Comparison of Methods for Modeling Uncertainties in a 2D Hyperthermia Problem

Damien Voyer (1) , François Musy (2) , Laurent Nicolas (1) , Ronan Perrussel (1)

1 AMPERE - Ampère
2 ICJ - Institut Camille Jordan

Uncertainties in biological tissue properties are weighed in the case of a hyperthermia problem. Statistic methods, experimental design and kriging technique, and stochastic methods, spectral and collocation approaches, are applied to analyze the impact of these uncertainties on the distribution of the electromagnetic power absorbed inside the body of a patient. The sensitivity and uncertainty analyses made with the different methods show that experimental designs are not suitable in this kind of problem and that the spectral stochastic method is the most efficient method only when using an adaptative algorithm.

Mots clés: adaptive sparse grid; numerical dosimetry; stochastic method

Domaines: Electromagnétisme; Modélisation et simulation

Damien Voyer, François Musy, Laurent Nicolas, Ronan Perrussel. Comparison of Methods for Modeling Uncertainties in a 2D Hyperthermia Problem. Progress In Electromagnetics Research, 2009, 11, pp.189--204 (in PIERB). ⟨10.2528/PIERB08112104⟩. ⟨hal-00320018⟩