Abstract
In this paper we show how the methods of mathematical programming can be combined with models of biological systems to provide a different approach to the medical diagnosis problem through the use of computers. This is accomplished by tuning a mathematical model to fit a set of patient data by means of a modified version of the Davidon-Fletcher-Powell algorithm. The modification consists of imposing an orthogonality constraint on the direction vector and the gradient at an interpolated minimum. This modification then increases the speed of convergence by making more efficient use of each function evaluation. As an example of how this method is used diagnostically, the system of conducting airways was used. Here, by estimating the physiologic parameters associated with the nonlinear model of the conducting airways, a diagnostic characterization can be made.
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