Results 71 to 80 of about 4,980,537 (374)
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
Discrete & Continuous Dynamical Systems - B, 2020 We mainly consider the existence of a random exponential attractor (positive invariant compact measurable set with finite fractal dimension and attracting orbits exponentially) for stochastic discrete long wave-short wave resonance equation driven by ...
Xingni Tan, Fuqi Yin, Guihong Fan
semanticscholar +1 more source
, 2014 Unique existence of solutions to porous media equations driven by continuous linear multiplicative space-time rough signals is proven for initial data in $L^1(\mathcal {O})$ on bounded domains $\mathcal {O}$.
Gess, Benjamin
core +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
Dynamics of stochastic 3D Brinkman-Forchheimer equations on unbounded domains
Electronic Research Archive, 2023 This paper is concerned with the asymptotic behavior of the stochastic three dimensional Brinkman-Forchheimer equations in some unbounded domains. We first define a continuous random dynamical system for the equations. Then by J.
Shu Wang, Mengmeng Si , Rong Yang
doaj +1 more source
Random Boolean Networks and Attractors of their Intersecting Circuits [PDF]
2011 IEEE Workshops of International Conference on Advanced Information Networking and Applications, 2011 The multi-scale strategy in studying biological regulatory networks analysis is based on two level of analysis. The first level is structural and consists in examining the architecture of the interaction graph underlying the network and the second level is functional and analyse the regulatory properties of the network.
Demongeot, Jacques +3 more
openaire +2 more sources
FEBS Letters, EarlyView.B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro +2 more
wiley +1 more source
Journal of Applied Mathematics, 2012 The paper is devoted to proving the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with multiplicative white noise.
Anhui Gu
doaj +1 more source
The random case of Conley's theorem: III. Random semiflow case and Morse decomposition
, 2007 In the first part of this paper, we generalize the results of the author \cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we obtain Conley decomposition theorem for infinite dimensional random dynamical systems.
Arnold L +25 more
core +2 more sources
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source