Results 41 to 50 of about 11,464 (219)

A priori estimates for nonvariational operators modeled on Hörmander's vector fields with drift

Bruno Pini Mathematical Analysis Seminar, 2013
For a nonvariational operator structured on Hörmander's vector fields with drift, where the matrix of coffiecients is real, symmetric and uniformly positive, we prove local a priori estimates on the second order derivatives with respect to the vector ...
Marco Bramanti
doaj  

Hessian regularity in Hölder spaces for a semi-linear bi-Laplacian equation

Comptes Rendus. Mathématique
We examine a semi-linear variant of the bi-Laplacian equation in the superlinear, subquadratic setting and obtain $C^{2,\sigma }$-regularity estimates, depending on the growth regime of the nonlinearity.
Alcantara, Claudemir, Pimentel, Edgard, Urbano, José Miguel   +2 more
doaj   +1 more source

Bridging the gap: a genetically validated avian chorioallantoic membrane platform for investigation of spontaneous circulating tumor cells

Molecular Oncology, EarlyView.
We established the avian chorioallantoic membrane (CAM) assay as a scalable in vivo model for studying circulating tumor cells (CTCs). Human gastrointestinal tumors spontaneously released genetically validated CTCs that were detected across multiple platforms, demonstrating that the CAM model provides an accessible tool for investigating early cancer ...
Dennis Roth, Rui P. L. Neves, Julia Geheb, Christian Ballmeyer, Nathalie Gaßmann, Kiki C. Andree, Monica Sudarsanam, Christiane Driemel, Celine Örencik, Andrè Franken, Eslam Elmaghraby, Sven H. Loosen, Roderburg Christoph, Sebastian Schoelch, Hans Neubauer, Wolfram T. Knoefel, Nikolas H. Stoecklein, Georg Fluegen   +17 more
wiley   +1 more source

Extracellular matrix remodeling and immune reprogramming drive residual tumor progression of liver cancer after incomplete microwave ablation

Molecular Oncology, EarlyView.
Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu, Yubei He, Nikolaus Berndt, Michael Mülleder, Kathrin Textoris‐Taube, Jing Guo, Matthias Stechele, Justus Ramtke, Shraga Nahum Goldberg, Lynn Jeanette Savic   +9 more
wiley   +1 more source

Superposition operator problems of Hölder-Lipschitz spaces

Demonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
doaj   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

Optimal Regularity Properties of the Generalized Sobolev Spaces

Journal of Function Spaces and Applications, 2013
We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
doaj   +1 more source

Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies

FEBS Open Bio, EarlyView.
We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli, Mohammad Nour Alsamsam, Ugnė Bagdonaitė, Van Truc Vu, Chun‐Jen Huang, Polina Kuzhir, Mindaugas Zaremba, Aurimas Kopūstas, Marijonas Tutkus   +8 more
wiley   +1 more source

Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
doaj   +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