Computer Modeling of Tumor Hyperthermia (A Dynamic Lumped Parameter Model)
The thermal behavior of normal and neoplastic tissue is modeled by a set of coupled ordinary differential equations. The equations lump the tissue and tumor into individual compartments, so that the equations are time dependent. These equations represent an initial step in the development of a comprehensive model which may be used in studying the dynamics and control of the system under normo-and hyperthermic conditions.
KeywordsMicrowave Radiation Neoplastic Tissue Lump Parameter Model IEEE Proceeding Viable Region
Surface area of the tumor, = 4πr2 1, (cm2)
Specific heat of the blood = 0.87 cal/gm-blood/°C.
Specific heat of the tumor = 0.75 cal/gm-tumor/°C.
Specific heat of the tissue = 0.86 cal/gm-tissue/°C.
Convective conductance between the tumor and tissue = 1.3563 × 10−4 cal/cm2/sec/°C.
Volumetric blood flow rate through the tumor, (cm3-blood/cm3-tumor/sec).
Volumetric blood flow rate through the tissue (cm/3-blood/cm3-tissue/sec).
Dimensionless inlet blood temperature to the tumor = 0.0.
Dimensionless inlet blood temperature to the tissue = 0.0.
Dimensionless exit blood temperature from the tumor = T*1.
Dimensionless exit blood temperature fron the tissue = T*2.
Dimensionless tumor temperature.
Dimensionless tissue temperature.
Maximum hyperthermic temperature = 45.0°C.
Normal body temperature = 37.0°C.
Fundamental unit of time = 60.0 sec.
Tumor radius = 1.1 cm.
Tissue outer radius, = 1.5 cm.
Tumor volume = 4/3 πr3 1.
Tissue volume = 4/3 π (r3 2 - r3 1 ).
Tumor density = 0.98 gm-tumor/cm3-tumor.
Tissue density = 0.99 gm-tissue/cm3-tissue.
Blood denisty =1.0 gm-blood/cm3-blood.
Level of radiation to the tumor = 0.035 cal/cm3-tumor/sec.
Level of radiation to the tissue = 0.038 cal/cm3-tissue/sec.
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