Necrosis evolution during high-temperature hyperthermia through implanted heat sources.
A nonstationary model for high-temperature hyperthermic treatments is developed. The aim of this model is to describe the thermal propagation within a living tissue and to quantify its clinical effects as it regards the physiological status (necrosis) of a neoplastic body. Particular attention is turned to the description of the necrotic transition induced by heating. This leads to the introduction of a necrosis field and to an effective-medium approximation for the corresponding physiological status (vascularization, necrosis, etc.) of the exposed tissue. The resulting nonlinear, nonstationary model is applied to a multilayered spherical structure with a temperature-regulated implant, and to a clinical case of a solid liver tumor. Clinical data on the spatial extent of the necrotized region are in good agreement with model predictions.
Badini
Paolo
P
RFI SpA (Italian Railway Society), 00184 Rome, Italy.
De Cupis
Peter
P
Gerosa
Giorgio
G
Giona
Massimiliano
M
D003198:Computer Simulation; D006358:Hot Temperature / Q000627:therapeutic use*; D006801:Humans; D006979:Hyperthermia, Induced / Q000379:methods*; D008113:Liver Neoplasms / Q000473:pathology / Q000503:physiopathology / Q000628:therapy; D008954:Models, Biological; D009336:Necrosis; D009369:Neoplasms / Q000473:pathology / Q000503:physiopathology* / Q000628:therapy*; D017711:Nonlinear Dynamics; D019736:Prostheses and Implants; D012680:Sensitivity and Specificity; D013269:Stochastic Processes; D013696:Temperature; D013813:Therapy, Computer-Assisted / Q000379:methods