Improving Thermal Ablation of Liver Tumors
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.
- 1.Alnæs, M.S., Blechta, J., Hake, J., Johansson A., Kehlet, B., Logg, A., Richardson C., Ring J., Rognes, M. E., Wells, G. N.: The FEniCS Project Version 1.5. Arch. Numer. Softw. 3(100), 9–23 (2015)Google Scholar
- 3.Foundation for Research on Information Technologies in Society (IT’IS): Tissue Properties. https://itis.swiss/virtual-population/tissue-properties/database/heat-transfer-rate/. Cited 26 Sept 2018