Existence of standing waves for Schrodinger equations involving the fractional Laplacian
We study a class of fractional Schrodinger equations of the form $$ \varepsilon^{2\alpha}(-\Delta)^\alpha u+ V(x)u = f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $\varepsilon$ is a positive parameter, $0 < \alpha < 1$, $2\alpha < N$, $(-\Delta ...
Everaldo S. de Medeiros +2 more
doaj
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 +4 more
wiley +1 more source
Multiple solutions for perturbed non-local fractional Laplacian equations
In article we consider problems modeled by the non-local fractional Laplacian equation $$\displaylines{ (-\Delta)^s u=\lambda f(x,u)+\mu g(x,u) \quad\text{in } \Omega\cr u=0 \quad\text{in } \mathbb{R}^n\setminus \Omega, }$$ where $s\in (0,1)$ is ...
Massimiliano Ferrara +2 more
doaj
Screening and epitope characterization of Nidogen‐2‐specific nanobodies
Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen +9 more
wiley +1 more source
Variational Methods and Complementary Formulations in Dynamics
Katrin Schramm
doaj +1 more source
MiR‐513a promotes human erythroid differentiation by modulating c‐Jun
During early human erythropoiesis, miR‐513a promoted erythroid differentiation in primary human CD34+ hematopoietic stem‐progenitor cells and human TF‐1 erythroleukemic cells by indirectly decreasing c‐Jun and phospho‐c‐Jun expression, which are associated with increased GATA1 expression.
MinJung Kim +11 more
wiley +1 more source
Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods. [PDF]
Shao R +5 more
europepmc +1 more source
Rapid screening of staphylokinase protein variants using an unpurified cell‐free expression system
An unpurified cell‐free protein synthesis (CFPS) platform enables rapid functional screening of staphylokinase variants. Direct plasminogen‐activation assays performed in microplate format provide real‐time activity readouts, allowing rapid identification and ranking of variants with improved or reduced fibrinolytic activity without protein ...
Maria Tomková +3 more
wiley +1 more source
Mixed effect estimation in deep compartment models: Variational methods outperform first-order approximations. [PDF]
Janssen A +4 more
europepmc +1 more source
Evolutionarily divergent DUF4465 domains have a common vitamin B12‐binding function
We show that DUF4465 family proteins, widespread across bacteria from gut microbiomes, hydrothermal vents, and soil, share a common vitamin B12‐binding function. These augmented β‐jellyroll proteins bind vitamin B12 via extended loops. Our findings establish sequence‐diverse DUF4465 proteins as a widespread class of B12‐binding proteins, highlighting ...
Charlea Clarke +4 more
wiley +1 more source

