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. Author manuscript; available in PMC: 2019 Feb 6.
Published in final edited form as: Int J Hyperthermia. 2018 Oct 15;35(1):578–590. doi: 10.1080/02656736.2018.1513168

Table 1.

Parameters for acoustic and thermal simulations and their uncertainties for Monte Carlo analysis.

Simulation parameter Symbol Phantom type (% milk) Mean (µ) Measurement uncertainty σXj Uncertainty determination
Acoustic power (W) P 6.3 1.05% Error propagation of force balance-measured efficiency and reported experimental transducer electrical output
7.9
Acoustic attenuation (Np/cm @ 1 MHz) α 10% 0.015 16% Difference between through-transmission and radiation force balance measurements (n = 3)
30% 0.027
50% 0.042
70% 0.053
Speed of sound (m/s) c 10% 1540.0 0.10% Standard deviation of experimental measurement
30% 1552.0
50% 1560.3
70% 1571.7
Density (kg/m3) ρ 10% 1022 0.8% Standard deviation of experimental measurement
30% 1050
50% 1040
70% 1050
Volumetric heat capacity (kJ/m3·°C) VHC 10% 3404 10% Manufacturer reported error of measurement device
30% 3361
50% 3371
70% 3381
Thermal conductivity (W/m·°C) κ 10% 0.554 10% Manufacturer reported error of measurement device
30% 0.545
50% 0.565
70% 0.525