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19952023
most citedPhase-Field Model of Mode III Dynamic Fracture

676 citations · 3.2k across the 68 of their papers we have counts for

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6 papers · 1 filter

patt-sol1998★ 156 cited

Self-organized Vortex State in Two-dimensional Dictyostelium Dynamics

Wouter-Jan Rappel, Alastair Nicol, Armand Sarkissian +2

We present results of experiments on the dynamics of Dictyostelium discoideum in a novel set-up which constraints cell motion to a plane. After aggregation, the amoebae collect int…

patt-sol1997★ 38 cited

Mutator Dynamics on a Smooth Evolutionary Landscape

David A. Kessler, Herbert Levine

We investigate a model of evolutionary dynamics on a smooth landscape which features a ``mutator'' allele whose effect is to increase the mutation rate. We show that the expected p…

patt-sol1997★ 7 cited

Unicellular algal growth: A biomechanical approach to cell wall dynamics

Royce Kam, Herbert Levine

We present a model for unicellular algal growth as motivated by several experiments implicating the importance of calcium ions and ``loosening'' enzymes in morphogenesis. A growing…

patt-sol1997

Diffusive Boundary Layers in the Free-Surface Excitable Medium Spiral

David A. Kessler, Herbert Levine

Spiral waves are a ubiquitous feature of the nonequilibrium dynamics of a great variety of excitable systems. In the limit of a large separation in timescale between fast excitatio…

patt-sol1995★ 3 cited

Front Stability in Mean Field Models of Diffusion Limited Growth

Douglas Ridgway, Herb Levine, Yuhai Tu

We present calculations of the stability of planar fronts in two mean field models of diffusion limited growth. The steady state solution for the front can exist for a continuous f…

patt-sol1995★ 93 cited

Aggregation Patterns in Stressed Bacteria

Lev Tsimring, Herbert Levine, Igor Aranson +3

We study the formation of spot patterns seen in a variety of bacterial species when the bacteria are subjected to oxidative stress due to hazardous byproducts of respiration. Our a…