Research

Delay differential equation

Nonlinear Dynamics

• Population dynamics of ancient civilizations
• Dynamics of semiconductor lasers with external cavity

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

Network Analysis

• Propagation of rumours on social networks
• A multi meshed tree algorithm for mobile ad hoc networks

Combustion Theory

• Compressible multiphase reactive flow in granular explosives
• Gas-solid nonequilibrium in filtration combustion
• The reactive Rayleigh-Benard problem
• Fingering instability in filtration combustion