Eden growth model

{{Short description|Discrete model for simulating natural growth processes}}

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.{{cite book |first=Albert-Laszlo |last=Barabasi |first2=Harry Eugene |last2=Stanley |title=Fractal Concepts in Surface Growth |publisher=Cambridge University Press |year=1995 |isbn=0-521-48318-2 |pages=123–125 |url=https://books.google.com/books?id=W4SqcNr8PLYC&pg=PA123 }} The model, named after Murray Eden, was first described in 1961{{Cite book|last=Landau|first=David P.|url=https://books.google.com/books?id=Olousqkx6qMC&pg=PA308|title=A Guide to Monte Carlo Simulations in Statistical Physics|last2=Binder|first2=Kurt|date=2000-08-17|publisher=Cambridge University Press|isbn=978-0-521-65366-4|page=308|language=en}} 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.{{cite book |first=Murray |last=Eden |chapter=A two-dimensional growth process |title=Proceedings of Fourth Berkeley Symposium on Mathematics, Statistics, and Probability |volume=4 |pages=223–239 |publisher=University of California Press |location=Berkeley |year=1961 |chapter-url=http://projecteuclid.org/euclid.bsmsp/1200512888 }}{{cite journal |first=Max |last=Kolb |first2=Robert |last2=Botet |first3=Rémi |last3=Jullien |title=Scaling of kinetically growing clusters |journal=Physical Review Letters |year=1983 |volume=51 |issue=13 |pages=1123–1126 |doi=10.1103/PhysRevLett.51.1123 |bibcode=1983PhRvL..51.1123K }}{{Cite book|last=Britain)|first=Royal Society (Great|url=https://books.google.com/books?id=RtoPAQAAMAAJ&q=Eden+murray|title=Biographical Memoirs of Fellows of the Royal Society|date=2007|publisher=The Society|isbn=978-0-85403-648-6|page=174|language=en}}