Abstract
The transient temperature rise at a bone/soft-tissue interface is an important quantity in the safety evaluation of procedures involving trains of high-intensity ultrasound pulses. Mathematical models based upon the time-averaged intensity of the pulse train can provide rapid estimates of the temperature rise, but are known to underestimate the temperature rise during the on-time of the pulse. This paper extends a previous analytical model to account for pulse shape, and provides error estimates for simulations employing time-averaged intensities. A simple analytic expression for the interface temperature that accounts for both bone and soft-tissue properties is provided. The analytic expression agrees well with temperature rise predictions based upon the finite-element method, when the insonation time is large compared to the pulse repetition period. In this case of large relative insonation time, the pulse shape is found to be inconsequential.
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