A Model for the Kinetics of Phage Attachment to Bacteria in Suspension

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Abstract
For a system composed of a mixture of 2 suspensions, one of bacteria and the other of phage particles, some approximate kinetic relations are assumed. The ensueing differential equations are solved recursively, yielding a time dependent distribution of the bacteria according to the number of phage particles attached to each of them. This distribution contains no arbitrary parameters. Three linear permissible extrema of two of the parameters are shown to lead to the Binomial, the Geometric and the Poisson distribution as particular or limiting cases.

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