Models for a Bacterial Growth Process with Removals
Abstract
The paper considers the extinction of a bacterial colony subject to phage infection. A description of the biological process leads to the construction of a simplified model from which it is possible to derive the probability generating function (p.g.f.) for surviving bacteria in terms of repeated contour integrals. The distributions of phage offspring released by a single bacterium, and of bacterial infections due to these phages, are discussed. For bacterial birth and birth-death processes, it is possible to express the p.g.f. for surviving bacteria explicitly; this is done by first obtaining the p.g.f. conditional on numbers of bacterial infections, and then summing over all such possible infections.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1963
- Source ID
- 10.1111/j.2517-6161.1963.tb00494.x
Entities
People
- J. Gani
Organizations
- Australian National University
- Office of Naval Research