source
Error Bounds for Fractional Integral Inequalities with Applications
Fractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite–Hadamard, and Simpson’s type estimates by employing a differentiable ...
Nouf Abdulrahman Alqahtani+4 more
doaj +1 more source
Poincar{é} and Sobolev inequalities for differential forms in Heisenberg groups [PDF]
Poincar{\'e} and Sobolev inequalities for differential forms on Heisenberg balls, involving Rumin's differentials, are given. Furthermore, a global homotopy of Rumin's complex which improves differentiability of Rumin forms is provided on any bounded geometry contact manifold.
arxiv
Patient‐derived xenografts (PDXs) can be improved by implantation of a humanized niche. We tested different biomaterials and approaches, and demonstrate that the combination of an injectable biomaterial for scaffold creation plus an intravenous route for acute myeloid leukemia (AML) xenotransplantation provide the most convenient and robust approach to
Daniel Busa+13 more
wiley +1 more source
Transportation Cost Inequalities for Neutral Functional SDEs [PDF]
A class of functional differential equations are investigated. Using the Girsanov-transformation argument we establish the quadratic transportation cost inequalities for a class of finite-dimensional neutral functional stochastic differential equations and infinite-dimensional neutral functional stochastic partial differential equations under different
arxiv
Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu+7 more
wiley +1 more source
On the structure of universal differentiability sets [PDF]
We prove that universal differentiability sets in Euclidean spaces possess distinctive structural properties. Namely, we show that any universal differentiability set contains a `kernel' in which the points of differentiability of each Lipschitz function are dense.
arxiv
CD226+CD8+ T cells express elevated levels of RUNX2, exhibit higher proliferation capacity, cytokines and cytolytic molecules expression, and migratory capacity. In contrast, CD226−CD8+ T cells display an exhausted phenotype associated with the increased expression of co‐inhibitory receptors and impaired effector functions.
Maryam Rezaeifar+4 more
wiley +1 more source
Generalized Seikkala Differentiability and its Application to Fuzzy initial value problem [PDF]
This paper proposes a new generalized Seikkala derivative (gS-derivative) of a fuzzy-valued function. We see that, there are many elementary fuzzy-valued functions which occur frequently as solution of fuzzy differential equation, are not Seikkala differentiable but they are generalized Seikkala differentiable.
arxiv