Estimating the heat source and the heat transfer coefficient simultaneously in a living tissue by conjugate gradient method

In this study, inverse methodology is applied to estimate the controllable parameters in hyperthermia such as the external heat source and the heat transfer coefficient at the skin surface. The direct problem is solved by the fully implicit finite volume method to obtain the temperature data. This data is used as additional information to estimate the external heat source and the heat transfer coefficient at the skin surface simultaneously. Both of these parameters are considered as functions of time, and since no information exists about their functional form, the problem is classified as the function estimation method. Conjugate gradient method is applied and the comparison of estimated data with measurements confirms the accuracy of this method.