The inverse problem of magnetorelaxometry imaging

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autor(en): Föcke J, Baumgarten D, Burger M
Zeitschrift: Inverse Problems
Jahr der Veröffentlichung: 2018
Band: 34
Heftnummer: 11
ISSN: 0266-5611


The aim of this paper is to provide a solid mathematical discussion of the inverse problem in magnetorelaxometry imaging (MRXI), a currently developed technique for quantitative biomedical imaging using magnetic nanoparticles. We provide a detailed discussion of the mathematical modeling of the forward problems including possible ways to magnetically activate the particles and measure its magnetic response, leading to a severely ill-posed linear inverse problem. Moreover, we formulate an idealized version of the inverse problem for infinitesimal small activation coils, which allows for a more detailed analysis of uniqueness issues.We propose a variational regularization approach to compute stable approximations of the solution and discuss its discretization and numerical solution. Results on synthetic data are presented and improvements to methods used previously in practice arc demonstrated.

FAU-Autoren / FAU-Herausgeber

Burger, Martin Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Föcke, Janic
Lehrstuhl für Angewandte Mathematik

Autor(en) der externen Einrichtung(en)
UMIT - Private Universität für Gesundheitswissenschaften, Medizinische Informatik und Technik GmbH


Föcke, J., Baumgarten, D., & Burger, M. (2018). The inverse problem of magnetorelaxometry imaging. Inverse Problems, 34(11).

Föcke, Janic, Daniel Baumgarten, and Martin Burger. "The inverse problem of magnetorelaxometry imaging." Inverse Problems 34.11 (2018).


Zuletzt aktualisiert 2019-15-04 um 13:10