Fundamental solutions to the bioheat equation and their application to magnetic fluid hyperthermia

Figures & data

Figure 1. Transient temperature profile for a shell source. Steady state is reached for t ∼ 90 min.

Table I.  Thermal conductivity of some tissues [12].

Tissue	Thermal conductivity (W/m K)
Tumour periphery	0.511
Tumour core	0.561
Colon cancer	0.545
Bone	0.41–0.63
Blood
Pure water	0.627

Figure 2. Agreement between Andrä et al. solution and the solution for the same problem obtained using the fundamental solution (15) and the GSFE (16). A uniform heat generation of intensity is confined in a spherical region of 3.15 mm and a unique value for the thermo-physical properties is used. .

Figure 3. Influence of blood perfusion in the steady-state temperature profile.

Diller KR, Valvano JW, Pearce JA. Bioheat transfer. The CRC Handbook of Thermal Engineering, F Kreith, K Timmerhaus, N Lior, H Shaw, RK Shah, KJ Bell. CRC Press, Boca Raton 2000; 114–187

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