Results 41 to 50 of about 8,097 (311)

Existence and attractors of solutions for nonlinear parabolic systems

Electronic Journal of Qualitative Theory of Differential Equations, 2001
We prove existence and asymptotic behaviour results for weak solutions of a mixed problem (S). We also obtain the existence of the global attractor and the regularity for this attractor in $\left[H^{2}(\Omega )\right] ^{2}$ and we derive estimates of its
Hamid El Ouardi, Abderrahmane El Hachimi
doaj   +1 more source

Spread trend of COVID-19 epidemic outbreak in China: using exponential attractor method in a spatial heterogeneous SEIQR model

Mathematical Biosciences and Engineering, 2020
In this paper we introduce a method of global exponential attractor in the reaction-diffusion epidemic model in spatial heterogeneous environment to study the spread trend and long-term dynamic behavior of the COVID-19 epidemic.
Cheng-Cheng Zhu, Jiang Zhu
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, Mengsen Zhang, Manish Saggar   +2 more
doaj   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

FEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Global attractors for gradient flows in metric spaces

Journal de Mathématiques Pures et Appliquées, 2010
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope, we introduce the latter to include limits of time-incremental ...
Riccarda Rossi, Antonio Segatti, Ulisse Stefanelli   +2 more
openalex   +6 more sources

Global attractors for semigroup actions

Journal of Mathematical Analysis and Applications, 2013
Abstract In this paper the notions of global attractor and global uniform attractor are extended to the setting of general semigroup actions. We study the necessary and sufficient conditions for the existence of the global attractor for semigroups acting on noncompact metric spaces.
Stephanie A. Raminelli, Josiney A. Souza
openaire   +2 more sources

Dynamic of the nonclassical diffusion equation with memory

Boundary Value Problems, 2023
In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space.
Jing Wang, Qiaozhen Ma, Wenxue Zhou, Xiaobin Yao   +3 more
doaj   +1 more source

Cyclic nucleotide signaling as a drug target in retinitis pigmentosa

FEBS Letters, EarlyView.
Disruptions in cGMP and cAMP signaling can contribute to retinal dysfunction and photoreceptor loss in retinitis pigmentosa. This perspective examines the mechanisms and evaluates emerging evidence on targeting these pathways as a potential therapeutic strategy to slow or prevent retinal degeneration.
Katri Vainionpää, Ahmed B. Montaser, Henri Leinonen   +2 more
wiley   +1 more source

Stability of limit regimes in general reaction-diffusion type systems

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян, Т. В. Юсипів   +1 more
doaj   +1 more source

Goodbye flat lymphoma biology

FEBS 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, Cèlia Dobaño‐López, Patricia Pérez‐Galán, Christine Bezombes   +3 more
wiley   +1 more source