• Publications
  • Influence
Diffusion-limited aggregation, a kinetic critical phenomenon
A model for random aggregates is studied by computer simulation. The model is applicable to a metal-particle aggregation process whose correlations have been measured previously. Density correlationsExpand
  • 3,556
  • 48
  • PDF
Diffusion-limited aggregation
Diffusion-limited aggregation (DLA) is an idealization of the process by which matter irreversibly combines to form dust, soot, dendrites, and other random objects in the case where the rate-limitingExpand
  • 1,167
  • 23
  • PDF
Diffusion-limited aggregation: A kinetic critical phenomenon?
Diffusion-limited aggregation (DLA) is a model which represents noisy growth limited by diffusion. This process is quite common in nature and the simple algorithm gives a good representation of theExpand
  • 442
  • 21
  • PDF
Lithium inhibits invasion of glioma cells; possible involvement of glycogen synthase kinase-3.
Therapies targeting glioma cells that diffusely infiltrate normal brain are highly sought after. Our aim was to identify novel approaches to this problem using glioma spheroid migration assays.Expand
  • 119
  • 10
A mathematical model of glioblastoma tumor spheroid invasion in a three-dimensional in vitro experiment.
Glioblastoma, the most malignant form of brain cancer, is responsible for 23% of primary brain tumors and has extremely poor outcome. Confounding the clinical management of glioblastomas is theExpand
  • 205
  • 9
Fractal growth processes
  • L. Sander
  • Physics, Materials Science
  • Nature
  • 28 August 1986
TLDR
The methods of fractal geometry allow the classification of non-equilibrium growth processes according to their scaling properties. Expand
  • 257
  • 7
  • PDF
Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker-Planck Approximation
TLDR
We consider extinction times for a class of birth-death processes commonly found in applications, where there is a control parameter which defines a threshold. Expand
  • 160
  • 5
  • PDF
The micromechanics of three-dimensional collagen-I gels
TLDR
We study the micromechanics of collagen-I gel with the goal of bridging the gap between theory and experiment in the study of biopolymer networks. Expand
  • 130
  • 5
  • PDF
Percolation on heterogeneous networks as a model for epidemics.
We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bond strengths andExpand
  • 181
  • 4
  • PDF
Growth patterns of microscopic brain tumors.
Highly malignant brain tumors such as glioblastoma multiforme form complex growth patterns in vitro in which invasive cells organize in tenuous branches. Here, we formulate a chemotaxis model forExpand
  • 107
  • 4
  • PDF
...
1
2
3
4
5
...