Results 51 to 60 of about 1,111,420 (338)
Axiomatic Characterizations of Information Measures
Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (
Imre Csiszár
doaj +1 more source
In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen+13 more
wiley +1 more source
Well‐being on supportive techniques in amyotrophic lateral sclerosis: from neurologists' perspective
Abstract Objective To investigate intercultural neurologists' perception of well‐being in patients with amyotrophic lateral sclerosis (ALS) using gastrostomy (PEG), non‐invasive, and/or invasive ventilation (NIV/IV) and to analyse the determinants and impact on the management of the above medical interventions (MIs).
Krzysztof Barć+7 more
wiley +1 more source
The Role of Riemann’s Zeta Function in Mathematics and Physics †,‡
In particular, Riemann’s impact on mathematics and physics alike is demonstrated using methods originating from the theory of numbers and from quantum electrodynamics, i.e., from the behavior of an electron in a prescribed external electromagnetic ...
Walter Dittrich
doaj +1 more source
A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed+2 more
doaj +1 more source
On a solution to a functional equation [PDF]
Abstract We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi function.
openaire +3 more sources
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić+31 more
wiley +1 more source
Vascular endothelial‐cadherin as a marker of endothelial injury in preclinical Alzheimer disease
Abstract Objective Endothelial dysfunction is an early and prevalent pathology in Alzheimer disease (AD). We here investigate the value of vascular endothelial‐cadherin (VEC) as a cerebrospinal fluid (CSF) marker of endothelial injury in preclinical AD.
Rawan Tarawneh+5 more
wiley +1 more source
Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam+2 more
wiley +1 more source
Harmonizing results of ataxia rating scales: mFARS, SARA, and ICARS
Abstract The ever‐increasing body of ataxia research provides opportunities for large‐scale meta‐analyses, systematic reviews, and data aggregation. Because multiple standardized scales are used to quantify ataxia severity, harmonization of these measures is necessary for quantitative data pooling. We applied the modified Friedreich Ataxia Rating Scale
Christian Rummey+5 more
wiley +1 more source