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Interpreting the magnetorelaxometry signal of suspended magnetic nanoparticles with Kaczmarz’ algorithm

Jonathan Leliaert UGent, Daniel Schmidt, Oliver Posth, Maik Liebl, Dietmar Eberbeck, Annelies Coene UGent, Uwe Steinhoff, Frank Wiekhorst, Bartel Van Waeyenberge UGent and Luc Dupré UGent (2017) JOURNAL OF PHYSICS D-APPLIED PHYSICS. 50(19).
abstract
Magnetic nanoparticles in colloidal dispersions are important for biomedical applications like magnetic drug targeting, magnetic particle hyperthermia, and several imaging applications. For a physical understanding of these applications, the particles' hydrodynamic size distribution should be well characterized. Magnetorelaxometry is a fast method to determine this property, but until now had the drawback that a priori information, like a functional form of the expected size distribution, was necessary. Following recent advances, where Kaczmarz' algorithm was used to determine the core size distribution from static magnetization curves without any such assumptions, we present a similar study for the determination of the hydrodynamic size distribution. Here, the performance of several implementations of Kaczmarz' algorithm are investigated for both simulated and measured magnetorelaxometry data. Our results show that this method is able to determine the hydrodynamic size distribution in agreement with either the known input distribution, in the case of simulated data, or other size estimates determined with different methods such as thermal magnetic noise spectroscopy and dynamic light scattering in the case of measured data.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
magnetorelaxometry, size distribution, Kaczmarz algorithm, magnetic nanoparticles, SIZE DISTRIBUTION, BIOMEDICAL APPLICATIONS, ELECTRON-MICROSCOPY, PARTICLE, FERROFLUIDS, RELAXATION, BEHAVIOR, SYSTEMS, DOMAIN
journal title
JOURNAL OF PHYSICS D-APPLIED PHYSICS
J. Phys. D-Appl. Phys.
volume
50
issue
19
article number
195002
pages
8 pages
Web of Science type
Article
Web of Science id
000400088000001
ISSN
0022-3727
1361-6463
DOI
10.1088/1361-6463/aa695d
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
8518663
handle
http://hdl.handle.net/1854/LU-8518663
date created
2017-04-25 21:39:28
date last changed
2017-09-18 12:33:46
@article{8518663,
  abstract     = {Magnetic nanoparticles in colloidal dispersions are important for biomedical applications like magnetic drug targeting, magnetic particle hyperthermia, and several imaging applications. For a physical understanding of these applications, the particles' hydrodynamic size distribution should be well characterized. Magnetorelaxometry is a fast method to determine this property, but until now had the drawback that a priori information, like a functional form of the expected size distribution, was necessary. Following recent advances, where Kaczmarz' algorithm was used to determine the core size distribution from static magnetization curves without any such assumptions, we present a similar study for the determination of the hydrodynamic size distribution. Here, the performance of several implementations of Kaczmarz' algorithm are investigated for both simulated and measured magnetorelaxometry data. Our results show that this method is able to determine the hydrodynamic size distribution in agreement with either the known input distribution, in the case of simulated data, or other size estimates determined with different methods such as thermal magnetic noise spectroscopy and dynamic light scattering in the case of measured data.},
  articleno    = {195002},
  author       = {Leliaert, Jonathan and Schmidt, Daniel and Posth, Oliver and Liebl, Maik and Eberbeck, Dietmar and Coene, Annelies and Steinhoff, Uwe and Wiekhorst, Frank and Van Waeyenberge, Bartel and Dupr{\'e}, Luc},
  issn         = {0022-3727},
  journal      = {JOURNAL OF PHYSICS D-APPLIED PHYSICS},
  keyword      = {magnetorelaxometry,size distribution,Kaczmarz algorithm,magnetic nanoparticles,SIZE DISTRIBUTION,BIOMEDICAL APPLICATIONS,ELECTRON-MICROSCOPY,PARTICLE,FERROFLUIDS,RELAXATION,BEHAVIOR,SYSTEMS,DOMAIN},
  language     = {eng},
  number       = {19},
  pages        = {8},
  title        = {Interpreting the magnetorelaxometry signal of suspended magnetic nanoparticles with Kaczmarz{\textquoteright} algorithm},
  url          = {http://dx.doi.org/10.1088/1361-6463/aa695d},
  volume       = {50},
  year         = {2017},
}

Chicago
Leliaert, Jonathan, Daniel Schmidt, Oliver Posth, Maik Liebl, Dietmar Eberbeck, Annelies Coene, Uwe Steinhoff, Frank Wiekhorst, Bartel Van Waeyenberge, and Luc Dupré. 2017. “Interpreting the Magnetorelaxometry Signal of Suspended Magnetic Nanoparticles with Kaczmarz’ Algorithm.” Journal of Physics D-applied Physics 50 (19).
APA
Leliaert, J., Schmidt, D., Posth, O., Liebl, M., Eberbeck, D., Coene, A., Steinhoff, U., et al. (2017). Interpreting the magnetorelaxometry signal of suspended magnetic nanoparticles with Kaczmarz’ algorithm. JOURNAL OF PHYSICS D-APPLIED PHYSICS, 50(19).
Vancouver
1.
Leliaert J, Schmidt D, Posth O, Liebl M, Eberbeck D, Coene A, et al. Interpreting the magnetorelaxometry signal of suspended magnetic nanoparticles with Kaczmarz’ algorithm. JOURNAL OF PHYSICS D-APPLIED PHYSICS. 2017;50(19).
MLA
Leliaert, Jonathan, Daniel Schmidt, Oliver Posth, et al. “Interpreting the Magnetorelaxometry Signal of Suspended Magnetic Nanoparticles with Kaczmarz’ Algorithm.” JOURNAL OF PHYSICS D-APPLIED PHYSICS 50.19 (2017): n. pag. Print.