Results 141 to 150 of about 320,316 (300)

Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the existence of multiple normalized solutions for a class of Choquard equations with a parametric perturbation −ε2Δu+V(x)u=λu+ε−α(Iα*F(u))f(u),x∈RN,∫RN∣u∣2dx=a2εN,\left\{\begin{array}{ll}-{\varepsilon }^{2}\Delta u+V\left ...
Wu Jinxia, He Xiaoming
doaj   +1 more source

Normalized solutions to Kirchhoff type equations with a critical growth nonlinearity

open access: yes
In this paper, we are concerned with normalized solutions of the Kirchhoff type equation \begin{equation*} -M\left(\int_{\R^N}|\nabla u|^2\mathrm{d} x\right)Δu = λu +f(u) \ \ \mathrm{in} \ \ \mathbb{R}^N \end{equation*} with $u \in S_c:=\left\{u \in H ...
Zhang, Jian   +2 more
core  

Interaction of HS1BP3 with cortactin modulates TKS5 localisation, cell secretion and cancer malignancy

open access: yesMolecular Oncology, EarlyView.
Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen   +9 more
wiley   +1 more source

Interpreting the effects of DNA polymerase variants at the structural level

open access: yesMolecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi   +7 more
wiley   +1 more source

Proteasome inhibitor, ixazomib prevents topoisomerase‐I degradation and reverses irinotecan resistance in colorectal cancer

open access: yesMolecular Oncology, EarlyView.
Ixazomib inhibits proteasome‐mediated degradation of topoisomerase I induced by irinotecan, thereby restoring drug sensitivity and promoting tumor cell death in colorectal cancer. Irinotecan, a topoisomerase I (topoI) inhibitor, is widely used for colorectal cancer, but resistance remains a major clinical challenge.
Yuho Ebata   +10 more
wiley   +1 more source

Normalized solutions for some quasilinear elliptic equation with critical Sobolev exponent

open access: yes, 2023
Consider the equation \begin{equation*} -\Delta_p u =\lambda |u|^{p-2}u+\mu|u|^{q-2}u+|u|^{p^\ast-2}u\ \ {\rm in}\ \R^N \end{equation*} under the normalized constraint $$\int_{ \R^N}|u|^p=c^p,$$ where $-\Delta_pu={\rm div} (|\nabla u|^{p-2}\nabla u ...
Li, Yuhua, Feng, Xiaojing
core  

DNA methylation and expression of MAPRE3 affect overall survival of early‐stage non‐small cell lung cancer patients

open access: yesMolecular Oncology, EarlyView.
Both cg12821679MAPRE3 methylation and MAPRE3 expression are significantly associated with overall survival (OS) of non‐small cell lung cancer. Meanwhile, MAPRE3 expression significantly modified the effect of smoking cessation on OS. Smoking cessation benefits OS merely for patients with high MAPRE3 expression.
Chao Chen   +14 more
wiley   +1 more source

Normalized solutions of NLS equations with mixed nonlocal nonlinearities

open access: yesAdvances in Nonlinear Analysis
We study the existence and nonexistence of normalized solutions for the nonlinear Schrödinger equation with mixed nonlocal nonlinearities: −Δu=λu+μ(Iα∗∣u∣p)∣u∣p−2u+(Iα∗∣u∣q)∣u∣q−2uinRN,∫RN∣u∣2dx=c,\left\{\begin{array}{ll}-\Delta u=\lambda u+\mu \left({I ...
Zhang Zhenyu, Sun Juntao
doaj   +1 more source

Clinical performance of the urine‐based TERT promoter AbsoluteQ Digital PCR for non‐invasive detection of bladder cancer

open access: yesMolecular Oncology, EarlyView.
A urine‐based digital PCR assay targeting two hotspot TERT promoter variants detected bladder cancer with high sensitivity and no false positives in this case–control cohort. The streamlined AbsoluteQ workflow outperformed Sanger sequencing and supports non‐invasive molecular testing for bladder cancer detection.
Anna Nykel   +12 more
wiley   +1 more source

Normalized solutions for nonlinear Schrödinger systems with critical exponents

open access: yesAdvanced Nonlinear Studies
In this paper, we consider the following nonlocal Schrödinger system−a+b∫R3|∇u1|2dxΔu1=λ1u1+μ1|u1|p1−2u1+βr1|u1|r1−2u1|u2|r2,−a+b∫R3|∇u2|2dxΔu2=λ2u2+μ2|u2|p2−2u2+βr2|u1|r1|u2|r2−2u2,∫R3|u1|2dx=c1,∫R3|u2|2dx=c2.
Hu Jiaqing, Mao Anmin
doaj   +1 more source

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