Results 81 to 90 of about 1,794,477 (278)
The method of lower and upper solutions for fourth order equations with the Navier condition
The aim of this paper is to explore the method of lower and upper solutions in order to give some existence results for equations of the form y ( 4 ) ( x ) + ( k 1 + k 2 ) y ″ ( x ) + k 1 k 2 y ( x ) = f ( x , y ( x ) ) , x ∈ ( 0 , 1 ) , $$y^{(4)}(x)+(k_{
Ruyun Ma, Jinxiang Wang, Dongliang Yan
doaj +1 more source
Loss of the miR‐214/199a cluster is associated with recurrence in ovarian cancer. Engineered small extracellular vesicles (m214‐sEVs) elevate miR‐214‐3p/miR‐199a‐5p in tumor cells, suppress β‐catenin, TLR4, and YKT6 signaling, reprogram tumor‐derived sEV cargo, reduce chemoresistance and migration, and enhance carboplatin efficacy and survival in ...
Weida Wang +12 more
wiley +1 more source
We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n) = f(n,u(n));n ∈ IN ≡ {0,...,N-1},u(0) = u(N), with f a continuous N-periodic function in its ...
Cabada Alberto +2 more
doaj +2 more sources
Scaling Estimates for Solutions and Dynamical Lower Bounds on Wavepacket Spreading
We establish quantum dynamical lower bounds for discrete one-dimensional Schr\"odinger operators in situations where, in addition to power-law upper bounds on solutions corresponding to energies in the spectrum, one also has lower bounds following a ...
Damanik, David, Tcheremchantsev, Serguei
core
Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
wiley +1 more source
Upper and Lower Solution Methods for Fully Nonlinear Boundary Value Problems
The authors prove the existence of at least one solution to the fully nonlinear boundary problem \[ x^{(iv)}(t)=f(t,x(t),x'(t),x''(t),x'''(t)),\quad ...
Ehme, Jeffrey +2 more
openaire +2 more sources
Keratin 19 (KRT19) is overexpressed in high‐grade serous ovarian cancer with high levels of Kallikrein‐related peptidases (KLK) 4–7 and is associated with poor survival. In vivo analyses demonstrate that elevated KRT19 increases peritoneal tumour burden.
Sophia Bielesch +13 more
wiley +1 more source
Existence of solutions for p(x)-Kirchhoff type problems with non-smooth potentials
We consider a class of p(x)-Kirchhoff type problem with a subdifferential term and a discontinuous perturbation. Assuming the existence of an ordered pair of appropriately defined upper and lower solutions, by the method of lower-upper solutions ...
Ziqing Yuan, Lihong Huang
doaj
We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric +10 more
wiley +1 more source
In this article, we study the existence of solutions to first order non-linear initial value problems within the field of "dynamic equations on time scales". We employ the method of upper and lower solutions and Schauder's fixed point theorem.
Atiya H. Zaidi
doaj

