Comparison of Attenuation Coefficient Estimation in High Intensity Focused Ultrasound Therapy for Cancer Treatment by Levenberg Marquardt and Gauss-Newton Methods

Parameter estimation in high‐intensity focused ultrasound therapy

“…Regarding the absorption coefficient ( α ), the estimated value of 19.8007 m −1 for Case 1 and 19.8043 m −1 for Case 2 have a good agreement with the values obtained through LM (19.7876 m −1 ) and GN (19.8060 m −1 ) presented in Reference [5]. Moreover, the interval values for both cases of the present study are lower compared to the values obtained by Levenberg–Marquart and Gauss–Newton, which is due to the higher number of samples in MCMC, indicating a better performance of the method.…”

“…Moreover, the interval values for both cases of the present study are lower compared to the values obtained by Levenberg–Marquart and Gauss–Newton, which is due to the higher number of samples in MCMC, indicating a better performance of the method. It is important to mention that in, 5 a single parameter is estimated considering the remaining parameters as constants. In References [6, 7] the absorption coefficient and the perfusion rate were estimated and then used to calculate the thermal diffusivity, thus performing an independent process.…”

“…High‐Intensity Focused Ultrasound (HIFU) is a promising method that uses an ultrasound transducer to perform hyperthermia by focusing the energy transducer on a specific area 1–23 . This procedure can be performed without anesthesia and on an outpatient basis because it is possible to adjust the frequency and the intensity of the transducer, as well as the duration of treatment exposure.…”

“…The work includes the study of the operating parameters and the modulation of acoustic energy by optimizing the thermal energy of each lesion. In 5 the absorption coefficient is estimated by Levenberg Marquardt and Gauss‐Newton algorithms, which provided good performance in the estimation process. The remaining parameters were assumed as constants.…”

“…[29][30][31][32][33][34] In hyperthermia therapy by electromagnetic waves, mainly radiofrequency, [35][36][37][38][39][40][41][42][43] microwave [44][45][46] near-infrared or laser, [47][48][49][50][51][52][53][54] and by ultrasound. [4][5][6][7][8][9] It is observed the effectiveness of different optimization techniques, their correlation with mathematical models and with experimental measurements, concluding that it is possible to use these techniques to estimate the parameters, the behavior, and the performance of the cancer treatment by hyperthermia.…”