Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-23T04:49:49.628Z Has data issue: false hasContentIssue false
  • English
  • Français

Some birth-death and mutation models for phage reproduction

Published online by Cambridge University Press:  14 July 2016

J. Gani  and
G. F. Yeo
J. Gani
Affiliation:
Michigan State University
G. F. Yeo
Affiliation:
Yale University
Get access Rights & Permissions [Opens in a new window]

Extract

Several models for phage reproduction within a bacterium have recently been discussed by Steinberg and Stahl (1961), Gani (1962) and Ohlsen (1963); all are effectively birth-death type processes, with the first of these considering a single type of phage mutation. A detailed description of the biological processes involved may be found in Adams (1959), Weidel (1959), Sanders (1961) and Smith (1961). In this paper we shall consider some general models extending that of Steinberg and Stahl in which mutation may take place from normal a phages to mutant A phages.

Type
Research Papers
Information
Journal of Applied Probability , Volume 2 , Issue 1 , June 1965 , pp. 150 - 161
Copyright
Copyright © Sheffield: Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adams, M. H. (1959) Bacteriophages. Inter science Publishers, New York.CrossRefGoogle Scholar
Bartlett, M. S. (1955) An Introduction to Stochastic Processes. Cambridge U.P. Google Scholar
Gani, J. (1962) An approximate model for phage reproduction in a bacterium. J. Aust. Math. Soc. 2, 478–483.Google Scholar
Gani, J. (1962 a) A simple population model for phage reproduction. Bull. Math. Statist. 10, 1–3.Google Scholar
Gani, J. (1962b) The extinction of a bacterial colony by phages: a branching process with deterministic removals. Biometrika 49, 272–276.Google Scholar
Gani, J. (1963) Models for a bacterial growth process with removals. J. R. Statist. Soc. B 25, 140–149.Google Scholar
Ohlsen, S. (1963) Further models for phage reproduction in a bacterium. Biometrics 19, 441–449.Google Scholar
Sanders, F. K. (1961) The life of viruses. Penguin Science Survey 1961, 2, 147–159.Google Scholar
Smith, K. M. (1962) Viruses. Cambridge U.P. Google ScholarPubMed
Steinberg, C. and Stahl, F. (1961) The clone-size distribution of mutants arising from a steady-state pool of vegetative phage. J. Theor. Biol. 1, 488–497.Google Scholar
Weidel, W. (1959) Virus. The University of Michigan Press.Google Scholar