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Novel approaches for the production of fuels and chemicals in Escherichia coli
Volatility of oil prices along with major concerns about climate change, oil supply security and depleting reserves have sparked renewed interest in the production of biofuels and biochemicals. While the carbohydrate portion ...
Mie and Finite-Element Simulations of the Optical and Plasmonic Properties of Micro- and Nanostructures
A Mie-based code is developed for multilayer concentric spheres. The code is used in conjunction with a finite-element package to investigate the plasmonic and optical properties of micro- and nanostructures. For plasmonic ...
Live Cell Compartment Tracking: Object Tracking in Oscillating Intensity Images
Mathematical modeling has made great strides since the Lotka-Volterra predator-prey models. Newer models attempt to describe sub-cellular signal transduction pathways, such as the JAK-STAT and NF-κB pathways. However, the ...
Ritz values and Arnoldi convergence for non-Hermitian matrices
This thesis develops ways of localizing the Ritz values of non-Hermitian matrices. The restarted Arnoldi method with exact shifts, useful for determining a few desired eigenvalues of a matrix, employs Ritz values to refine ...