Results 81 to 90 of about 6,658,638 (311)
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
Demonstratio Mathematica, 2004 Summary: A sufficient condition for the existence of global solutions of evolution equations is proved. In the proof a modification of the Bihari type integral inequality to the case of a weakly singular nonlinear integral inequality is used. An application to a reaction-diffusion problem is given.
openaire +2 more sources
Phosphoinositides and inositol phosphates as molecular glues
FEBS Letters, EarlyView.Inositol phosphates (IPs) and phosphoinositides (PIPs) regulate diverse eukaryotic processes. Beyond recruiting signaling proteins or acting as structural cofactors, recent studies suggest they mediate protein–protein interactions as natural molecular glues.
Aleshia Seaton‐Terry +9 more
wiley +1 more source
MathematicsIn this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza +3 more
doaj +1 more source
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation.
Farid Nouioua, Bilal Basti
doaj
Journal of Inequalities and Applications, 2016 In this paper, we study the blow-up and global solutions of the following nonlinear reaction-diffusion equations under Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( a ( u ) b ( x ) ∇ u ) + f ( x , u ) in D × ( 0 , T ) , ∂ u ∂ n = 0 on ∂ D × ( 0 ,
Juntang Ding
doaj +1 more source
Global Existence and Fixed-Time Synchronization of a Hyperchaotic Financial System Governed by Semi-Linear Parabolic Partial Differential Equations Equipped with the Homogeneous Neumann Boundary Condition. [PDF]
Entropy (Basel), 2023 Wang C, Zhao X, Zhang Y, Lv Z.
europepmc +1 more source
Global Existence and Nonexistence in a System of Petrovsky
Journal of Mathematical Analysis and Applications, 2002 The author considers the problem \[ \begin{cases} u_{tt}+\Delta^2u+au_t|u_t|^{m-2}=bu|u|^{p-2}, &x\in \Omega\;\text{ and } t>0,\\ u(x,t)=\partial_\nu u(x,t)=0, &x\in \partial\Omega\;\text{ and } t\geq 0,\\ u(x,0)=\phi(x), u_t(x,0)=\psi(x), &x\in\Omega,\end{cases}\tag{1} \] where \(\Omega\) is a bounded domain of \({\mathbb{R}}^n\) with smooth boundary \
openaire +2 more sources
Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
FEBS Letters, EarlyView.Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
Global existence of solutions for a fractional Caputo nonlocal thermistor problem
Advances in Difference Equations, 2017 We begin by proving a local existence result for a fractional Caputo nonlocal thermistor problem. Then additional existence and continuation theorems are obtained, ensuring global existence of solutions.
Moulay Rchid Sidi Ammi +2 more
doaj +1 more source