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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
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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
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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
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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
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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
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Fractal growth processes
  • L. Sander
  • Physics, Materials Science
  • Nature
  • 28 August 1986
The methods of fractal geometry allow the classification of non-equilibrium growth processes according to their scaling properties. Expand
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Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker-Planck Approximation
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
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The micromechanics of three-dimensional collagen-I gels
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
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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
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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
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