Quantitative Studies in Diphtheria Prophylaxis: An Attempt to Derive a Mathematical Characterization of the Antigenicity of Diphtheria Prophylactic

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Abstract
The probit of the Schick conversion rate was found to plot linearly against log dose and the important constants were found to be the dose required to effect some arbitrary measure of response, the rate of increase with respect to log dose of the probit of the percentage of titers exceeding the arbitrary level and the standard deviation of logs of titers. For children, these constants should be determined for each type of prophylactic and should be calibrated in the field before adoption in the laboratory. Selected published data are analyzed and a relationship between percent Schick negative and geometric mean titer of antitoxin is derived.

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