Results 101 to 110 of about 4,982,696 (356)

Global Attractor for a Chemotaxis Model with Reaction Term

Journal of Applied Mathematics, 2013
A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.
Xueyong Chen, Jianwei Shen
doaj   +1 more source

The MSA Atrophy Index (MSA‐AI): An Imaging Marker for Diagnosis and Clinical Progression in Multiple System Atrophy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Reliable biomarkers are essential for tracking disease progression and advancing treatments for multiple system atrophy (MSA). In this study, we propose the MSA Atrophy Index (MSA‐AI), a novel composite volumetric measure to distinguish MSA from related disorders and monitor disease progression. Methods Seventeen participants with an
Paula Trujillo, Kilian Hett, Amy Cooper, Amy E. Brown, Jessica Iregui, Manus J. Donahue, M. Erik Landman, Italo Biaggioni, Margaret Bradbury, Cynthia Wong, David Stamler, Daniel O. Claassen   +11 more
wiley   +1 more source

Dimension Estimate for the Global Attractor of an Evolution Equation

, 2012
We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of the n-dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.
R. Colucci, G. Chacón
semanticscholar   +1 more source

Correlation Between Irisin and Cognitive Functions in Alzheimer Dementia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The myokine irisin, a recent positive mediator of exercise in the brain, shows neuroprotective functions against Alzheimer's disease (AD). The association between irisin and cognition has never been explored in a biologically defined cohort of patients.
Patrizia Pignataro, Manuela Dicarlo, Chiara Zecca, Daniele Urso, Maria Teresa Dell'Abate, Davide Vilella, Francesco Borlizzi, Roberta Zerlotin, Angela Oranger, Graziana Colaianni, Silvia Colucci, Maria Grano, Giancarlo Logroscino   +12 more
wiley   +1 more source

Global dynamics of a fourth-order parabolic equation describing crystal surface growth

Nonlinear Analysis, 2019
In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
Ning Duan, Xianyun Xu
doaj   +1 more source

Circulating Interleukin‐6 Levels and Timing of Acute Ischemic Stroke Onset

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Intravenous thrombolysis is the most widely available effective ischemic stroke treatment, but is approved only if given within 4.5 h from stroke onset. Many patients are not treated because stroke onset time is unknown. We evaluated the cytokine interleukin 6 (IL‐6) in circulating blood after acute ischemic stroke (AIS).
Robert G. Kowalski, Aurélie Ledreux, John E. Violette, Whitney Paustian, Stefan Sillau, John A. Thompson, Robert T. Neumann, David Ornelas, Andrew A. Monte, Layne Dylla, Adit A. Ginde, Andra M. Farcas, Christina M. Coughlan, William J. Jones, James C. Grotta, Michael W. Graner   +15 more
wiley   +1 more source

Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations

Journal of Applied Mathematics, 2014
Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
doaj   +1 more source

Topological dimensions of global attractors for semilinear PDE's with delays [PDF]

, 1991
Joseph W.-H. So, Jian Wu
openalex   +1 more source

Quantitative Shape Irregularity and Density Heterogeneity Predict Hematoma Expansion in Patients With Intracerebral Hemorrhage

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Purpose This study aimed to explore the association between quantitative shape irregularity and density heterogeneity of hematomas and hematoma expansion (HE) for intracerebral hemorrhage (ICH) patients. Methods This cohort study included patients arriving within 24 h of symptom onset between August 2021 and July 2022 as the derivation cohort ...
Zeqiang Ji, Yunyi Hao, Bin Gao, Xiaojing Zhang, Yani Zhang, Jiaokun Jia, Xue Xia, Yuhao Guo, Sijia Li, Jianwei Wu, Kaijiang Kang, Xingquan Zhao   +11 more
wiley   +1 more source

A minimal approach to the theory of global attractors

Discrete & Continuous Dynamical Systems - A, 2012
For a semigroup $S(t):X\to X$ acting on a metric space $(X,d)$, we give a notion of global attractor based only on the minimality with respect to the attraction property. Such an attractor is shown to be invariant whenever $S(t)$ is asymptotically closed.
V. V. Chepyzhov, CONTI, MONICA, PATA, VITTORINO   +2 more
openaire   +3 more sources