Results 21 to 30 of about 24,892 (257)
Graphical approach to model reduction for nonlinear biochemical networks. [PDF]
PLoS ONE, 2011 Model reduction is a central challenge to the development and analysis of multiscale physiology models. Advances in model reduction are needed not only for computational feasibility but also for obtaining conceptual insights from complex systems.
David O Holland +2 more
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Computation, 2020 In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional ...
Valentin Alekseev +4 more
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ISPRS International Journal of Geo-Information, 2022 Accessibility plays an important role in alleviating rural poverty. Previous studies have explored the relationship between accessibility and rural poverty, but they offer limited evidence of the collective influence of multiscale transport accessibility
Leibo Cui +3 more
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Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
Mathematics, 2020 In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang +3 more
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Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena [PDF]
, 2006 Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book.
Gorban, Alexander N. +4 more
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Individualized Prediction of Colorectal Cancer Metastasis Using a Radiogenomics Approach
Frontiers in Oncology, 2021 Objectives: To evaluate whether incorporating the radiomics, genomics, and clinical features allows prediction of metastasis in colorectal cancer (CRC) and to develop a preoperative nomogram for predicting metastasis.Methods: We retrospectively analyzed ...
Qin Liu +11 more
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Model Reduction for Multiscale Lithium-Ion Battery Simulation [PDF]
, 2016 In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes. We present new results on the application of the reduced basis method to the resulting instationary 3D battery model that involves strong non-linearities due to Buttler-Volmer ...
Mario Ohlberger +2 more
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In situ adaptive reduction of nonlinear multiscale structural dynamics models
International Journal for Numerical Methods in Engineering, 2020 SummaryConventional offline training of reduced‐order bases in a predetermined region of a parameter space leads to parametric reduced‐order models that are vulnerable to extrapolation. This vulnerability manifests itself whenever a queried parameter point lies in an unexplored region of the parameter space.
Wanli He, Philip Avery, Charbel Farhat
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Dimensional Reduction of a Multiscale Model Based on Long Time Asymptotics [PDF]
Multiscale Modeling & Simulation, 2017 We consider a class of kinetic models for which a moment equation has a natural interpretation. We show that, depending on their velocity field, some models lead to moment equations that enable one to compute monokinetic solutions economically. We detail the example of a multiscale structured cell population model, consisting of a system of 2D ...
Clément, Frédérique +3 more
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Mathematics, 2023 In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
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