Solution of the Inverse Bioheat Transfer Problem for the Detection of Tumors by Genetic Algorithms

  • Antonio Marcio Gonçalo Filho
  • Lucas Lagoa Nogueira
  • Joao Victor Caetano Silveira
  • Michelli Marlane Silva LoureiroEmail author
  • Felipe dos Santos Loureiro
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10405)


The problem of determining the size and location of a tumor situated underneath the skin by means of an inverse bioheat transfer analysis is considered in this article. The problem is posed by minimizing an error norm that considers the temperature information at the skin surface. Since Genetic Algorithms (GA’s) are powerful and versatile tools, a GA of steady–state type is implemented to solve the optimization problem originated from the inverse analysis. A finite element program based on the discretization of Pennes’ bioheat equation coupled with the Gmsh software is also developed to solve the set of direct problems required by the GA. A 2D numerical model is analyzed in order to demonstrate the effectiveness and robustness of the proposed approach.


Genetic Algorithm Pennes’ equation FEM Inverse problem 



The financial support provided by UFSJ, CNPq and FAPEMIG is greatly acknowledged.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Antonio Marcio Gonçalo Filho
    • 1
  • Lucas Lagoa Nogueira
    • 1
  • Joao Victor Caetano Silveira
    • 1
  • Michelli Marlane Silva Loureiro
    • 1
    Email author
  • Felipe dos Santos Loureiro
    • 2
  1. 1.Department of Computer ScienceFederal University of São João del-ReiSão João del-ReiBrazil
  2. 2.Department of Thermal and Fluid SciencesFederal University of São João del-ReiSão João del-ReiBrazil

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