Results 51 to 60 of about 59,041 (264)
FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
Initial and boundary value problems in two and three dimensions
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
core +1 more source
Existence and asymptotic behavior of solutions to nonlinear radial p-Laplacian equations
Electronic Journal of Differential Equations, 2015 This article concerns the existence, uniqueness and boundary behavior of positive solutions to the nonlinear problem $$\displaylines{ \frac{1}{A}(A\Phi _p(u'))'+a_1(x)u^{\alpha_1}+a_2(x)u^{\alpha_2}=0, \quad \text{in } (0,1), \cr \lim_{x\to 0}A\Phi
Syrine Masmoudi, Samia Zermani
doaj
On singularities of mappings with a majorant integrable by spheres
Математичні СтудіїThe paper is devoted to the study of the boundary behavior of mappings with finite distortion, more precisely, open discrete mappings with moduli conditions similar to Poletsky inequality in the inverse direction. We study the case when some majorant in
E. O. Sevost'yanov +2 more
doaj +1 more source
Exact boundary behavior for the solutions to a class of infinity Laplace equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, by Karamata regular variation theory and the method of lower and upper solutions, we give an exact boundary behavior for the unique solution near the boundary to the singular Dirichlet problem $ -\Delta_{\infty} u=b(x)g(u), \ u>0, \ x \in \
Ling Mi
doaj +1 more source
Tau acetylation at K331 has limited impact on tau pathology in vivo
FEBS Letters, EarlyView.We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers
, 2001 In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean
Winter, M, Wei, J
core +1 more source
Boundary behavior of solutions to a singular Dirichlet problem with a nonlinear convection
Electronic Journal of Differential Equations, 2015 In this article we analyze the exact boundary behavior of solutions to the singular nonlinear Dirichlet problem $$\displaylines{ -\Delta u=b(x)g(u)+\lambda|\nabla u|^q+\sigma, \quad u>0, \; x \in \Omega,\cr u\big|_{\partial \Omega}=0, }$$ where ...
Bo Li, Zhijun Zhang
doaj
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Boundary behavior of the unique solution of a one-dimensional problem
Electronic Journal of Differential Equations, 2016 In this article, we analyze the blow-up rate of the unique solution to the singular boundary value problem $$\displaylines{ u''(t) =b(t)f(u(t)), \quad u(t)>0, \; t>0, \cr u(0)=\infty, \quad u(\infty)=0, }$$ where f(u) grows more slowly than $u^p$
Ling Mi
doaj