Results 111 to 120 of about 218,478 (262)

Nonlinear equations of evolution [PDF]

Pacific Journal of Mathematics, 1971
openaire   +2 more sources

Remarks on Nonlinear Evolution Equations

Journal of Mathematical Analysis and Applications, 1996
In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
openaire   +2 more sources

ZW4864‐mediated inhibition of the β‐catenin/BCL9/BCL9L complex reveals therapeutic potential in bladder cancer

Molecular Oncology, EarlyView.
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi, Mandy Berndt‐Paetz, Eileen Lerner, Gregoire Najjar, Anca Azoitei, Krishna Pal Singh, Shailendra Kumar Gupta, Olaf Wolkenhauer, Cagatay Günes, Otmar Huber, Marc‐Oliver Grimm, Daniel Steinbach   +11 more
wiley   +1 more source

Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach

Open Mathematics, 2011
Ćwiszewski Aleksander
doaj   +1 more source

Astrocyte heterogeneity in brain metastases

Molecular Oncology, EarlyView.
Astrocytes emerge as pivotal regulators of metastatic colonization, survival, immune remodeling, and therapy response associated with an increasing heterogeneity that requires spatially and longitudinally resolved approaches to uncover regulatory programs and guide context‐specific therapies.
Carolina Hernández‐Oliver, Neibla Priego, Manuel Valiente   +2 more
wiley   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

Molecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach, Gizem Abaci, Tom Huberty, Axel Lechner, Lukas Käsmann, Jens Ricke, Sophia Stöcklein, Martin Canis, Philipp Baumeister, Marianna Alunni‐Fabbroni   +9 more
wiley   +1 more source

Establishing an assay to evaluate d‐amino acid oxidase enzyme kinetics and inhibition using WST‐8 redox dye

FEBS Open Bio, EarlyView.
This study investigated a novel WST‐8‐based assay for evaluating d‐Amino acid oxidase (DAO) inhibitors. We confirmed its effectiveness using known inhibitors and found that uremic toxins possess relatively weak inhibitory activity compared to existing drugs.
Kahoko Miyake, Yuki Enoki, Yuka Nakazawa, Kazuaki Taguchi, Kazuaki Matsumoto   +4 more
wiley   +1 more source

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

YlmG1 is localized exclusively to the chloroplast envelope membrane and is involved in preprotein translocation in Arabidopsis thaliana

FEBS Open Bio, EarlyView.
Cytosolically synthesized chloroplast preproteins are translocated across the outer and inner envelope membranes through translocons called TOC and TIC, respectively. In green algae and plants, the TIC core is composed of essential membrane proteins, Tic12, Tic20, and Tic214.
Mengyi Li, Xueyang Zhao, Masato Nakai
wiley   +1 more source

Simulating the non-Hermitian dynamics of financial option pricing with quantum computers

Scientific Reports
The Schrödinger equation describes how quantum states evolve according to the Hamiltonian of the system. For physical systems, we have it that the Hamiltonian must be a Hermitian operator to ensure unitary dynamics.
Swagat Kumar, Colin Michael Wilmott
doaj   +1 more source