Results 51 to 60 of about 4,955,233 (291)
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
Mathematics, 2021 In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem.
Rubén Caballero +3 more
doaj +1 more source
On the Residual Continuity of Global Attractors
Mathematics, 2022 In this brief paper, we studied the residual continuity of global attractors Aλ in varying parameters λ∈Λ with Λ a bounded Borel set in Rd. We first reviewed the well-known residual continuity result of global attractors and then showed that this residual continuity is equivalent to the dense continuity. Then, we proved an analogue continuity result in
Wang, Xingxing, Cui, Hongyong
openaire +2 more sources
Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation [PDF]
, 2011 The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available.
Carvalho, A. N. +8 more
core +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
Global dynamics of a reaction-diffusion system
Electronic Journal of Differential Equations, 2011 In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
doaj
Global Solutions and Asymptotic Study to a 3D-Lagrangian Boussinesq System
Journal of MathematicsWe prove that the Lagrangian-averaged 3D periodic Boussinesq system has a global in time weak solution that depends continuously on time. Also, we establish that a unique strong global in time solution exists.
Ridha Selmi, Faizah Dhami Alanazi
doaj +1 more source
FEBS Letters, EarlyView.This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
wiley +1 more source
Asymptotic behavior for second order lattice dynamical systems
Discrete Dynamics in Nature and Society, 2001 We consider the existence of the global attractor for a second order lattice dynamical systems.
Shengfan Zhou
doaj +1 more source
The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
FEBS Letters, EarlyView.Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
wiley +1 more source
Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
Electronic Journal of Differential Equations, 1998 In this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions.
M.A. Astaburuaga +3 more
doaj