Eg. Moros et al., EXPERIMENTAL EVALUATION OF 2 SIMPLE THERMAL MODELS USING HYPERTHERMIAIN MUSCLE IN-VIVO, International journal of hyperthermia, 9(4), 1993, pp. 581-598
The predictions from two simple field equation models for calculating
temperature distributions in tissue, namely, the Pennes' bioheat trans
fer equation (BHTE) and an effective thermal conductivity equation (ET
CE), were compared to in vivo experimental temperature measurements ma
de under hyperthermic conditions generated by scanned focused ultrasou
nd. The models were kept simple (i.e. homogenous isotropic properties,
no separate blood vessels included) in order to concentrate attention
on the predictive abilities of these field equations using a minimum
number of free parameters. Simulated results were fitted to the experi
mental data (multiple, linear temperature profiles in the thigh muscle
s of greyhound dogs) by minimizing a performance index using a golden
section searth. This search determined a value for the single free par
ameter in each model (blood perfusion in the BHTE, and effective therm
al conductivity in the ETCE) which minimized the square error differen
ce between the experimental and simulated temperatures. The results sh
owed that (a) the simple BHTE model could qualitatively reproduce the
major features of the temperature patterns seen experimentally better
than the ETCE model could, and (b) the simple BHTE model produced bett
er quantitative fits to the experimental data than did the simple ETCE
model. In addition, blood perfusion predictions from the BHTE model c
ompared well to measurements done with coloured microspheres. Finally,
the experimental results showed that individual, large blood vessels
appeared to have a major influence in producing asymmetries in the exp
erimental data in 21 % of the measured temperature profiles.