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Optimization of Temperature Distributions for Regional Hyperthermia Based on a Nonlinear Heat Transfer Model a
Author(s) -
ERDMANN BODO,
LANG JENS,
SEEBASS MARTIN
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb10138.x
Subject(s) - maxima and minima , nonlinear system , hyperthermia , heat transfer , constant (computer programming) , process (computing) , perfusion , steady state (chemistry) , function (biology) , mechanics , materials science , thermodynamics , physics , mathematics , computer science , mathematical analysis , chemistry , medicine , evolutionary biology , cardiology , biology , quantum mechanics , meteorology , programming language , operating system
We describe an optimization process specially designed for regional hyperthermia of deep seated tumors in order to achieve desired steady‐state temperature distributions. A nonlinear three‐dimensional heat‐transfer model based on temperature‐dependent blood perfusion is applied to predict the temperature. Optimal heating is obtained by minimizing an integral object function which measures the distance between desired and model predicted temperatures. Sequential minima are calculated from successively improved constant‐rate perfusion models employing a damped Newton method in an inner iteration. Numerical results for a Sigma 60 applicator are presented.