Results 111 to 120 of about 6,616 (301)

Strong Morse–Lyapunov functions for Morse decompositions of attractors of random dynamical systems [PDF]

, 2017
In this paper, we first construct strong Lyapunov functions for random attractors. On this basis, we then establish strong Morse–Lyapunov functions for Morse decompositions of the random attractors.
Ailing Qi, Xuewei Ju, Jintao Wang
core   +1 more source

Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level

Aging and Cancer, EarlyView.
This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
wiley   +1 more source

Multidimensional Profiling of MRI‐Negative Temporal Lobe Epilepsy Uncovers Distinct Phenotypes

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although hippocampal sclerosis (TLE‐HS) represents the most frequent cause of temporal lobe epilepsy (TLE), up to 30% of patients show no lesion on visual MRI inspection (TLE‐MRIneg). These cases pose diagnostic and therapeutic challenges and are underrepresented in surgical series.
Alice Ballerini, Alessia Casarini, Niccolò Biagioli, Laura Mirandola, Daniela Ballotta, Paul Summers, Simona Scolastico, Laura Madrassi, Maurilio Genovese, Marcella Malagoli, Gaetano Cantalupo, Giada Giovannini, Matteo Pugnaghi, Niccolò Orlandi, Laura Tassi, Valeria Cuccarini, Domenico Aquino, Elena Tartara, Fulvia Palesi, Giuseppe Didato, Paolo Vitali, the 3TLE Study Group, Roberta Di Giacomo, Fabio Doniselli, Federica Mazzi, Carlo Andrea Galimberti, Claudia A. M. Gandini Wheeler‐Kingshott, Stefano Meletti, Anna Elisabetta Vaudano   +28 more
wiley   +1 more source

Clinical Validation of Plasma p‐217tau in Neurological Diseases

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi, Takumi Nakamura, Ryoma Takahashi, Tetsuya Ueda, Seiji Kinoshita, Chikage Uchida, Takashi Sugawara, Kentaro Hashimoto, Kunihiko Ishizawa, Masakuni Amari, Hiroo Kasahara, Yoshio Ikeda, Masamitsu Takatama, Mikio Shoji   +13 more
wiley   +1 more source

Boundary approximation of deterministic and random attractors [PDF]

A result on the boundary of Omega-limit sets, delta Omega(B) subset of Omega(delta B), is shown and used to prove that boundaries of deterministic and random attractors are covered by Omega-limit sets of boundaries of compact sets.

core   +1 more source

Random attractors on countable state spaces [PDF]

We study the synchronization behavior of discrete-time Markov chains on countable state spaces. Representing a Markov chain in terms of a random dynamical system, which describes the collective dynamics of trajectories driven by the same noise, allows ...
Engel, Maximilian, Chemnitz, Robin, Olicón-Mendez, Guillermo   +2 more
core   +4 more sources

Longitudinal Assessment of Biomarkers in ALS: Discriminative Biomarkers for Disease Progression and Survival

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To assess the association and discriminative performance of serum biomarkers with clinical disease progression and survival in patients with amyotrophic lateral sclerosis (ALS). Methods This retrospective study, conducted at Houston Methodist Hospital, Houston, TX, used longitudinal serum samples collected between January 2018 and ...
David R. Beers, Yueh‐Yun Lin, Jason R. Thonhoff, Aaron D. Thome, Alireza Faridar, Weihua Zhao, Shixiang Wen, Stanley H. Appel   +7 more
wiley   +1 more source

Existence and upper semicontinuity of random attractors for stochastic p-Laplacian equations on unbounded domains

Electronic Journal of Differential Equations, 2014
The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied ...
Jia Li, Yangrong Li, Hongyong Cui
doaj  

Comparative Effectiveness and Safety of Inebilizumab Versus Rituximab in AQP4‐IgG‐Positive NMOSD

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rituximab (anti‐CD20, RTX) and inebilizumab (anti‐CD19, INE) represent B‐cell‐depleting therapies used for aquaporin‐4 antibody‐positive (AQP4‐IgG+) neuromyelitis optica spectrum disorder (NMOSD); however, direct comparative evidence remains limited.
Jie Lin, Binbin Xue, Dewei Xie, Jia Li, Juyuan Pan, Lanbing Zhu, Qiaowen Tong, Jing Lin, Ruofan Zhu, Xu Zhang, Junhui Xia, Xiang Li   +11 more
wiley   +1 more source

Collapse of attractors for ODEs under small random perturbations [PDF]

This paper concerns comparisons between attractors for random dynamical systems and their corresponding noiseless systems. It is shown that if a random dynamical system has negative time trajectories that are transient or explode with probability one ...
Tearne, Oliver M.
core   +1 more source