Center for Applied Mathematics and Statistics (CAMS) Main Research Areas
Mathematical Biology
CAMS Mathematical Biology Research - Experimental, computational and mathematical Neuroscience (synaptic dynamics, neronal plasticity, neuronal networks and applications to the visual cortex, persistant localized activity in excitatory networks, electrical activity in excitable cells)
- Developmental Biology (patterning, reaction-diffusion equations)
- Biological Fluid Dynamics (microvascular blood flow and oxygen delivery, immersed boundary/continuum methods)
|  Calculated oxygen distributions in the tissue surrounding three-dimensional arrays of capillaries |
Fluid Dynamics
CAMS Fluid Dynamics Research - Interfacial flows and microhydrodynamics (jet breakup, bubble dynamics, surfactants, interfacial instabilities, thin films, electrohydrodynamics)
- Reactive flow & combustion (droplet burning, flame modulation, ignition and extinction, turbulent flame modeling, detonation dynamics, front tracking)
- Particulate flows (granular flows, sedimentation)
|  Numerical simulation of the kinetics of droplet formation in polymer-liquid crystal mixtures |
Wave Propagation
CAMS Wave Propagation Research - Underwater acoustics (inverse scattering, matched field processing, target detection and localization)
- Electromagnetics (microwave heating and processing of ceramics, scattering from complex objects and dispersive materials, ultrafast optical communications, solitons in optical fibers)
|  Ambiguity surface generated by matched field processing of an exhaustive search for unknown source range and depth |
Applied Analysis
| CAMS Dynamical Systems Research CAMS Numerical Methods Research - Dynamical Systems (swept volumes (CAD/CAM), bifurcation and chaos in biological and mechanical systems, fractal geometry, traffic modeling)
- Differential Geometry (web geometry, analysis and computer-aided representation of surfaces)
- Numerical Analysis (methods and algorithms for simulation of physical systems, computer-aided geometric design, analysis of algorithms)
- Nonlinear Functional Analysis (topological and variational methods, applications to nonlinear ordinary and partial differential equations)
|  Mesoscopic Model for Pattern Formation in Materials |
Statistics
CAMS Statistics Research - Reliability and performance analysis (modeling, repairable systems, survival analysis)
- Time series and signal processing (forecasting, pattern recognition, nonlinear modeling)
- Computational statistical analysis (MCMC, Regression Splines, CART)
|  The Mean Remaining Life function MRL(x) ≡ E(X-x | X > x) |
