(a) First convert the blood perfusion rate into a value with a unit of 1/s. The density and specific heat of blood are 1050 kg/m³ and 3800 J/kg°C, respectively. (b) The average tissue temperature is 45°C during the heating treatment. Calculate the value of the average volumetric heat generation rate represented by the blood perfusion term. What kind of roles does the blood play during hyperthermia treatment, i.e., carrying the heat away from the treatment site or adding energy to the treatment site? Please compare the calculated absolute value of the average strength of the perfusion source term to the external heating term (80000 W/m³) and the metabolic term (1000 W/m³). Can you neglect the effect of the blood perfusion during the hyperthermia treatment in your simulation? Can you neglect the metabolic heat generation during hyperthermia treatment?

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During hyperthermia treatments for certain diseases, heat is deposited in the tissue
via microwave heating. Write the general form of the Pennes bioheat equation for the treated
tissue volume. In the equation, please include the external heating term due to microwave
heating, the metabolic heat generation term, and the Pennes blood perfusion term. The local
blood perfusion in the tissue volume is 5 ml/(100g tissue min) given in typical medical textbooks.
(a) First convert the blood perfusion rate into a value with a unit of 1/s. The density and specific
heat of blood are 1050 kg/m³ and 3800 J/kg°C, respectively.
(b) The average tissue temperature is 45°C during the heating treatment. Calculate the value of
the average volumetric heat generation rate represented by the blood perfusion term. What kind
of roles does the blood play during hyperthermia treatment, i.e., carrying the heat away from the
treatment site or adding energy to the treatment site? Please compare the calculated absolute
value of the average strength of the perfusion source term to the external heating term (80000
W/m³) and the metabolic term (1000 W/m³). Can you neglect the effect of the blood perfusion
during the hyperthermia treatment in your simulation? Can you neglect the metabolic heat
generation during hyperthermia treatment?
Transcribed Image Text:During hyperthermia treatments for certain diseases, heat is deposited in the tissue via microwave heating. Write the general form of the Pennes bioheat equation for the treated tissue volume. In the equation, please include the external heating term due to microwave heating, the metabolic heat generation term, and the Pennes blood perfusion term. The local blood perfusion in the tissue volume is 5 ml/(100g tissue min) given in typical medical textbooks. (a) First convert the blood perfusion rate into a value with a unit of 1/s. The density and specific heat of blood are 1050 kg/m³ and 3800 J/kg°C, respectively. (b) The average tissue temperature is 45°C during the heating treatment. Calculate the value of the average volumetric heat generation rate represented by the blood perfusion term. What kind of roles does the blood play during hyperthermia treatment, i.e., carrying the heat away from the treatment site or adding energy to the treatment site? Please compare the calculated absolute value of the average strength of the perfusion source term to the external heating term (80000 W/m³) and the metabolic term (1000 W/m³). Can you neglect the effect of the blood perfusion during the hyperthermia treatment in your simulation? Can you neglect the metabolic heat generation during hyperthermia treatment?
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