Abstract
A numerical procedure to calculate and control transient temperature profiles in plane multilayered biological tissue is described. To express the temperature increase in the normal and neoplastic tissue as a function of time-varying incident microwave heating and artificial surface cooling, a semi-discrete finite difference method is used. Two optimization algorithms are applied in order to achieve and maintain a prescribed temperature pattern. They suggest the extent to which the tissue heating profiles can be experimentally controlled. Several examples are included to illustrate the performance of the algorithms.