Aproximation Error Model for State Estimation in the Radiofrequency Hyperthermia Treatment of Cancer

BARRETO ORLANDE, HELCIO R.; BERMEO VARON, LEONARDO ANTONIO; ELICABE, GUILLERMO E.

Las Vegas

Congreso; 2nd Thermal and Fluid Engineering Conference, TFEC 2017, 4th International Workshop on Heat Transfer, IWHT2017; 2017

ASTFE

The hyperthermia treatment of cancer induced by electromagnetic waves in the radiofrequency range, with nanoparticles loaded in the tumor region, has been recently gaining the interest of different research groups. As for other kinds of cancer therapy, a successful hyperthermia treatment requires appropriate and individualized planning for each patient, based not only on medical images but also on complex mathematical formulations of multiphysics problems. Such planning is required to avoid thermal damage to the healthy cells and is performed under conditions of large uncertainties caused, for example, by the large variability exhibited by thermophysical properties of human tissues, which can vary from individual to individual and even for the same individual under different physiological conditions. Moreover, temperature measurements might be available during the hyperthermia treatment, thus allowing that real-time numerical simulations under the effects of uncertainties be treated as a state estimation problem. In this paper, a reduced model is implemented for the solution of the state estimation problem, by statistically taking into account the errors between the complete and the reduced mathematical models with the application of the Approximation Error Model (AEM).