We derived analytical steady-state and transient solutions for a sphere and a SAR source with uniform and the Gaussian distribution located in an infinite medium of homogeneous properties. The results obtained analytically showed that even without taking into account blood perfusion (i) if power deposition is present only in a sphere that encloses 10 gram of human tissue and SAR10g=10W/kg the steady-state temperature rise is below 3°C for power deposition distributions as sharp as Gaussian with σ=R/3=4.33mm, (ii) the sharper the Gaussian distribution of power deposition, the higher Tmax(t=+∞) and the faster it will approach steady-state.
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