Research

Delay differential equation
Nonlinear Dynamics
Mathematical Biology
- Cardiac electrophysiology
- Bone remodeling
- Wound healing
- Computational epitope mapping
- Prediction of protein-ligand and protein-protein interactions
Image Processing
- Biomedical image registration
- Hyperspectral image segmentation
- Detection of anomalies in hyperspectral images
- Target detection in hyperspectral imaging
Fluid Mechanics
- Dynamics of the human tear film
- Evaporative self-assembly of particles
- Modeling thixotropic yield stress fluids
- Gas bubbles in liquids and acoustic cavitation
- Thermal and fluid processes during femptosecond laser ablation
- Hydrostatic modeling of deadly gas emissions from African lakes
Condensed Matter
- Inferring Gibbs free energies of ternary mixtures from light scattering data
- Liquid structure of concentrated eye lens protein mixtures
- Charge regulations of proteins
Solid Mechanics and Materials Science
- Finite element error estimates for phase field models
- Self assembly of quantum dots in strained solid films
Inverse Problems
- Microlocal analysis for non-destructive imaging
- Elliptic inverse problems with application to elasticity imaging
Microelectromechanical Systems (MEMS)
- Background Summary
- Dynamics of micro-energy harvesting
- Temperature-dependent vibrations of bilayer microbeams
- A thermal actuator for liquid drop emitters

