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• W2333614518 abstract "Event Abstract Back to Event Adaptation of source grid parameters to improve the condition of the linear inverse problem for the estimation of magnetic nanoparticle distributions Roland Eichardt1*, Daniel Baumgarten1, 2, Frank Wiekhorst3 and Jens Haueisen4 1 University Hospital, Germany 2 Ilmenau University of Technology, Germany 3 Physikalisch-Technische Bundesanstalt, Germany 4 Technical University Ilmenau, Germany When solving the magnetostatic linear inverse problem to estimate nanoparticle distributions from magnetorelaxometry measurements, the condition of the related leadfield matrix L has great importance for the stability of the solution. The condition is considerably affected by the sensor configuration and the source grid that contains the dipoles to be estimated. Our objective is to determine grid parameters that provide a relatively high condition of L with respect to practical requirements. In this study, different 2D source grids and the PTB 304 SQUID vector magnetometer system are modelled as they are applied for reconstructions of magnetic nanoparticle distributions in practice. To investigate the influence of the grid on the condition of L, we varied the following grid parameters: number of sources, grid extension, directions of the dipolar sources and displacements of the grid below the sensor area. We used a modified condition number that incorporates information on all singular values to measure the condition of L. Our results indicate that the condition of L degrades by increasing the number of sources. For the overdetermined inverse problem the condition number is considerably improved when the number of sources is reduced. In case of an underdetermined problem, increasing the number of sources impairs the condition only slightly. If the grid extension is smaller than the sensor array, the condition number is clearly worse than for grids exceeding the sensor area. Furthermore, source dipoles directed towards the sensor array (Z direction) provide the best condition. A displacement of the grid with respect to the sensor array does not have a relevant effect. For our application we can conclude that the source grid should be 2–4 cm larger than the sensor area in each direction. Since our problem is usually underdetermined, the number of sources has a relatively small effect on the condition. The dipole orientations and thus the direction of the excitation field should not deviate more than 35° from the Z direction. Conference: Biomag 2010 - 17th International Conference on Biomagnetism , Dubrovnik, Croatia, 28 Mar - 1 Apr, 2010. Presentation Type: Poster Presentation Topic: Nanoparticles, Biosusceptometry and Effects of Magnetic Fields Citation: Eichardt R, Baumgarten D, Wiekhorst F and Haueisen J (2010). Adaptation of source grid parameters to improve the condition of the linear inverse problem for the estimation of magnetic nanoparticle distributions. Front. Neurosci. Conference Abstract: Biomag 2010 - 17th International Conference on Biomagnetism . doi: 10.3389/conf.fnins.2010.06.00406 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 09 Apr 2010; Published Online: 09 Apr 2010. * Correspondence: Roland Eichardt, University Hospital, Jena, Germany, Roland.Eichardt@tu-ilmenau.de Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Roland Eichardt Daniel Baumgarten Frank Wiekhorst Jens Haueisen Google Roland Eichardt Daniel Baumgarten Frank Wiekhorst Jens Haueisen Google Scholar Roland Eichardt Daniel Baumgarten Frank Wiekhorst Jens Haueisen PubMed Roland Eichardt Daniel Baumgarten Frank Wiekhorst Jens Haueisen Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page." @default.
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• W2333614518 title "Adaptation of source grid parameters to improve the condition of the linear inverse problem for the estimation of magnetic nanoparticle distributions" @default.
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