Results 101 to 110 of about 12,501,815 (346)

Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients

Molecular Oncology, EarlyView.
Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha, Steven Kao, Veronica K. Cheung, Wendy A. Cooper, Nico van Zandwijk, John E. J. Rasko, Dannel Yeo   +6 more
wiley   +1 more source

A Measure Zero UDS in the Heisenberg Group

Bruno Pini Mathematical Analysis Seminar, 2016
We show that the Heisenberg group contains a measure zero set N such that every real-valued Lipschitz function is Pansu differentiable at a point of N.
Andrea Pinamonti, Gareth Speight
doaj   +1 more source

Differentially low uniform permutations from known 4-uniform functions [PDF]

arXiv, 2019
Functions with low differential uniformity can be used in a block cipher as S-boxes since they have good resistance to differential attacks. In this paper we consider piecewise constructions for permutations with low differential uniformity. In particular, we give two constructions of differentially 6-uniform functions, modifying the Gold function and ...
arxiv  

Inverse and implicit function theorems for H-differentiable and semismooth functions

Optim. Methods Softw., 2004
In this article, we prove inverse and implicit function theorems for H-differentiable functions, thereby giving a unified treatment of such theorems for C 1-functions, PC 1-functions, and for locally Lipschitzian functions.
M. Seetharama Gowda
semanticscholar   +1 more source

KRAS and GNAS mutations in cell‐free DNA and in circulating epithelial cells in patients with intraductal papillary mucinous neoplasms—an observational pilot study

Molecular Oncology, EarlyView.
This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke, Marie Tölle, Philipp Walter, Kira Meißner, Mara Goetz, Jolanthe Kropidlowski, Andreas W. Berger, Jakob R. Izbicki, Felix Nickel, Thilo Hackert, Klaus Pantel, Harriet Wikman, Faik G. Uzunoglu   +12 more
wiley   +1 more source

Opial inequalities for a conformable ∆-fractional calculus on time scales [PDF]

Mathematica Moravica
In this paper, an Opial-type inequality is introduced on time scale for a conformal ∆-fractional differentiable function of order a, a ∈ (0, 1]. In the case where the certain weight functions are included, one generalization of the Opial inequality is ...
Mirković Tatjana, Bajić Tatjana
doaj   +1 more source

Differential Subordination for Janowski Functions with Positive Real Part [PDF]

arXiv, 2019
Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition. We exploit the first order differential subordination theory to get several sufficient conditions for function satisfying several differential subordinations to be a ...
arxiv  

Half-quadratic transportation problems

, 2017
We present a primal--dual memory efficient algorithm for solving a relaxed version of the general transportation problem. Our approach approximates the original cost function with a differentiable one that is solved as a sequence of weighted quadratic ...
Rivera, Mariano
core  

On‐treatment dynamics of circulating extracellular vesicles in the first‐line setting of patients with advanced non‐small cell lung cancer: the LEXOVE prospective study

Molecular Oncology, EarlyView.
The LEXOVE prospective study evaluated plasma cell‐free extracellular vesicle (cfEV) dynamics using Bradford assay and dynamic light scattering in metastatic non‐small cell lung cancer patients undergoing first‐line treatments, correlating a ∆cfEV < 20% with improved median progression‐free survival in responders versus non‐responders.
Valerio Gristina, Viviana Bazan, Nadia Barraco, Simona Taverna, Mauro Manno, Samuele Raccosta, Anna Paola Carreca, Marco Bono, Tancredi Didier Bazan Russo, Francesco Pepe, Pasquale Pisapia, Lorena Incorvaia, Giuseppe Badalamenti, Giancarlo Troncone, Umberto Malapelle, Daniele Santini, Antonio Russo, Antonio Galvano   +17 more
wiley   +1 more source

Characterizations of differentiability for h-convex functions in stratified groups [PDF]

arXiv, 2010
Using the notion of h-subdifferential, we characterize both first and second order differentiability of h-convex functions in stratified groups. We show that Aleksandrov's second order differentiability of h-convex functions is equivalent to a suitable differentiability of their horizontal gradient.
arxiv