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Quantitative reconstruction of a magnetic nanoparticle distribution using a non-negativity constraint

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Abstract
Magnetorelaxometry (MRX) is a non-invasive method for the specific quantification of magnetic nanoparticles (MNP). Here, we investigate experimentally the reconstruction of the MNP concentration in an extended volume. A phantom with varying but known MNP distribution was subsequently magnetized by 48 planar coils at different locations. The MRX signal was measured using the PTB 304 SQUID-magnetometer system. The inverse problem was solved by means of a non-negative least squares (NNLS) algorithm and compared to a minimum norm estimation (TSVD-MNE). The reconstruction by NNLS shows a deviation of the total MNP amount of less than 3 % (10% by TSVD-MNE). Hence, adapted non-invasive MRX methods can reliable reconstruct the MNP content in extended volumes.
Keywords
magnetic nanoparticles, spatial encoding, Magnetorelaxometry, inhomogeneous magnetizing fields, MAGNETORELAXOMETRY

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MLA
Liebl, Maik et al. “Quantitative Reconstruction of a Magnetic Nanoparticle Distribution Using a Non-negativity Constraint.” BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK 58.suppl. 1 (2013): n. pag. Print.
APA
Liebl, M., Steinhoff, U., Wiekhorst, F., Coene, A., Haueisen, J., & Trahms, L. (2013). Quantitative reconstruction of a magnetic nanoparticle distribution using a non-negativity constraint. BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK, 58(suppl. 1). Presented at the Dreiländertagung der Deutschen, Schweizerischen und Österreichischen Gesellschaft für Biomedizinische Technik [Tri-state conference of the German, Swiss and Austrian Society for Biomedical Technology] (BMT 2013).
Chicago author-date
Liebl, Maik, Uwe Steinhoff, Frank Wiekhorst, Annelies Coene, Jens Haueisen, and Lutz Trahms. 2013. “Quantitative Reconstruction of a Magnetic Nanoparticle Distribution Using a Non-negativity Constraint.” Biomedical Engineering-biomedizinische Technik 58 (suppl. 1).
Chicago author-date (all authors)
Liebl, Maik, Uwe Steinhoff, Frank Wiekhorst, Annelies Coene, Jens Haueisen, and Lutz Trahms. 2013. “Quantitative Reconstruction of a Magnetic Nanoparticle Distribution Using a Non-negativity Constraint.” Biomedical Engineering-biomedizinische Technik 58 (suppl. 1).
Vancouver
1.
Liebl M, Steinhoff U, Wiekhorst F, Coene A, Haueisen J, Trahms L. Quantitative reconstruction of a magnetic nanoparticle distribution using a non-negativity constraint. BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK. 2013;58(suppl. 1).
IEEE
[1]
M. Liebl, U. Steinhoff, F. Wiekhorst, A. Coene, J. Haueisen, and L. Trahms, “Quantitative reconstruction of a magnetic nanoparticle distribution using a non-negativity constraint,” BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK, vol. 58, no. suppl. 1, 2013.
@article{4151253,
  abstract     = {Magnetorelaxometry (MRX) is a non-invasive method for the specific quantification of magnetic nanoparticles (MNP). Here, we investigate experimentally the reconstruction of the MNP concentration in an extended volume. A phantom with varying but known MNP distribution was subsequently magnetized by 48 planar coils at different locations. The MRX signal was measured using the PTB 304 SQUID-magnetometer system. The inverse problem was solved by means of a non-negative least squares (NNLS) algorithm and compared to a minimum norm estimation (TSVD-MNE). The reconstruction by NNLS shows a deviation of the total MNP amount of less than 3 % (10% by TSVD-MNE). Hence, adapted non-invasive MRX methods can reliable reconstruct the MNP content in extended volumes.},
  author       = {Liebl, Maik and Steinhoff, Uwe and Wiekhorst, Frank and Coene, Annelies and Haueisen, Jens and Trahms, Lutz},
  issn         = {0013-5585},
  journal      = {BIOMEDICAL ENGINEERING-BIOMEDIZINISCHE TECHNIK},
  keywords     = {magnetic nanoparticles,spatial encoding,Magnetorelaxometry,inhomogeneous magnetizing fields,MAGNETORELAXOMETRY},
  language     = {eng},
  location     = {Graz, Austria},
  number       = {suppl. 1},
  pages        = {2},
  title        = {Quantitative reconstruction of a magnetic nanoparticle distribution using a non-negativity constraint},
  url          = {http://dx.doi.org/10.1515/bmt-2013-4261},
  volume       = {58},
  year         = {2013},
}

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