Identification of the blood perfusion rate for laser-induced thermotherapy in the liver

DOI10.1186/s13362-020-00085-1zbMath1469.92056arXiv1910.09199OpenAlexW3036881643MaRDI QIDQ1980982

Christian Leithäuser, Norbert Siedow, Matthias Andres, Sebastian Blauth

Publication date: 9 September 2021

Published in: Journal of Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09199

zbMATH Keywords

parameter identificationPDE-constrained optimizationbio-heat equationblood perfusionLITT

Mathematics Subject Classification ID

Medical applications (general) (92C50) Technical applications of optics and electromagnetic theory (78A55)

Related Items

The stochastic finite volume method, Uncertainty modeling and propagation in linear kinetic equations, Numerical methods for high-dimensional kinetic equations, Mathematical Modeling and Simulation of Laser-Induced Thermotherapy for the Treatment of Liver Tumors, The Cattaneo Model for Laser-Induced Thermotherapy: Identification of the Blood-Perfusion Rate, On Online Parameter Identification in Laser-Induced Thermotherapy, Optimal control of the Sabatier process in microchannel reactors

Uses Software

• Gmsh
• PETSc
• FEniCS
• KELLEY

Cites Work

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• Optimization with PDE Constraints
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Projected gradient methods for linearly constrained problems
• On the Goldstein-Levitin-Polyak gradient projection method
• Numerical Optimization