Results 31 to 40 of about 1,283,435 (290)
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains
Journal of Inequalities and Applications, 2023 This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term { − Δ p u = K ( | x | ) f ( | x | , u , | ∇ u | ) , x ∈ Ω , ∂ u ∂ n = 0 , x ∈ ∂ Ω , lim | x | → ∞ u ( x ) = 0 , $$ \textstyle ...
Yongxiang Li, Pengbo Li
doaj +1 more source
Infinity Harmonic Functions over Exterior Domains [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of Dirichlet problems for exterior domains.
Hong, Guanghao, Zhao, Yizhen
openaire +2 more sources
Structure‐forward targeting of claudins with synthetic binders
FEBS Letters, EarlyView.Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.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
Existence and nonexistence of solutions for semilinear equations on exterior domains
Electronic Journal of Differential Equations, 2016 In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in ${\mathbb R}^{N}$ where f is odd with f0 on $(\beta, \delta)$, $f\equiv 0$ for $u> \delta$, and where the ...
Joseph A. Iaia
doaj
Positive evanescent solutions of singular elliptic problems in exterior domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate the existence of positive solutions for the following class of nonlinear elliptic problems \[\operatorname{div}(a(\|x\|)\nabla u(x))+f(x,u(x))-(u(x))^{-\alpha}\|\nabla u(x)\|^{\beta}+g(\|x\|)x\cdot\nabla u(x)=0,\] where $x\in\mathbb{R}^{n}$
Aleksandra Orpel
doaj +1 more source
Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains
Mathematics, 2021 In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity.
Toshiaki Hishida
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SOLVABILITY OF QUASILINEAR MAXWELL EQUATIONS IN EXTERIOR DOMAINS
Journal of Applied Analysis & Computation, 2023 Summary: In this paper we consider some \(\mathrm{q}\)-curl-curl equations with lack of compactness. Our analysis is developed in the abstract setting of exterior domains. We first recall a decomposition of curl-free space based on \(L^r \)-Helmholtz-Weyl decomposition in exterior domains. Then by reducing the original system into a div-curl system and
Shen, Zifei, Zhang, Shuijin
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Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source