TEMPERATURE-DEPENDENT VERSUS CONSTANT-RATE BLOOD PERFUSION MODELING IN FERROMAGNETIC THERMOSEED HYPERTHERMIA - RESULTS WITH A MODEL OF THE HUMAN PROSTATE
Dt. Tompkins et al., TEMPERATURE-DEPENDENT VERSUS CONSTANT-RATE BLOOD PERFUSION MODELING IN FERROMAGNETIC THERMOSEED HYPERTHERMIA - RESULTS WITH A MODEL OF THE HUMAN PROSTATE, International journal of hyperthermia, 10(4), 1994, pp. 517-536
Finite-element solutions to the Pennes bioheat equation are obtained w
ith a model of a tumour-containing, human prostate and surrounding nor
mal tissues. Simulations of ferromagnetic hyperthermia treatments are
conducted on the tissue model in which the prostate is implanted with
an irregularly spaced array of thermoseeds. Several combinations of th
ermoseed temperatures with different Curie points are investigated. No
n-uniform, constant-rate blood perfusion models are studied and compar
ed with temperature-dependent descriptions of blood perfusion. Blood p
erfusions in the temperature-dependent models initially increase with
tissue temperature and then decrease at higher temperatures. Simulatio
ns with temperature-dependent versus constant-rate blood perfusion mod
els reveal significant differences in temperature distributions in and
surrounding the tumour-containing prostate. Results from the simulati
ons include differences (between temperature-dependent and constant-ra
te models) in (1) the percentage of normal tissue volume and tumour vo
lume at temperatures > 42-degrees-C, and (2) temperature descriptors i
n the tumour (subscript t) and normal (subscript n) tissues including
T(max,t), T(min,t) and T(max,n). Isotherms and grey-scale contours in
the tumour and surrounding normal tissues are presented for four simul
ations that model a combination of high-temperature thermoseeds. Sever
al simulations show that T(min,t) is between 1.7 and 2.6-degrees-C hig
her and T(max,n) is between 2.1 and 3.3-degrees-C higher with a temper
ature-dependent versus a comparable constant-rate blood perfusion mode
l. The same simulations reveal that the percentages of tumour volume a
t temperatures > 42-degrees-C are between 0 and 68% higher with the te
mperature-dependent versus the constant-rate perfusion model over all
seed combinations studied. In summary, a numerical method is presented
which makes it possible to investigate temperature-dependent, continu
ous functions of blood perfusion in simulations of hyperthermia treatm
ents. Simulations with this numerical method reveal that the use of co
nstant-rate instead of temperature-dependent blood perfusion models ca
n be a conservative approach in treatment planning of ferromagnetic hy
perthermia.