Modeling

The dynamics of spreading depolarizations (SD) operate at both the single cell and network level. As single cells bifurcate into extreme regions of their state space, network effects are all that remain to hold back the forthcoming wave of depolarization. Therefore, we investigated excitatory/inhibitory network effects near the leading edge of spreading depolarizations. We imaged >1000 layer 2/3 pyramidal neurons in vivo with GCaMP6f in awake mice before, during and after spreading depolarizations.

Biofilms are often key players in human,
animal, and plant infections, fouling of industrial equipment, contamination
of water systems, as well as in waste remediation, not
even to mention their central roles in all geochemical cycles.
Viewed as materials, biofilms are quite interesting: they are living,
growing viscoelastic fluids with surprising ability to respond to
and defend against environmental challenges. However, they are also complex
systems in which biological, chemical, and physical factors are, in general,

Predictive modeling of physical processes in heterogeneous media requires innovations in mathematical and computational thinking. While multiscale approaches have been successful in modeling the effects of fine scales to macroscopic response, a significant grant challenge remains in understanding the effects of topological uncertainties in characterization of properties.

Multiscale Modeling and Simulations of Biomembranes. Q. Du: 6 lectures, 50min each.

This course will be synchronized with and form an extension of course I (above). The proposed themes will include:

1. Overview of the subject; molecular dynamics simulations; coarse-grained models; specifics of Helfrich's continuum theory for biomembrane bending energy.

2. Phase field calculus and diffuse interface approach for bending elasticity models.

3. Coupling of membranes with external fields; multiscale and adaptive simulations.

In an attempt to enhance the performance of the built environment, models are being used everywhere to better design or operate buildings. Whole-building energy models are being used for design trades and for compliance (e.g. LEED) in design firms and these or reduced order versions are used for online predictive optimization or fault diagnostics after the building is commissioned.

A brief historical review of various chemistries that have been used in batteries for automotive applications will be provided. This will be followed by an overview of Ford’s electrification strategy and our research and advanced engineering efforts. Next, the material components of lithium-ion cells and modeling of these electrochemical energy storage devices will be discussed. Finally, the challenges in this field and potential opportunities for interdisciplinary research to meet our goals will be highlighted with specific examples from our present collaborations.