Results 91 to 100 of about 3,569,062 (330)

A representation of Jacobi functions

International Journal of Mathematics and Mathematical Sciences, 1985
Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pλ(α,β)(x), −½≤α, β≤½, α+β=0, and λ≥−½. The case α=β=0
E. Y. Deeba, E. L. Koh
doaj   +1 more source

Image Enhancement via Special Functions and Its Application for Near Infrared Imaging. [PDF]

Glob Chall, 2023
Yang R, Chen L, Zhang L, Li Z, Lin Y, Wu Y.   +5 more
europepmc   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Hypergeometric Functions, How Special Are They? [PDF]

Notices of the American Mathematical Society, 2014
where a, b, c are rational parameters. By specialization of the parameters, Euler obtained the various classical functions that were around at that time. For example, taking b = c = 1 gives us Newton’s binomial series for (1 − z)−a and taking a = b = 1/2, c = 3/2 gives us arcsin(√z)/√z.
openaire   +2 more sources

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

Molecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser, Florian Krumbach, Eyleen Corrales, Geoffroy Andrieux, Christian Preisinger, Franziska Liss, Alexandra Golzmann, Melanie Boerries, Kerstin Becker, Ruth Knüchel, Stefan Garczyk, Bernhard Lüscher   +11 more
wiley   +1 more source

A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady-Kaabar Fractional Derivative. [PDF]

Comput Math Methods Med, 2022
Abu-Shady M, Kaabar MKA.
europepmc   +1 more source

Multi‐omic characterization of consensus molecular subtype 1 (CMS1) colorectal cancer with dampened immune response improves precision medicine

Molecular Oncology, EarlyView.
This study highlights the importance of multi‐omic analyses in characterizing colorectal cancers. Indeed, our analysis revealed a rare CMS1 exhibiting dampened immune activation, including reduced PD‐1 expression, moderate CD8+ T‐cell infiltration, and suppressed JAK/STAT pathway.
Livia Concetti, Manuel Scimeca, Julia Bischof, Jonathan Woodsmith, Massimiliano Agostini, Cristina Fiorani, Yufang Shi, Eleonora Candi, Gerry Melino, Alessandro Mauriello, Giuseppe S. Sica   +10 more
wiley   +1 more source

Logic Analysis of Arrhythmia Triggered by Pacemaker Special Functions - An Educational Presentation. [PDF]

Braz J Cardiovasc Surg, 2021
Liu Y, Yuan X.
europepmc   +1 more source

Resonant equations and special functions

Journal of Computational and Applied Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Expression and DNA methylation of 20S proteasome subunits as prognostic and resistance markers in cancer

Molecular Oncology, EarlyView.
Comprehensive analysis of genomic mutations, gene expression, DNA methylation, and pathway analysis of TCGA data was carried out to define cancer types in which proteasome subunits expression is associated with worse survival. Albeit the effect of specific proteasome subunits on cellular function, the main role of the proteasome is better evaluated ...
Ruba Al‐Abdulla, Simone Venz, Ruslan Al‐Ali, Martin Wendlandt, Mandy Radefeldt, Elke Krüger   +5 more
wiley   +1 more source