Results 121 to 130 of about 4,970,219 (372)
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 EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
, 2012 In this paper, we consider the convective Cahn-Hilliard equa- tion. Based on the regularity estimates for the semigroups, iteration tech- nique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation ...
Xiaopeng Zhao, Bo Liu
semanticscholar +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 +2 more
openaire +3 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Despite the availability of effective therapies for Multiple Sclerosis (MS), the unpredictable nature of disease progression and the variability in individual treatment outcomes call for reliable biomarkers. This pilot study aims to investigate the potential of plasma circulating microRNAs (miRNAs) as predictive biomarkers for ...
Fortunata Carbone +19 more
wiley +1 more source
Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
doaj +1 more source
Cross-attractor modeling of resting-state functional connectivity in psychiatric disorders
NeuroImage, 2023 Resting-state functional connectivity (RSFC) is altered across various psychiatric disorders. Brain network modeling (BNM) has the potential to reveal the neurobiological underpinnings of such abnormalities by dynamically modeling the structure-function ...
Yinming Sun +2 more
doaj
, 2010 We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the layer variable $\vp$, endowed with periodic boundary ...
Segatti, Antonio, Wu, Hao
core
Existence of global attractor for the Trojan Y Chromosome model
, 2012 This paper is concerned with the long time behavior of solution for the equation derived by the Trojan Y Chromosome (TYC) model with spatial spread. Based on the regularity estimates for the semigroups and the classical existence theo- rem of global ...
Xiaopeng Zhao, Bo Liu, N. Duan
semanticscholar +1 more source
Stage‐Dependent Inhibitory Connectivity in Striatal‐Motor Circuit in Huntington's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Elucidating dysfunctional connectivity patterns among key brain regions in Huntington's disease (HD) underlying progression may have implications for developing treatment and therapeutic evaluation. Objective Explore the relationship between abnormal spontaneous resting‐state activity and atrophy in HD‐specific brain regions and ...
Yinghua Jing +4 more
wiley +1 more source
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 +11 more
wiley +1 more source