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The '''Eden growth model''' describes the growth of specific types of clusters such as [[bacterial growth|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]].<ref>{{cite book |first=Albert-Laszlo |last=Barabasi |first2=Harry Eugene |last2=Stanley |title=Fractal Concepts in Surface Growth |location= |publisher=Cambridge University Press |year=1995 |isbn=0-521-48318-2 |pages=123–125 |url=https://books.google.com/books?id=W4SqcNr8PLYC&pg=PA123 }}</ref> The model |
The '''Eden growth model''' describes the growth of specific types of clusters such as [[bacterial growth|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]].<ref>{{cite book |first=Albert-Laszlo |last=Barabasi |first2=Harry Eugene |last2=Stanley |title=Fractal Concepts in Surface Growth |location= |publisher=Cambridge University Press |year=1995 |isbn=0-521-48318-2 |pages=123–125 |url=https://books.google.com/books?id=W4SqcNr8PLYC&pg=PA123 }}</ref> 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. <ref>{{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 |chapterurl=http://projecteuclid.org/euclid.bsmsp/1200512888 }}</ref><ref>{{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 }}</ref><ref>{{cite book | author=Wolfram, Stephen | authorlink=Stephen Wolfram | title=A New Kind of Science | year=2002 | publisher=[[Wolfram Media]] | isbn=978-1579550080 | ref=wolfram}}</ref> |
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==See also== |
==See also== |
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Revision as of 19:50, 26 February 2018
The Eden growth model describes the growth of specific types of clusters such as
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]
See also
References
- ISBN 0-521-48318-2.
- ^ 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.
{{cite book}}: External link in|chapterurl=|chapterurl=ignored (|chapter-url=suggested) (help) - .
- ISBN 978-1579550080.
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