Results 71 to 80 of about 2,769,215 (334)

An eigenvalue problem for the infinity-Laplacian

Electronic Journal of Differential Equations, 2013
In this work, we study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction.
Tilak Bhattacharya, Leonardo Marazzi
doaj  

Comprehensive profiling of lncRNAs and mRNAs enriched in small extracellular vesicles for early noninvasive detection of colorectal cancer: diagnostic panel assembly and extensive validation

Molecular Oncology, EarlyView.
Small extracellular vesicles are a promising source of diagnostic molecules. We conducted a comprehensive study, including transcriptome profiling and RT‐qPCR validation on large cohorts of samples. Diagnostic panels enabling sensitive detection of colorectal cancer and precancerous lesions were established. Some molecules were differentially expressed
Petra Vychytilova‐Faltejskova, Marketa Pavlikova, Lucie Pifkova, Robin Jugas, Tana Machackova, Lenka Radova, Milana Sachlova, Renata Bartosova, Tetiana Samoilenko, Zuzana Feckova, Jana Orlickova, Erika Slamova, Elleni Ponechal Michu, Dagmar Al Tukmachi, Michaela Ruckova, Martina Vodinska, Jan Kotoucek, Tina Catela Ivkovic, Marie Boudna, Lucia Bohovicova, Teodor Stanek, Jana Halamkova, Martin Svoboda, Vladimir Prochazka, Tomas Grolich, Zdenek Kala, Ondrej Slaby   +26 more
wiley   +1 more source

Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker ...
Shuxia Pan, Jie Liu
doaj   +1 more source

Comparison between flying capacitor and modular multilevel inverter [PDF]

, 2009
The paper describes the operational principle of flying capacitor and modular multilevel inverters. The detailed discussions of dc link capacitors voltage balancing methods for both inverters are given in order to enable fair comparison. The causes of dc
Adam, G.P., Anaya-Lara, O., Burt, G.M., Finney, S.J., McDonald, J.R., Williams, B.W.   +5 more
core  

N-functions and the weak comparison principle

Journal of Differential Equations, 1980
A(t) is called an N-function if A(t) = si 01(s) ds for 0 0 for t > 0, a(0) = 0, and Km,,, a(t) = +ox. (See [l, p. 2281 or [4, p. 61.) In this paper, we shall deal only with N-functions A which are twice differentiable on (0, 03) with A”(t) > 0 for t > 0; so, in particular, dA/dt = A’ = a: is strictly increasing and continuous for 0 < t < 00. Defining
openaire   +3 more sources

Olaparib synergy screen reveals Exemestane induces replication stress in triple‐negative breast cancer

Molecular Oncology, EarlyView.
Screening 166 FDA‐approved anticancer drugs identifies the aromatase inhibitor Exemestane as a synergistic partner of PARP inhibitor Olaparib in BRCA‐proficient triple‐negative breast cancer. Exemestane induces ROS‐mediated replication stress, enhancing DNA damage and apoptosis alongside Olaparib.
Nur Aininie Yusoh, Liping Su, Suet Lin Chia, Xiaohe Tian, Haslina Ahmad, Martin R. Gill   +5 more
wiley   +1 more source

Radial solutions of equations and inequalities involving the -Laplacian

Journal of Inequalities and Applications, 1997
Several problems for the differential equation are considered. For , the operator is the radially symmetric -Laplacian in . For the initial value problem with given data various uniqueness conditions and counterexamples to uniqueness are given.
Reichel Wolfgang, Walter Wolfgang
doaj  

Oscillation Theorems of Fourth-Order Differential Equations with a Variable Argument Using the Comparison Technique

Axioms
In this study, we establish new oscillation criteria for solutions of the fourth-order differential equation (aϕuu‴)+q(u∘h)=0, which is of a functional type with a delay.
Osama Moaaz, Wedad Albalawi, Refah Alotaibi   +2 more
doaj   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Annuloids and Δ-wings

Advanced Nonlinear Studies
We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings.
Hoffman David, Martín Francisco, White Brian   +2 more
doaj   +1 more source