Results 61 to 70 of about 10,381 (194)
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
ABSTRACT The paper proposes a variational analysis of the 1‐hypergeometric stochastic volatility model for pricing European options. The methodology involves the derivation of estimates of the weak solution in a weighted Sobolev space. The weight is closely related to the stochastic volatility dynamic of the model.
José Da Fonseca, Wenjun Zhang
wiley +1 more source
Are physiological oscillations physiological?
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Abstract Purpose This study aims (1) to implement a robust acquisition, fully automated reconstruction, and processing pipeline using a novel rosette k‐space pattern for UTE 31P 3D MRSI and (2) to evaluate the clinical applicability and reproducibility at different experimental setups.
Seyma Alcicek+7 more
wiley +1 more source
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao+3 more
wiley +1 more source
This study develops a moving horizon estimator for real‐time prediction of AZO nanoparticle properties during sol‐gel synthesis, integrating UV‐vis spectroscopy with a simplified PBE model via DMDc. The method accurately estimates PSD, showing strong agreement with offline data and supporting modern model‐based control to enhance synthesis quality ...
Guohui Yang+3 more
wiley +1 more source
Optimal adaptive reinforcement learning control using an actor‐critic architecture. The controller learns optimal control policies online from data measured along the trajectories of a plug flow system ABSTRACT This article is devoted to optimal adaptive control for a distributed parameter convection‐reaction system by reinforcement learning (RL ...
Abdellaziz Binid, Ilyasse Aksikas
wiley +1 more source
Mathematical Modeling of Neuroinflammation in Neurodegenerative Diseases
ABSTRACT Age‐related neurodegenerative diseases such as amyotrophic lateral sclerosis (ALS), Alzheimer's disease (AD) and Parkinson's disease (PD) are an increasing public health concern. Whereas the pathology of these diseases is complex, chronic central inflammation, or neuroinflammation, is commonly observed across many neurodegenerative diseases ...
Alex Foster‐Powell+4 more
wiley +1 more source
A conservative numerical scheme for the multilayer shallow‐water equations on unstructured meshes
An energy‐conserving scheme is derived for the multilayer shallow water model, making use of the direct connection between energy conservation and the skew symmetry of the Poisson bracket for the model. A new mechanism is proposed to prevent layer interface outcropping.
Qingshan Chen
wiley +1 more source
Evaluating machine‐learning models for wind‐speed downscaling from ECMWF‐IFS data
We benchmark recent machine‐learning methods for downscaling wind speeds from a low‐resolution 9‐km model input to 1‐km predictions. We include recent super‐resolution approaches and transformer‐based architectures and propose Windflow‐SRnet. The models are trained with input data from the ECMWF‐IFS numerical weather model to predict label data from ...
William Ericson+5 more
wiley +1 more source