Results 71 to 80 of about 8,147,434 (373)

Circulating histones as clinical biomarkers in critically ill conditions

open access: yesFEBS Letters, EarlyView.
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

On the behavior of solutions of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorptions with variable densities

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
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

open access: yesAdvances in Mathematics, 2012
6 pages, to appear in Advances in ...
Gressman PT, Krieger J, Strain RM
openaire   +4 more sources

The epithelial barrier theory proposes a comprehensive explanation for the origins of allergic and other chronic noncommunicable diseases

open access: yesFEBS Letters, EarlyView.
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]

open access: yes, 2015
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

Goodbye flat lymphoma biology

open access: yesFEBS Letters, EarlyView.
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

Boundedness and large time behavior of a signal-dependent motility system with nonlinear indirect signal production

open access: yesElectronic Research Archive
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

open access: yesMathematical Biosciences and Engineering, 2023
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]

open access: yes, 2004
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]

open access: yesJournal 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

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