| Application | Key Mathematics Areas |
| Microelectronic device fabrication for electronic imaging | solution of scalar conservation laws with moving boundaries |
| Predict the evolution of crystals growing in an industrial crystallizer | hyperbolic differential-delay equations |
| Photographic development | reaction-diffusion equations, parabolic PDEs with nonlinear forcing terms |
| Statistical distribution of sizes of oil droplets as the droplets coalesce | integro-differential equations, monte carlo simulations |
| Immuno-assay chemistry for developing new blood tests | dynamical systems, systems of coupled, nonlinear, autonomous ODEs |
| Waves in composite media | nonlinear mixed-type PDEs |
| Color balance in a photographic system | geometry and linear algebra, multivariate statistical distributions |
| Optics for design of a reflector | geometry, bivariate curve fitting, optimization |
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