Results 61 to 70 of about 3,919,417 (298)
Global Weak Solutions to a Sixth Order Cahn--Hilliard Type Equation
We study a sixth order Cahn--Hilliard type equation that arises as a model for the faceting of a growing surface. We show existence of global-in-time weak solutions in two space dimensions, assuming periodic boundary conditions.
Rybka, Piotr +2 more
core +1 more source
Discerning protein pools by selective staining with self‐labeling tags
Cell surface proteins have an intra‐ and extracellular pool. Combining genetic fusion to self‐labeling tags that can be addressed with small molecule fluorophores allows separating these pools. We highlight recent developments and techniques for state‐of‐the‐art interrogation of cell surface proteins in the complex tissue setting.
Kati Fischermanns, Johannes Broichhagen
wiley +1 more source
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source
On a nonlinear degenerate evolution equation with strong damping
In this paper we consider the nonlinear degenerate evolution equation with strong damping,(*) {K(x,t)utt−Δu−Δut+F(u)=0 in Q=Ω×]0,T[u(x,0)=u0, (ku′)(x,0)=0 in Ωu(x,t)=0 on ∑=Γ×]0,T[where K is a function with K(x,t)≥0, K(x,0)=0 ...
Jorge Ferreira +1 more
doaj +1 more source
We study here Dirichlet boundary value problem for a quasi-linear elliptic equation with anisotropic p-Laplace operator in its principle part and L^1-control in coefficient of the low-order term.
Peter I. Kogut, Olha P. Kupenko
doaj +1 more source
Dimensionalities of weak solutions in hydrogenic systems [PDF]
A close inspection on the 3D hydrogen atom Hamiltonian revealed formal eigenvectors often discarded in the literature. Although not in its domain, such eigenvectors belong to the Hilbert space, and so their time evolution is well defined. They are then related to the 1D and 2D hydrogen atoms and it is numerically found that they have continuous ...
Lopez-Castillo, A. +1 more
openaire +2 more sources
Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley +1 more source
‘Guide and Prejudice’— How Argonautes recognize targets across domains of life
Argonaute proteins use short nucleic‐acid guides to locate and regulate specific targets across all domains of life. Despite striking diversity—from human gene silencing to bacterial immune defence—all Argonautes share a conserved three‐stage recognition logic: guide‐directed sampling, progressive target pairing with a conformational checkpoint and ...
Jack P. K. Bravo
wiley +1 more source
Using the Laplace transform technique, we investigate the generalized solutions of the third-order Cauchy-Euler equation of the form t 3 y ′ ′ ′ ( t ) + a t 2 y ′ ′ ( t ) + b y ′ ( t ) + c y ...
Seksan Jhanthanam +2 more
doaj +1 more source
On the regularity of weak solutions to $H$-systems
In this paper we prove that every weak solution to the H -surface equation is locally bounded, provided the prescribed mean curvature H satisfies a suitable ...
openaire +5 more sources

