The problem of heat transfer with temperature control including a genetic algorithm for optimization of the process is studied in this work. The problem occurs in the cancer therapy called hyperthermia in which tissue around the tumor is heated to about 40 ºC by a set o antennas that involve the patient, with phase orientation and directed to a spot that receives heat due the incidence of electromagnetic waves. The problem o heat transfer in biosystems employs the Pennes' equation and Maxwell's equations for determining the electric and magnetic field. A two-dimensional model is studied with the Boundary Element Method including the Dual Reciprocity Method (DRBEM). The heterogeneity of the medium can be treated with the combination of various homogeneous media by the inclusion of sub-regions in the DRBEM. It is proposed a new approximating function for DRBEM to treat the domain effects of the integral equations related to Maxwell's and Pennes' equations in steady state, reduced to nonhomogeneous Helmholtz equations. The convergence of the function is evaluated in examples with simple geometry. The model was tested for a case with tumors in different depths been the results compared with the available literature.
Ao meu orientador, Prof. Dr. Leandro Palermo Junior, agradeço pelo incentivo e grande atenção dada durante a elaboração desse trabalho, o qual sem ele não seria possível. A meus amigos Pedro, Ingo e Bruno, que sempre me apoiaram nas horas boas e nas horas difíceis. A Faculdade de Engenharia Civil, Arquitetura e Urbanismo da Unicamp, pelas oportunidades a mim oferecidas desde a graduação. vi SUMÁRIO
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