234 citations · 333 across the 9 of their papers we have counts for
4 papers · 1 filter
Fluctuation Induced Instabilities in Front Propagation up a Co-Moving Reaction Gradient in Two Dimensions
C. Scott Wylie, Herbert Levine, David A. Kessler
We study 2D fronts propagating up a co-moving reaction rate gradient in finite number reaction-diffusion systems. We show that in a 2D rectangular channel, planar solutions to the…
Front Propagation up a Reaction Rate Gradient
Elisheva Cohen, David A. Kessler, Herbert Levine
We expand on a previous study of fronts in finite particle number reaction-diffusion systems in the presence of a reaction rate gradient in the direction of the front motion. We st…
Fluctuation-regularized Front Propagation Dynamics
Elisheva Cohen, David A. Kessler, Herbert Levine
We introduce and study a new class of fronts in finite particle number reaction-diffusion systems, corresponding to propagating up a reaction rate gradient. We show that these syst…
Phase field approach for modeling intracellular dynamics
Julien Kockelkoren, Herbert Levine, Wouter-Jan Rappel
We introduce a phase field approach for diffusion inside and outside a closed cell with damping and with source terms at the interface. The method is compared to exact solutions (w…