Improving Thermal Ablation of Liver Tumors

  • Matthias AndresEmail author
  • René Pinnau
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 30)


Laser-induced interstitial thermotherapy (LITT) is a medical treatment which attempts to destroy liver tumors by thermal ablation. A realistic real-time simulation shall support the practitioner online in planning the therapy. The heat transfer inside the liver can be described by a PDE system consisting of the so-called bio-heat equation and a radiative transfer model. We model the heat loss due to blood perfusion by a simple sink term with spatially varying coefficient accounting for the presence of vessels. Using PDE-constrained optimization we demonstrate how to fit this parameter in order to minimize the deviation between the predicted and measured temperature.



The authors are grateful for the support of the German Federal Ministry of Education and Research (BMBF) grant no. 05M16UKE.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Technische Universität KaiserslauternDepartment of MathematicsKaiserslauternGermany

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