Results 101 to 110 of about 11,838 (304)

Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays

Discrete Dynamics in Nature and Society, 2011
Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered. Some new sufficient conditions to guarantee the almost sure exponential stability and mean square exponential ...
Chuangxia Huang, Xinsong Yang, Yigang He, Lehua Huang   +3 more
doaj   +1 more source

Flash Assembloids: A Rapid Biofabrication of a Platform for Modeling Early Glioblastoma Invasion at the Glioblastoma–Brain Organoid Interfaces

Advanced Healthcare Materials, EarlyView.
This study presents a bioengineered assembloid (ASM) system combining glioblastoma (GBM) cells in oxidized alginate (OA) microgels with dorsal organoids (DOs). This model simulates brain tumor‐host interactions, revealing enhanced GBM invasion, altered gene expression, and aggressive infiltration patterns, demonstrating ASM as a valuable platform for ...
Chao Liang, Henry Robert Howard, Shihui Chen, Won‐Young Choi, Summer Cao, Arthur Chien, Kevin Zou, Michael Kassiou, Fabien Delerue, Ho Sang Jung, Yeonju Park, Young Mee Jung, Yong‐Dae Kwon, Karrie M. Kiang, Gilberto Ka‐Kit Leung, Ryohichi Sugimura, Ann‐Na Cho, Sang Jin Lee   +17 more
wiley   +1 more source

Microengineered Gradient Hydrogels for Mechanobiology

Advanced Healthcare Materials, EarlyView.
Gradient hydrogels are used to mimic the mechanical heterogeneity in native tissues, offering powerful in vitro platforms to study cell‐material interactions in diverse pathophysiological contexts. Here, we present a comprehensive review of the design and experimental considerations for stiffness gradient hydrogels, discussing exemplary achievements ...
Shin Wei Chong, Deepu Ashok, Anna Waterhouse, Marcela M. M. Bilek, Daniele Vigolo   +4 more
wiley   +1 more source

ALMOST SURE CONVERGENCE OF SEQUENCES WITH RANDOM INDICES [PDF]

application/pdfLet ＄Z_{+}^{d}＄ , where ＄d￥geqq 1＄ is an integer, denote the positive integer d-dimensional lattice points. Let ＄￥{Y_{n}, n￥in Z_{+}^{a}￥}＄ be a set of random variables. Let ＄￥{N_{n}, n￥in Z_{+}^{d}￥}＄ be a set of ＄Z_{+}^{d}＄-valued random
Zygo, J., Rychlik, Z., 29718, 29717
core   +1 more source

Maximum likelihood estimators of a long-memory process from discrete observations

Advances in Difference Equations, 2018
This paper deals with the problem of estimating the unknown parameters in a long-memory process based on the maximum likelihood method. The mean-square and the almost sure convergence of these estimators based on discrete-time observations are provided ...
Lin Sun, Lin Wang, Pei Fu
doaj   +1 more source

A Skorohod Representation Theorem for Uniform Distance [PDF]

Let µn be a probability measure on the Borel sigma-field on D[0, 1] with respect to Skorohod distance, n = 0. Necessary and sufficient conditions for the following statement are provided.
Pietro Rigo, Luca Pratelli, Patrizia Berti   +2 more
core  

Functional Blood‐Brain Barrier Crossing by Biomimetic M13 Phage Vectors for Targeted Neuronal Delivery

Advanced Healthcare Materials, EarlyView.
This study investigates the M13 bacteriophage as a biomimetic nanovector capable of crossing in vitro models of the blood–brain barrier. By exploiting peculiar transcellular pathways, M13 avoids lysosomal degradation and preserves its structural integrity and functionality.
Silvia Vercellino, Lucia Pappagallo, Francesca De Chirico, Luca Boselli, Hazem Ahmed, Luca Spagnoletti, Giovanni Pittaluga, Paolo Emidio Costantini, Matteo Calvaresi, Pier Paolo Pompa, Alberto Danielli, Fabio Benfenati, Valentina Castagnola   +12 more
wiley   +1 more source

Convergence of weighted sums of independent random variables and an extension to Banach space-valued random variables

International Journal of Mathematics and Mathematical Sciences, 1979
Let {Xk} be independent random variables with EXk=0 for all k and let {ank:n≥1, k≥1} be an array of real numbers. In this paper the almost sure convergence of Sn=∑k=1nankXk, n=1,2,…, to a constant is studied under various conditions on the weights {ank ...
W. J. Padgett, R. L. Taylor
doaj   +1 more source

Convergence in Distribution, Convergence in Probability and Almost Sure Convergence of Discrete Martingales

The Annals of Mathematical Statistics, 1972
Examples are provided of Markovian martingales that: (i) converge in distribution but fail to converge in probability; (ii) converge in probability but fail to converge almost surely. This stands in sharp contrast to the behavior of series with independent increments, and settles, in the negative, a question raised by Loeve in 1964. Subsequently, it is
openaire   +3 more sources

Microgel‐Based 3D Bioprinting: A Convergent Strategy Integrating Material Design, Jamming Dynamics, and Biological Function

Advanced Healthcare Materials, EarlyView.
Microgel‐based 3D printed constructs represent a compelling and versatile innovation for engineering architecturally complex, dynamically remodelable, and biocompatible structures with high structural fidelity and bioactivity. By integrating material design, biofabrication, and biological function, these systems enable the development of adaptive ...
Elena Ghighină, Andreea Ioana Dinu, Jana Ghițman   +2 more
wiley   +1 more source