Results 71 to 80 of about 8,147,434 (373)
Circulating histones as clinical biomarkers in critically ill conditions
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez +17 more
wiley +1 more source
In this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov +2 more
doaj +1 more source
A non-local inequality and global existence
6 pages, to appear in Advances in ...
Gressman PT, Krieger J, Strain RM
openaire +4 more sources
Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu +17 more
wiley +1 more source
Global existence for a degenerate haptotaxis model of cancer invasion [PDF]
We propose and study a strongly coupled PDE–ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer cell invasion through the extracellular matrix.
A. Zhigun, C. Surulescu, Aydar Uatay
semanticscholar +1 more source
Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria +3 more
wiley +1 more source
In this paper, we study a chemotaxis system with nonlinear indirect signal production \begin{document}$ \left\{ {\begin{array}{*{20}{l}} {{u_t} = \Delta \left( {\gamma \left( v \right) u } \right)}+ru-\mu u^l, \quad &x\in \Omega, t>0, \\ {{v_t ...
Ya Tian, Jing Luo
doaj +1 more source
Sharp conditions for a class of nonlinear Schrödinger equations
This paper studies a class of nonlinear Schrödinger equations in two space dimensions. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we get a sharp condition for global existence and blow-up of ...
Yang Liu , Jie Liu, Tao Yu
doaj +1 more source
Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]
We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
core +3 more sources
Global Existence and Nonexistence in a System of Petrovsky [PDF]
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

