Multiscale modeling of nano/micro systems by a multiscale continuum field theory

Dynamics of Macro–Nano Mechanical Systems; Fixed Interfacial Multiscale Method

The continuum based approaches don’t provide the correct physics in atomic scales. On the other hand, the molecular based approaches are limited by the length and simulated process time. As an attractive alternative, this paper proposes the Fixed Interfacial Multiscale Method (FIMM) for computationally and mathematically efficient modeling of solid structures. The approach is applicable to mult...

Multiscale Modeling of Cellular Systems in Biology

Here we review eight different multiscale modeling efforts dealing with cellular systems in biology. The first two models focus on collagen based tissue, one dealing with the biomechanical properties of the tissue and the other focusing on how the dermis is remodeled in scar tissue formation. The next two models deal with first avascular tumor growth and then the role of the vasculature in tumo...

Multiscale Modeling of the Sleep/wake Systems

The mathematical modeling of biological processes is a powerful tool for informing both areas of mathematics and biology. Specifically the process of sleep deprivation has benefited from mathematical modeling, where researchers are not sure of many of the biological basis for the data. In our work, we successfully modeled the sleep/ wake system using the flip-flop switch formalism. Our model ad...

1 Multiscale Modeling of Electrochemical Systems

ing reliable information from molecular simulations depends on having a representative sample with respect to the properties or behaviors of interest. This typically requires equilibrating the system by performing dynamics until any biases in the initial configuration of the system have been randomized away. Following the equilibration period, measurements can be made on the further dynamics of...

Multiscale modeling