Extrapolation and interpolation by time-scaling in systems with diffusion-controlled kinetics and first-order reaction rates.

Diffusion-Controlled Reaction Kinetics

Reaction rates for mesoscopic reaction-diffusion kinetics.

The mesoscopic reaction-diffusion master equation (RDME) is a popular modeling framework frequently applied to stochastic reaction-diffusion kinetics in systems biology. The RDME is derived from assumptions about the underlying physical properties of the system, and it may produce unphysical results for models where those assumptions fail. In that case, other more comprehensive models are bette...

First and Second Order Semistrong Interaction in Reaction-Diffusion Systems

Reaction rates for reaction-diffusion kinetics on unstructured meshes.

The reaction-diffusion master equation is a stochastic model often utilized in the study of biochemical reaction networks in living cells. It is applied when the spatial distribution of molecules is important to the dynamics of the system. A viable approach to resolve the complex geometry of cells accurately is to discretize space with an unstructured mesh. Diffusion is modeled as discrete jump...

Interpolation and Extrapolation in Color Systems

KAKODKAR, ATISH PANDURANG. Interpolation and Extrapolation in Color Systems. (Under the direction of Prof. Sarah A. Rajala and Prof. H. Joel Trussell.) With the increased use of color in desktop publishing applications has come a desire for greater control of the color quality. Colorimetric reproduction requires calibrated color output devices. One approach to color calibration is to characteri...