Formation of Structured Particles Based on Reaction-Diffusion Kinetics in Gel

Diffusion-Controlled Reaction Kinetics

Kinetics of string-gel formation in a system of dipolar colloidal particles.

The formation of string-gels of dipolar colloidal particles is investigated using molecular dynamics simulations. The characteristic gelation time consistently increases as the temperature of the system increases; it also increases as the density of the system increases. This latter result suggests that the gel formation is not a simple nucleation process. In particular, the energy barriers sep...

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...

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...

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems