Results 71 to 80 of about 34,973 (262)
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
A Multiscale Guide to Brownian Motion
, 2015 We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at ...
Beliaev, Dmitry +2 more
core +1 more source
Advanced Science, EarlyView.ABSTRACT Self‐healing materials represent a paradigm shift in designing functional biomedical devices for drug delivery, tissue regeneration, and 3D bioprinting. However, their clinical translation remains limited by challenges such as insufficient mechanical strength, potential cytotoxicity from chemical modifications, and complex activation ...
Ganjun Feng +15 more
wiley +1 more source
Super Fractional Brownian Motion, Fractional Super Brownian Motion and Related Self-Similar (Super) Processes [PDF]
The Annals of Probability, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adler, R. J., Samorodnitsky, G.
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Abstract and Applied Analysis, 2014 Option pricing is always one of the critical issues in financial mathematics and economics. Brownian motion is the basic hypothesis of option pricing model, which questions the fractional property of stock price. In this paper, under the assumption that
Kaili Xiang, Yindong Zhang, Xiaotong Mao
doaj +1 more source
, 2011 We consider a mixed stochastic differential equation driven by possibly dependent fractional Brownian motion and Brownian motion.
Garsia A. M. +6 more
core +1 more source
Advanced Science, EarlyView.ABSTRACT Extracellular vesicles (EVs) are nanoscale mediators of intercellular communication with diverse molecular cargoes that reflect their cell of origin. Advances in isolation, detection, and single‐particle analytics have revealed increasing molecular and functional heterogeneity, while exposing limitations in how EV identity and activity are ...
David J. Lundy +8 more
wiley +1 more source
On two-dimensional fractional Brownian motion and fractional Brownian random field [PDF]
Journal of Physics A: Mathematical and General, 1998 As a generalization of one-dimensional fractional Brownian motion (1dfBm), we introduce a class of two-dimensional, self-similar, strongly correlated random walks whose variance scales with power law N(2) (H) (0 < H < 1). We report analytical results on the statistical size and shape, and segment distribution of its trajectory in the limit of large N ...
Qian, Hong +2 more
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Estimation of the Hurst and the stability indices of a $H$-self-similar stable process
, 2017 In this paper we estimate both the Hurst and the stable indices of a H-self-similar stable process. More precisely, let $X$ be a $H$-sssi (self-similar stationary increments) symmetric $\alpha$-stable process. The process $X$ is observed at points $\frac{
Dang, Thi To Nhu, Istas, Jacques
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Advanced Science, EarlyView.This study constructed the W1/O/W2 emulsion–based targeted therapy delivery system for ulcerative colitis (UC) utilizing LCC as surfactant for the first time. This multifunctional emulsion offered certain therapeutic advantages for UC, including targeted colonic delivery of active compounds, synergistic modulation of gut microbiota through combined ...
Qian Wu +9 more
wiley +1 more source