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An approximate stochastic model for phage reproduction in a bacterium

Published online by Cambridge University Press:  09 April 2009

J. Gani
J. Gani
Affiliation:
Australian National University, Canberra, A.C.T., Australia.
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The stochastic birth-death process considered in this paper provides an approximate model for phage reproduction in a bacterium. In a recent paper, Hershey [1] has discussed reproduction and recombination in phage crosses, and a deterministic model for the reproductive process has been the subject of a previous note by the author [2]. A very readable account of the process is given by Sanders [3] in his recent article, “The life of viruses”.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 4 , December 1962 , pp. 478 - 483
Copyright
Copyright © Australian Mathematical Society 1962

References

[1]Hershey, A. D., The production of recombinants in phage crosses. Cold Spring Harbor Symposia on Quantitative Biology 23 (1958), 19–46.Google Scholar
[2]Gani, J., A simple population model for phage reproduction. Bull. Math. Statist. (to appear).Google Scholar
[3]Sanders, F. K., The life of viruses. Penguin Science Survey 1961, 2, 147–159.Google Scholar
[4]Kendall, D. G., On the generalized ‘brith-and-death’ process. Ann. Math. Statist. 19 (1948), 1–15.Google Scholar
[5]Bartlett, M. S., Equations for stochastic path integrals. Proc. Camb. Phil. Soc. 57 (1961), 568–573.Google Scholar
[6]Bellman, R. and Harris, T.On age-dependent binary branching processes. Ann. of Math. 55 (1952), 280–295.Google Scholar