As posed by Bi et al. [7]. Eventually, accepting the fact that the jamming density is changing with deformation history, significant improvement of continuum models is expected, not only for classical elasto-plastic or rheology models, but also, e.g., for anisotropic constitutive models [41,6...
6.1Multiscale models Multiscale modelingis often used in physical sciences to solve problems on multiple scales (e.g., spatial, temporal). We advocate using multiscale modeling as a means to connect differentbiological processesat different scales to account for the time- and spatial-dependent kine...
It should be noted that although the general circulation models (GCMs) are expected as the most ideal tool to investigate the ENSO complexity, it is still a great challenge for them to successfully simulate these ENSO characteristics. Besides, because GCMs include many factors that can influence E...
The pixel-wise Markov image models introduced in the previous chapters have a limited ability in dealing with texture images. In order to describe large scale behavior in texture images, it is necessary to increase the size of the neighborhood. However, this dramatically increases the number of ...
This paper builds on recent developments of a unified asymptotic approach to meteorological modeling [ZAMM, 80: 765–777, 2000, SIAM Proc. App. Math. 116, 227–289, 2004], which was used successfully in the development of Systematic multiscale models for the tropics in Majda and Klein [J....
Mach bands and multiscale models of spatial vision: the role of first, second, and third derivative operators in encoding bars and edges. A. (2012). Mach bands and multiscale models of spatial vision: the role of first, second, and third derivative operators in encoding bars and edges .....
Several finite element models of TBI have been developed to predict mechanical forces in the brain tissue, using different measures, e.g. stress (a measure of local force), strain (a measure of local deformation) and strain rate. A few models were tested against experimental TBI in vivo, ...
The cellular level models the behaviours of cells with a 3D cellular automata. The tissue level visualizes the whole tumor morphology. Full size image Figure 2 The interactions between micro-environmental (mE) factors and tumor cells. The outer circle stands for mE factors being considered at ...
The basic idea of theory-driven machine learning is, given a physics-based ordinary or partial differential equation, how can we leverage structured physical laws and mechanistic models as informative prior information in a machine learning pipeline towards advancing modeling capabilities and expediting m...
A bridging domain method,in which molecular models and continuum models are coupled,is performed to study three-dimensional contact of a rigid spherical tip and a smooth flat substrate.It is compared with full-atom molecular simulations.We focus on relaxation behavior under a given load,continuity ...