27 citations · 92 across the 7 of their papers we have counts for
7 papers
Fluctuations and stability in front propagation
E. Khain, Y. T. Lin, L. M. Sander
Propagating fronts arising from bistable reaction-diffusion equations are a purely deterministic effect. Stochastic reaction-diffusion processes also show front propagation which c…
The Barrier Method: A Technique for Calculating Very Long Transition Times
David A. Adams, Leonard M. Sander, Robert M. Ziff
In many dynamical systems there is a large separation of time scales between typical events and "rare" events which can be the cases of interest. Rare-event rates are quite difficu…
The Harmonic Measure of Diffusion-Limited Aggregates including Rare Events
D. A. Adams, L. M. Sander, E. Somfai +1
We obtain the harmonic measure of diffusion-limited aggregate (DLA) clusters using a biased random-walk sampling technique which allows us to measure probabilities of random walker…
Pattern Formation of Glioma Cells: Effects of Adhesion
Evgeniy Khain, Casey M. Schneider-Mizell, Michal O. Nowicki +3
We investigate clustering of malignant glioma cells. \emph{In vitro} experiments in collagen gels identified a cell line that formed clusters in a region of low cell density, where…
SIS epidemics with household structure: the self-consistent field method
G. Ghoshal, L. M. Sander, I. M. Sokolov
We consider a stochastic SIS infection model for a population partitioned into households assuming random mixing. We solve the model in the limit by using the se…
Thermal noise and the branching threshold in brittle fracture
L. M. Sander, S. V. Ghaisas
Many studies have confirmed that cracks in brittle materials branch when the crack speed exceeds a certain threshold velocity, but the value of that threshold is not understood. Al…