Coupled Reaction-Diffusion Equations

Analysis of Coupled Reaction-Diffusion Equations for RNA Interactions.

We consider a system of coupled reaction-diffusion equations that models the interaction between multiple types of chemical species, particularly the interaction between one messenger RNA and different types of non-coding microRNAs in biological cells. We construct various modeling systems with different levels of complexity for the reaction, nonlinear diffusion, and coupled reaction and diffus...

Some Remarks on Some Strongly Coupled Reaction-Diffusion Equations

The primary goal of this paper is to make an investigation on a particular type of partial differential systems, that is, the strongly coupled reactiondiffusion system. Recall that early investigations on this problem are due 2000 Mathematics Subject Classifications. 35K57; 35B35; 35B65; 35K45; 47B44; 47B15

Generalized reaction–diffusion equations

This Letter proposes generalized reaction–diffusion equations for treating noisy magnetic resonance images. An edge-enhancing functional is introduced for image enhancement. A number of super-diffusion operators are introduced for fast and effective smoothing. Statistical information is utilized for robust edge-stopping and diffusion-rate estimation. A quasi-interpolating wavelet algorithm is u...

Reaction-diffusion Equations

I have recently worked in the area of partial differential equations (PDE), specifically reaction-diffusion equations, drift-diffusion equations, and fluid dynamics. These equations model physical processes such as combustion, mixing, or turbulence, and my main interest has been in long term dynamics of their solutions as well as in the formation of singularities. I consider myself an applied a...

Reaction-Diffusion Equations and Learning