Results 51 to 60 of about 733,513 (333)
Symmetric solutions of the singular minimal surface equation [PDF]
Ulrich Dierkes, Nico Groh
openalex +1 more source
Self-improving property of the fast diffusion equation
We show that the gradient of the $m$-power of a solution to a singular parabolic equation of porous medium-type (also known as fast diffusion equation), satisfies a reverse H\"older inequality in suitable intrinsic cylinders.
Gianazza, Ugo, Schwarzacher, Sebastian
core +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Positive Solutions of Singular Integral Equations
The nonlinear singular integral equation \[ y(t)= h(t)+ \int^T_0 K(t,s)f \bigl(y(s)\bigr)ds,\;t\in\langle 0,T\rangle,\;T\in(0,+ \infty \rangle \] is considered. The Schauder fixed point theorem \((T< \infty)\) and the Schauder-Tikhonov fixed point theorem \((T=+ \infty)\) are used to establish the existence of continuous, positive solution of the ...
Meehan, Maria, O'Regan, Donal
openaire +3 more sources
This study investigated how PYCR1 inhibition in bone marrow stromal cells (BMSCs) indirectly affects multiple myeloma (MM) cell metabolism and viability. Culturing MM cells in conditioned medium from PYCR1‐silenced BMSCs impaired oxidative phosphorylation and increased sensitivity to bortezomib.
Inge Oudaert +13 more
wiley +1 more source
Periodic Solutions Bifurcating From a Curve of Singularity of the Jerk System
We investigate a periodic solution which bifurcates from a curve of the singularity of the jerk system in .More precisely, we give the explicit states for the existence of a periodic solution of the jerk system with a nonisolated singular point, where ...
Niazy Hady Hussein
doaj +3 more sources
Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian
We obtain a classification result for positive radially symmetric solutions of the semilinear equation $$ -mathop{m div}(ilde a(|x|)abla u)=ilde b(|x|)|u|^{delta-1}u, $$ on a punctured ball.
Marta Garcia-Huidobro
doaj
Gevrey expansions of hypergeometric integrals II
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the ...
Castro-Jiménez, Francisco-Jesús +2 more
core +1 more source
Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser +14 more
wiley +1 more source
A synthetic benzoxazine dimer derivative targets c‐Myc to inhibit colorectal cancer progression
Benzoxazine dimer derivatives bind to the bHLH‐LZ region of c‐Myc, disrupting c‐Myc/MAX complexes, which are evaluated from SAR analysis. This increases ubiquitination and reduces cellular c‐Myc. Impairing DNA repair mechanisms is shown through proteomic analysis.
Nicharat Sriratanasak +8 more
wiley +1 more source

