Reaction-diffusion front crossing a local defect

Reaction-diffusion Front Speed Enhancement by Flows

Abstract. We study flow-induced enhancement of the speed of pulsating traveling fronts for reaction-diffusion equations, and quenching of reaction by fluid flows. We prove, for periodic flows in two dimensions and any combustion-type reaction, that the front speed is proportional to the square root of the (homogenized) effective diffusivity of the flow. We show that this result does not hold in...

Front tracking for quantifying advection-reaction-diffusion.

We present an algorithm for measuring the speed and thickness of reaction fronts, and from those quantities, the diffusivity and the reaction rate of the active chemical species. This front-tracking algorithm provides local measurements suitable for statistics and requires only a sequence of concentration fields. Though our eventual goal is front tracking in advection-reaction-diffusion, here w...

Large scale reaction front dynamics in anisotropic reaction-diffusion systems

A reaction-diffusion model for interference in meiotic crossing over.

One crossover point between a pair of homologous chromosomes in meiosis appears to interfere with occurrence of another in the neighborhood. It has been revealed that Drosophila and Neurospora, in spite of their large difference in the frequency of crossover points, show very similar plots of coincidence-a measure of the interference-against the genetic distance of the interval, defined as one-...

A Reaction-Diffusion System with Periodic Front Dynamics

A reaction-diffusion model motivated by Proteus mirabilis swarm colony development is presented and analyzed in this work. The principal variables are the concentrations of swarm cells and swimmer cells, which are multicellular and single-cell forms, respectively, of the Proteus mirabilis bacteria. The kinetic terms model the growth and division process of the swimmer cells, as well as the form...