Results 31 to 40 of about 7,987 (267)

Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains

Abstract and Applied Analysis, 2013
This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
doaj   +1 more source

Invariant measures and random attractors of stochastic delay differential equations in Hilbert space

Electronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj   +1 more source

Number of attractors in random Boolean networks [PDF]

Physical Review E, 2005
The evaluation of the number of attractors in Kauffman networks by Samuelsson and Troein is generalized to critical networks with one input per node and to networks with two inputs per node and different probability distributions for update functions.
openaire   +2 more sources

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

Wasit Journal for Pure Sciences
The 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

Measurable Residual Disease Monitoring During Treatment for Pediatric Acute Myeloid Leukemia in First Relapse

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen, Kristian Juul Sandahl, Lene Karlsson, Jonas Abrahamsson, Nira Arad‐Cohen, Daniel Cheuk, Barbara De Moerloose, Linda Fogelstrand, Jose Maria Fernandez Navarro, Bianca F. Goemans, Kirsi Jahnukainen, Gertjan Kaspers, Zhanna Kovalova, Monica Cheng Munthe‐Kaas, Ulrika Norén‐Nyström, Josefine Palle, Ramune Pasauliene, Cornelis Jan Pronk, Kadri Saks, Anne Tierens, Henrik Hasle, Kristian Løvvik Juul‐Dam   +21 more
wiley   +1 more source

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Abstract and Applied Analysis, 2014
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj   +1 more source

Global attractors for multivalued random dynamical systems [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2002
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
Caraballo Garrido, Tomás, Langa Rosado, José Antonio, Valero Cuadra, José   +2 more
openaire   +3 more sources

Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas, Jakob Q. Weiss, Kellee N. Parker, Cathy Lee‐Miller   +3 more
wiley   +1 more source

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices

Discrete Dynamics in Nature and Society, 2012
We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.
Anhui Gu, Zhaojuan Wang, Shengfan Zhou
doaj   +1 more source

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo, Weisi Dai, Jie Mao, Mei Ye, Xingshan Lu, Xiaocui Zhang   +5 more
wiley   +1 more source