Truncated SVD for Applications in Microwave Thermometry
Paper in proceeding, 2023

Microwave hyperthermia is a technique used to improve the therapeutic results of traditional cancer therapies. It consists of increasing the tumor temperature to the level of 40–44 ∘ C while keeping the surrounding healthy tissue at normal temperatures. It is hence fundamental to have a real-time temperature monitoring in order to adjust the focal point in the target. Mathematically, the problem of reconstructing the temperature change depending on measurements of scattered electric waves propagating in the material involves solving a volume integral equation. In order to solve it we construct a Tikhonov’s regularization functional and find optimal point of it. The paper analyzes performance of truncated singular value decomposition for 3D reconstruction of target during the process of microwave thermometry.

Hyperthermia

Microwave imaging

Inverse scattering

Ill-posed problem

TSVD

Electromagnetic volume integral equation

Tikhonov functional

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Eric Lindström

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

L. Frischauf

Universität Wien Institut für Mathematik

Daniel McKelvey

Chalmers, Electrical Engineering, Signal Processing and Biomedical Engineering

Springer Proceedings in Mathematics and Statistics

21941009 (ISSN) 21941017 (eISSN)

Vol. 429 143-165
9783031358708 (ISBN)

Annual workshops for Swedish Alumni Club of Japan Society for the Promotion of Science, JSPS/SAC 2021 and 2022
Virtual, Online, ,

Subject Categories

Computational Mathematics

Atom and Molecular Physics and Optics

Other Physics Topics

DOI

10.1007/978-3-031-35871-5_8

More information

Latest update

1/3/2024 9