Eden growth model

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The Eden growth model describes the growth of specific types of clusters such as bacterial colonies and deposition of materials. These clusters grow by random accumulation of material on their boundary. These are also an example of a surface fractal.[1] The model, named after Murray Eden, was first described in 1961 as a way of studying biological growth, and was simulated on a computer for clusters up to about 32,000 cells. By the mid-1980's, clusters with a billion cells had been grown, and a slight anisotropy had been observed. [2][3][4]

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  1. ^ Barabasi, Albert-Laszlo; Stanley, Harry Eugene (1995). Fractal Concepts in Surface Growth. Cambridge University Press. pp. 123–125. ISBN 0-521-48318-2. 
  2. ^ Eden, Murray (1961). "A two-dimensional growth process". Proceedings of Fourth Berkeley Symposium on Mathematics, Statistics, and Probability. 4. Berkeley: University of California Press. pp. 223–239. 
  3. ^ Kolb, Max; Botet, Robert; Jullien, Rémi (1983). "Scaling of kinetically growing clusters". Physical Review Letters. 51 (13): 1123–1126. Bibcode:1983PhRvL..51.1123K. doi:10.1103/PhysRevLett.51.1123. 
  4. ^ Wolfram, Stephen (2002). A New Kind of Science. Wolfram Media. ISBN 978-1579550080.