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On an extension of Gani's model for attachment of phages to bacteria

Published online by Cambridge University Press:  14 July 2016

B. R. Bhat
B. R. Bhat*
Affiliation:
Karnatak University, Dharwar
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Summary

In recent papers Yassky (1962) and Gani (1965) have considered respectively deterministic and stochastic models for the attachment of phages to bacteria. Following Brenner's (1965) conjecture they assumed that there is a maximum, S (say), to the number of phages that can be attached to a bacterium. In this note, Gani's (1965) results will be obtained starting from a different set of assumptions. This modification enables us to consider the case when S is a random variable, which probably is a more realistic assumption. Some remarks on the problem of estimation for the latter model are given in Section 3.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 3 , December 1968 , pp. 572 - 578
Copyright
Copyright © Applied Probability Trust 1968 

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References

Brenner, S. (1955) The adsorption of bacteriophage by sensitive and resistant cells of Escherichia coli strain B. Proc. Roy. Soc. B 144, 93–99.Google ScholarPubMed
Feller, W. (1957) An Introduction to Probability Theory and Its Applications. Vol. I (2nd Edition). Wiley.Google Scholar
Gani, J. (1965) Stochastic phage attachment to bacteria. Biometrics 21, 134–139.CrossRefGoogle Scholar
Gani, J. (1965) Stochastic models for bacteriophage. J. Appl. Prob. 2, 225–268.CrossRefGoogle Scholar
Kendall, D. G. (1958) On the generalized birth and death process. Ann. Math. Statist. 19, 643–652.Google Scholar
Patil, G. P. (1964) On a certain compound Poisson and compound binomial distributions. Sankhya (Series A) 26, 293–4.Google Scholar
Rao, C. R. and Rubin, H. (1964) On a characterization of the Poisson distribution. Sankhya (Series A) 26, 295–8.Google Scholar
Srivastava, Ramesh (1965) The estimation of the parameter in the stochastic model for phage attachment to bacteria. Ann. Math. Statist. 36, 729 (Abstract).Google Scholar
Yassky, D. (1962) A model for the kinetics of phage attachment to bacteria in suspension. Biometrics 18, 185–191.CrossRefGoogle Scholar