Simulating cancer behavior across multiple biological scales in space and time, ie,
multiscale cancer modeling, is increasingly being recognized as a powerful tool to refine …

This paper gives a systematic introduction to HMM, the heterogeneous multiscale methods,
including the fundamental design principles behind the HMM philosophy and the main …

Polymer materials are multiscale systems by definition. Already the description of a single
macromolecule involves a multitude of scales, and cooperative processes in polymer …

In immiscible two-phase flows, the contact line denotes the intersection of the fluid–fluid
interface with the solid wall. When one fluid displaces the other, the contact line moves …

We propose MESHFREEFLOWNET, a novel deep learning-based super-resolution
framework to generate continuous (grid-free) spatio-temporal solutions from the low …

There have been many techniques developed in recent years to in silico model a variety of
cancer behaviors. Agent-based modeling is a specific discrete-based hybrid modeling …

This article reviews the general features of the multiscale structures in particle–fluid systems
and the characterization, modeling, and simulation methods for these systems. The …

The physical processes near a moving contact line are investigated systematically using
molecular dynamics and continuum mechanics. Constitutive relations for the friction force in …

The influence of surface roughness on the slip behaviour of a Newtonian liquid in steady
planar shear is investigated using three different approaches, namely Stokes flow …

In this paper, we present two efficient energy stable schemes to solve a phase field model
incorporating moving contact line. The model is a coupled system that consists of …