Mathematical and Computational Supplement to“Multicomponent,single target vaccines: benefits and limitations for practical vaccine design derived from mathematical models”

The document is part of an R package that allows reproducible research as discussed in Gentleman (2005) and Gentleman and Temple Lang (2007). With this package, called hbim, a researcher can redo all the calculations done to produce the figures in the main paper. Further one can extract the R computer code used to create those Figures and modify it as desired. Here is an outline of this document. The main part of the document gives the overall details of the calculations in mathematical notation, while Appendix A gives the details of the computer programs used in R package. In Section 2 we define the 95% range and 95% fold-range. This is a simple function of the standard deviation of the log of the transformed antibody responses, denoted σ. In Section 3 we give the algorithm for estimating σ (the standard deviation of the log transformed responses) from the 95% confidence interval of the mean. In Section 4 we show how we calculate the relative risk and the expected relative risk. In Section 5 we show how we calculate the percent protected from this model. Appendix A gives details of how the calculations were done, and information on how to redo the calculations in the R programming language using the hbim package. R is an open source freeware statstical