Results 61 to 70 of about 1,846 (253)

A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation

Advanced Physics Research, EarlyView.
A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab, Houssam Eddine Hailouf, Kingsley Onyebuchi Obodo, Mireille Megnidio‐Tchoukouegno, Mohammed Benali Kanoun, Souraya Goumri‐Said   +5 more
wiley   +1 more source

Multi‐Scale Hybrid Modeling to Predict Cell Culture Process With Metabolic Phase Transitions

Biotechnology and Bioengineering, EarlyView.
ABSTRACT To advance understanding of cellular metabolism and reduce batch‐to‐batch variability in cell culture processes, this study introduces a multi‐scale hybrid modeling framework designed to simulate and predict the dynamic behavior of CHO cell cultures undergoing metabolic phase transitions.
Keqi Wang, Sarah W. Harcum, Wei Xie
wiley   +1 more source

A Modular Mechanistic In Silico Model for In Vitro Transcription Process Yield and Product Quality Prediction

Biotechnology and Bioengineering, EarlyView.
ABSTRACT In vitro transcription (IVT) plays a critical role in the manufacture of mRNA vaccines and therapeutics. Optimizing mRNA yield and ensuring product quality, such as capping efficiency and integrity, are essential but mechanistically complex. This study presents a modular mechanistic model of the IVT process to advance scientific understanding ...
Keqi Wang, Keilung Choy, Eli Reiser, Jinxiang Pei, Hua Zheng, Aparajita Dasgupta, Fuqiang Cheng, Guogang Dong, Bhanu Chandra Mulukutla, Joshua Mannheimer, Carolyn Huang, Hooman Farsani, Wei Xie   +12 more
wiley   +1 more source

Mechanical Characterization of Acidic Casein Gels From Micellar Casein Powder: Influence of Lactose and Sucrose

ChemFoodChem, EarlyView.
Two‐stage linear force–displacement curves reveal that networks of acidic casein gels made of MC–powder are strengthened with increasing sugar content and a sugar peak appears. The system dynamics analysis decomposes this peak into an elastic sugar–protein interaction, likely due to weak hydrogen bonds, and a viscous gel network component.
Ronald Gebhardt, Thomas Pütz
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Characteristic function estimation of non-Gaussian Ornstein-Uhlenbeck processes. [PDF]

Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly popular given their flexibility in modelling stylized features of financial series such as asymmetry, heavy tails and jumps.
Emanuele Taufer
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

A Wright-Based Generalization of the Euler Beta Function with Statistical Applications

Mathematics
In recent years, special function theory has played an increasingly important role in the development of advanced mathematical models and statistical distributions. In this paper, a new extension of the Euler Beta function is introduced by employing the Wright function as a kernel, leading to the formulation of the Beta–Wright function.
Layth T. Khudhuir, Hiba F. Al-Janaby, Firas Ghanim, Alina Alb Lupaș   +3 more
openaire   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

The use of ore microscopy data for flotation process control by means of a liberation model - a case study [PDF]

, 2000
Any realistic description of ore processing dealing with a particulate system requires an adequate characterization of it properties, mainly particle size and grade,because these are the most important variables that influence the performance of a ...
Barros, Elisa, Cavalheiro, Abílio, Leite, Mário   +2 more
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