Principal moments of a multipole expansion to quantify the magnetic nanoparticle distributions in arteries
Wiekhorst F, Haberkorn W, Steinhoff U, Lyer S, Alexiou C, Baer M, Trahms L (2012)
Publication Type: Journal article
Publication year: 2012
Journal
Book Volume: 57
Pages Range: 751-754
Journal Issue: SUPPL. 1 TRACK-M
Abstract
We present a multipole based approach to model linearly extended nanoparticle distributions in an artery and to reconstruct these distributions from their distant magnetic field. The multipole moments of a spherical harmonic multipole expansion are evaluated for an arbitrary nanoparticle distribution in an artery magnetized perpendicular to its axis. It is shown that each multipole order is determined by only one principal multipole moment. All other possible moments of the respective multipole order can be related to the principal moment and carry the same information about the linear model. Consequently each multipole order is characterized by a typical field pattern. For both homogeneous and inhomogeneous nanoparticle distributions in the artery model the distribution parameters are determined from the principal multipole moments. © 2012 by Walter de Gruyter Berlin Boston.
Authors with CRIS profile
Stefan Lyer
Department of Otorhinolaryngology – Head and Neck Surgery
Christoph Alexiou
Professur für Nanomedizin
Involved external institutions
Germany (DE)How to cite
APA:
Wiekhorst, F., Haberkorn, W., Steinhoff, U., Lyer, S., Alexiou, C., Baer, M., & Trahms, L. (2012). Principal moments of a multipole expansion to quantify the magnetic nanoparticle distributions in arteries. Biomedizinische Technik, 57(SUPPL. 1 TRACK-M), 751-754. https://doi.org/10.1515/bmt-2012-4079
MLA:
Wiekhorst, Frank, et al. "Principal moments of a multipole expansion to quantify the magnetic nanoparticle distributions in arteries." Biomedizinische Technik 57.SUPPL. 1 TRACK-M (2012): 751-754.
BibTeX: Download