Results 111 to 120 of about 1,211,006 (289)

Singular values of generalized $λ$ functions [PDF]

arXiv, 2011
We study special values of a modular function $\Lambda$ which is one of generalized $\lambda$ functions. We show special values of $\Lambda$ at imaginary quadratic points are algebraic integers. Further we prove that $\Lambda$ and the modular invariant function generate the modular function field with respect to the modular subgroup $\Gamma_1(N)$.
arxiv  

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

Molecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker, Samantha Hasenleithner, Rupert Bartsch, Simon P. Gampenrieder, Daniel Egle, Christian F. Singer, Gabriel Rinnerthaler, Michael Hubalek, Katja Schmitz, Zsuzsanna Bago‐Horvath, Andreas Petzer, Sonja Heibl, Ellen Heitzer, Marija Balic, Michael Gnant   +14 more
wiley   +1 more source

Higher-genus Fay-like identities from meromorphic generating functions

SciPost Physics
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the geometry of the surface.
Konstantin Baune, Johannes Broedel, Egor Im, Artyom Lisitsyn, Yannis Moeckli
doaj   +1 more source

A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function [PDF]

arXiv, 2017
We have shown that in some region where the Euler integral of the first kind diverges, the Euler formula defines a generalized function. The connected of this generalized function with the Dirac delta function is found.
arxiv  

Generating functions of Jacobi and related polynomials [PDF]

, 1951
Fred Brafman
openalex   +1 more source

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

Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal [PDF]

, 1956
Leonard Gillman, Melvin Henriksen
openalex   +1 more source

Cell‐free and extracellular vesicle microRNAs with clinical utility for solid tumors

Molecular Oncology, EarlyView.
Cell‐free microRNAs (cfmiRs) are small‐RNA circulating molecules detectable in almost all body biofluids. Innovative technologies have improved the application of cfmiRs to oncology, with a focus on clinical needs for different solid tumors, but with emphasis on diagnosis, prognosis, cancer recurrence, as well as treatment monitoring.
Yoshinori Hayashi, Janelle‐Cheri Millen, Romela Irene Ramos, Jennifer A. Linehan, Timothy G. Wilson, Dave S. B. Hoon, Matias A. Bustos   +6 more
wiley   +1 more source

Generating functions of Appell form for the classical orthogonal polynomials [PDF]

, 1956
R. C. T. Smith
openalex   +1 more source

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