AN INVERSE MODEL FOR LOCATING SKIN TUMOURS IN 3D USING THE GENETIC ALGORITHM WITH THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD

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FABRICIO RIBEIRO BUENO
PAUL WILLIAM PARTRIDGE

Abstract

HERE, THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD IS USED TO SOLVE THE 3D PENNES  BIOHEAT EQUATION, WHICH TOGETHER WITH A GENETIC ALGORITHM, PRODUCES AN INVERSE MODEL CAPABLE OF OBTAINING THE LOCATION AND THE SIZE OF A TUMOUR, HAVING AS DATA INPUT THE TEMPERATURE DISTRIBUTION MEASURED ON THE SKIN SURFACE.

GIVEN THAT THE OBJECTIVE FUNCTION, WHICH IS SOLVED INVERSELY, INVOLVES THE DRBEM THE GENETIC ALGORITHM IN ITS USUAL FORM BECOMES SLOWER, IN SUCH A WAY THAT IT WAS NECESSARY TO DEVELOP FUNCTIONS BASED THE SOLUTION HISTORY IN ORDER THAT THE PROCESS BECOMES QUICKER AND MORE ACCURATE.

RESULTS FOR 8 EXAMPLES ARE PRESENTED INCLUDING CASES WITH CONVECTION AND RADIATION BOUNDARY CONDITIONS. CASES INVOLVING NOISE IN THE READINGS OF THE EQUIPMENT ARE ALSO CONSIDERED.

THIS TECHNIQUE IS INTENDED TO ASSIST HEALTH WORKERS IN THE DIAGNOSIS OF TUMOURS.

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FABRICIO RIBEIRO BUENO, PROGRAMA DE POS-GRADUAçãO EM ESTRUTURAS E CONSTRUçãO CIVIL, UNIVERSIDADE DE BRASíLIA

DOCTORATE STUDENT, DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING