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A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling fermentor. Potential applications include water purification…

动力系统 · 数学 2018-09-10 Ting-Hao Hsu , Tyler Meadows , Lin Wang , Gail S. K. Wolkowicz

Model uncertainty quantification is an essential component of effective data assimilation. Model errors associated with sub-grid scale processes are often represented through stochastic parameterizations of the unresolved process. Many…

统计方法学 · 统计学 2021-04-13 Sahani Pathiraja , Peter Jan van Leeuwen

Grain microstructures are crucial to the mechanical properties, performance, and often lifetime of metallic components. Hence, the prediction of grain microstructures emerging from solidification processes at relevant macroscopic scale is…

材料科学 · 物理学 2025-04-18 Salem Mosbah , Rodrigo Gómez Vázquez , Constantin Zenz , Damien Tourret , Andreas Otto

Existing well investigated Predictive Process Monitoring techniques typically construct a predictive model based on past process executions, and then use it to predict the future of new ongoing cases, without the possibility of updating it…

机器学习 · 计算机科学 2023-10-26 Williams Rizzi , Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi

The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ordering. Various types of binary ordered phases, the phase…

软凝聚态物质 · 物理学 2019-09-25 Doaa Taha , S. R. Dlamini , S. K. Mkhonta , K. R. Elder , Zhi-Feng Huang

Aqueous foams and a wide range of related systems are believed to coarsen by gas diffusion between neighboring domains into a statistically self-similar scaling state, after the decay of initial transients, such that dimensionless size and…

软凝聚态物质 · 物理学 2023-09-19 Anthony T. Chieco , Douglas J. Durian

We construct a thermodynamic model for theoretical calculation of the boiling process of multicomponent mixtures of hydrocarbons (e.g., crude oil). The model governs kinetics of the mixture composition in the course of the distillation…

化学物理 · 物理学 2017-04-21 Anastasiya V. Pimenova , Denis S. Goldobin

A task of vital clinical importance, within Diabetes management, is the prevention of hypo/hyperglycemic events. Increasingly adopted Continuous Glucose Monitoring (CGM) devices offer detailed, non-intrusive and real time insights into a…

机器学习 · 计算机科学 2023-03-09 Jakub J. Dylag

We calculate bubble nucleation rates in a Lennard-Jones fluid through explicit molecular dynamics simulations. Our approach -- based on a recent free energy method (dubbed reweighted Jarzynski sampling), transition state theory, and a…

软凝聚态物质 · 物理学 2022-11-16 Kristof M. Bal , Erik C. Neyts

Numerous experimental data on the rapid solidification of binary systems exhibit the formation of metastable solid phases with the initial (nominal) chemical composition. This fact is explained by complete solute trapping leading to…

材料科学 · 物理学 2009-11-13 Peter Galenko

To study the solution growth of crystals composed of chiral organic molecules, a spin-one Ising lattice gas model is proposed. The model turns out to be equivalent to the Blume-Emery-Griffiths model, which shows an equilibrium chiral…

统计力学 · 物理学 2015-05-14 Yukio Saito , Hiroyuki Hyuga

In this work, we present a switching nonlinear model predictive control (NMPC) algorithm for a dual-hormone artificial pancreas (AP), and we use maximum likelihood estimation (MLE) to identify model parameters. A dual-hormone AP consists of…

Precise glucose level monitoring is critical for people with diabetes to avoid serious complications. While there are several methods for continuous glucose level monitoring, research on maintenance devices is limited. To mitigate the gap,…

机器学习 · 计算机科学 2024-06-10 Azmine Toushik Wasi

An essential parameter for crystal growth is the kinetic coefficient given by the proportionality between super-cooling and average growth velocity. Here we show that this coefficient can be computed in a single equilibrium simulation using…

统计力学 · 物理学 2015-10-26 Ulf R. Pedersen , Felix Hummel , Christoph Dellago

Depositional ice growth is an important process for cirrus cloud evolution, but the physics of ice growth in atmospheric conditions is still poorly understood. One major challenge in constraining depositional ice growth models against…

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

大气与海洋物理 · 物理学 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring

Phase segregation, the process by which the components of a binary mixture spontaneously separate, is a key process in the evolution and design of many chemical, mechanical, and biological systems. In this work, we present a data-driven…

机器学习 · 计算机科学 2018-03-28 Amir Barati Farimani , Joseph Gomes , Rishi Sharma , Franklin L. Lee , Vijay S. Pande

Rapid development in numerical modelling of materials and the complexity of new models increases quickly together with their computational demands. Despite the growing performance of modern computers and clusters, calibration of such models…

神经与进化计算 · 计算机科学 2016-03-08 Tomáš Mareš , Eliška Janouchová , Anna Kučerová

A nonlinear dynamical system model that approximates a microscopic Gibbs field model for the yielding of a viscoplastic material subjected to varying external stress recently reported in [1] is presented. The predictions of the model are in…

软凝聚态物质 · 物理学 2016-10-04 Sainudiin Raazesh , Moyers-Gonzalez Miguel , Burghelea Teodor

Linear diffusion processes serve as canonical continuous-time models for dynamic decision-making under uncertainty. These systems evolve according to drift matrices that specify the instantaneous rates of change in the expected system…

机器学习 · 计算机科学 2025-06-10 Mohamad Kazem Shirani Faradonbeh , Sadegh Shirani , Mohsen Bayati