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Curves formed by colonies of micro-organisms growing on a plane surface

Published online by Cambridge University Press:  31 October 2008

Agnes H. Waddell
Affiliation:
The University, Glasgow.
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Extract

In many cases, when a colony of micro-organisms such as moulds, yeasts or bacteria grows on the plane surface of a solid medium (e.g. agar), starting from a single cell, the colony tends to grow as an ever expanding circle. The reason for this is that every cell, if free from competition, can multiply at roughly a constant rate in all directions in a plane, limited by the fact that territory occupied by one cell cannot be occupied by another. For the purposes of the present discussion, we can assume, as a first approximation, that the whole process is two-dimensional.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1945

References

page 14 note 1 Pontecorvo, G. and Gemmell, A. R., Nature, 154 (1944), pp. 532–531CrossRefGoogle Scholar. “Colonies of Penicillium Notatum and other moulds as models for the study of population genetics.”

page 14 note 2 Shinn, L. E., Journal of Bacteriology, 38 (1939), pp. 512Google Scholar. “Factors governing the development of variational structures within bacterial colonies.”

page 16 note 1 Basset, A. B., Elementary Treatise on Cubic and Quartic Curves, Cambridge, 1901, p. 172.Google Scholar

page 16 note 2 Lamb, H., Infinitesimal Calculus, Cambridge, 1921, p. 320.Google Scholar

page 17 note 1 Lamb, H., loc. cit., p. 307.Google Scholar

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