CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Shape optimization for tumor location
Autor/es:
C. TURNER
Lugar:
Rio de Janeiro
Reunión:
Workshop; Non Linear waves; 2011
Institución organizadora:
IMPA, CNPq
Resumen:
In this work an estimation methodology to determine unknown geometrical parameters of an embedded
tumor is proposed. We defined a functional that represents the mismatch between a measured
experimental temperature profile, may be obtained by infrared thermography, at the skin surface and
the solution of an appropriate boundary problem. This functional is related with the geometrical
parameters through the solution of the boundary problem, in such a way that finding the minimum of
this functional form also means to find the unknown geometrical parameters of the embedded tumor.
The Barzilai and Borwein gradient method was implemented to solve the optimization problem of
finding the optimal geometric parameters and sensitivity analysis techniques couple with the adjoint
method were considered to compute the shape derivative of the functional.