Determining optimal conditions for administering an antibacterial drug (Q1088602)

The problem of determining optimal doses and times is posed in the form of four related problems, each equivalent to well-known minimization problems. Each, however, has different characteristics concerning the ease of solution, and the sensitivity of the solution to perturbations of the parameters. In two of the problems, techniques of ill-posed extremal problems must be used [see \textit{A. N. Tikhonov} and \textit{V. Ya. Arsenin}, Solutions of ill-posed problems. Wiley and Sons (1977); for a review of the Russian original see Zbl 0309.65002]. An example is provided deriving optimal doses for te drug 5-NOK used in treating chronic pyelonephritis.