The invention provides for a medical apparatus (500, 700, 800) comprising a high intensity focused ultrasound system (506). The medical apparatus further comprises a memory (550) for storing machine executable instructions (560, 562) for execution by a processor (544). Execution of the instructions cause the processor to: receive (100, 200, 304) previous sonication data (522) descriptive of a previous sonication of the subject construct (102, 202, 306) a thermal property map (554) of the subject using the previous sonication data and a thermoacoustic model (562) determine (104, 204, 308) a maximum energy map (556) using the thermoacoustic model and the thermal property map, wherein the maximum energy is time dependent display (106, 206, 310) the maximum energy map on a display (672) and receive (108, 208, 312) a selection of at least one thermoacoustic model and thermal property map sonication volume (580, 582) from a user interface (570).