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. 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-1980s, clusters with a billion cells had been grown, and a slight anisotropy had been observed.
See also
References
- Barabasi, Albert-Laszlo; Stanley, Harry Eugene (1995). Fractal Concepts in Surface Growth. Cambridge University Press. pp. 123–125. ISBN 0-521-48318-2.
- Landau, David P.; Binder, Kurt (2000-08-17). A Guide to Monte Carlo Simulations in Statistical Physics. Cambridge University Press. p. 308. ISBN 978-0-521-65366-4.
- Eden, Murray (1961). "A two-dimensional growth process". Proceedings of Fourth Berkeley Symposium on Mathematics, Statistics, and Probability. Vol. 4. Berkeley: University of California Press. pp. 223–239.
- 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.
- Britain), Royal Society (Great (2007). Biographical Memoirs of Fellows of the Royal Society. The Society. p. 174. ISBN 978-0-85403-648-6.
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