references.bib

@article{bedantaSupermagnetism2009,
  title = {Supermagnetism},
  author = {Bedanta, Subhankar and Kleemann, Wolfgang},
  date = {2009-01-07},
  journaltitle = {Journal of Physics D: Applied Physics},
  shortjournal = {J. Phys. D: Appl. Phys.},
  volume = {42},
  pages = {013001},
  issn = {0022-3727, 1361-6463},
  doi = {10.1088/0022-3727/42/1/013001},
  url = {https://iopscience.iop.org/article/10.1088/0022-3727/42/1/013001},
  urldate = {2020-11-24},
  abstract = {An ensemble of nanoparticles in which the inter-particle magnetic interactions are sufficiently weak shows superparamagnetic behaviour as described by the Ne´el–Brown model. On the contrary, when inter-particle interactions are non-negligible, the system eventually shows collective behaviour, which overcomes the individual anisotropy properties of the particles. At sufficiently strong interactions a magnetic nanoparticle ensemble can show superspin glass (SSG) properties similar to those of atomic spin glass systems in bulk. With a further increase in concentration, but still below physical percolation, sufficiently strong interactions can be experienced to form a superferromagnetic (SFM) state. SFM domains in a non-percolated nanoparticle assembly are expected to be similar to conventional ferromagnetic domains in a continuous film, with the decisive difference that the atomic spins are replaced by the superspins of the single-domain nanoparticles. In this review we highlight the most important developments in the field of supermagnetism, which comprises three fascinating subjects: superparamagnetism, SSG and superferromagnetism.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\IVNQ3J59\\Bedanta und Kleemann - 2009 - Supermagnetism.pdf},
  langid = {english},
  number = {1}
}

@article{dadfarSizeisolationSuperparamagneticIron2020,
  title = {Size-Isolation of Superparamagnetic Iron Oxide Nanoparticles Improves {{MRI}}, {{MPI}} and Hyperthermia Performance},
  author = {Dadfar, Seyed Mohammadali and Camozzi, Denise and Darguzyte, Milita and Roemhild, Karolin and Varvarà, Paola and Metselaar, Josbert and Banala, Srinivas and Straub, Marcel and Güvener, Nihan and Engelmann, Ulrich and Slabu, Ioana and Buhl, Miriam and van Leusen, Jan and Kögerler, Paul and Hermanns-Sachweh, Benita and Schulz, Volkmar and Kiessling, Fabian and Lammers, Twan},
  date = {2020-12},
  journaltitle = {Journal of Nanobiotechnology},
  shortjournal = {J Nanobiotechnol},
  volume = {18},
  pages = {22},
  issn = {1477-3155},
  doi = {10.1186/s12951-020-0580-1},
  url = {https://jnanobiotechnology.biomedcentral.com/articles/10.1186/s12951-020-0580-1},
  urldate = {2021-01-25},
  abstract = {Superparamagnetic iron oxide nanoparticles (SPION) are extensively used for magnetic resonance imaging (MRI) and magnetic particle imaging (MPI), as well as for magnetic fluid hyperthermia (MFH). We here describe a sequen‑tial centrifugation protocol to obtain SPION with well-defined sizes from a polydisperse SPION starting formulation, synthesized using the routinely employed co-precipitation technique. Transmission electron microscopy, dynamic light scattering and nanoparticle tracking analyses show that the SPION fractions obtained upon size-isolation are well-defined and almost monodisperse. MRI, MPI and MFH analyses demonstrate improved imaging and hyperther‑mia performance for size-isolated SPION as compared to the polydisperse starting mixture, as well as to commercial and clinically used iron oxide nanoparticle formulations, such as Resovist® and Sinerem®. The size-isolation proto‑col presented here may help to identify SPION with optimal properties for diagnostic, therapeutic and theranostic applications.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\AF4BAFPR\\Dadfar et al. - 2020 - Size-isolation of superparamagnetic iron oxide nan.pdf},
  langid = {english},
  number = {1},
  options = {useprefix=true}
}

@online{datenstThemenseiteMedizintechnik,
  title = {Themenseite: Medizintechnik},
  shorttitle = {Themenseite},
  author = {einen aktuelleren Datenst, Dieser Text stellt eine Basisinformation dar Eine Gewähr für die Richtigkeit und Vollständigkeit der Angaben kann nicht übernommen werden Aufgrund unterschiedlicher Aktualisierungsrhythmen können Statistiken and {aufweisen.}},
  url = {https://de.statista.com/themen/793/medizintechnik/},
  urldate = {2021-01-28},
  abstract = {Alle Statistiken und Zahlen zum Thema Medizintechnik jetzt bei Statista entdecken!},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\I8XIYMWG\\medizintechnik.html},
  langid = {german},
  organization = {{Statista}}
}

@article{daxRowRelaxationMethods1993,
  title = {On {{Row Relaxation Methods}} for {{Large Constrained Least Squares Problems}}},
  author = {Dax, Achiya},
  date = {1993},
  journaltitle = {SIAM Journal on Scientific Computing},
  volume = {Vol. 14},
  pages = {pp. 570-584},
  abstract = {This paper addresses the question of how to construct a row relaxation method for solving large unstructured linear least squares problems, with or without linear constraints. The proposed approach combines the Herman–Lent–Hurwitz scheme for solving regularized least squares problems with the Lent–Censor–Hildreth method for solving linear constraints. However, numerical experiments show that the Herman–Lent–Hurwitz scheme has difficulty reaching a least squares solution. This difficulty is resolved by applying the Riley–Golub iterative improvement process.},
  issue = {No. 3}
}

@book{demtroederExperimentalphysik2017,
  title = {Experimentalphysik 2},
  author = {Demtröder, Wolfgang},
  date = {2017},
  publisher = {{Springer Berlin Heidelberg}},
  location = {{Berlin, Heidelberg}},
  doi = {10.1007/978-3-662-55790-7},
  url = {http://link.springer.com/10.1007/978-3-662-55790-7},
  urldate = {2020-12-10},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\HVP6EMQR\\Demtröder II - Elektromagnetismus und Optik.pdf},
  isbn = {978-3-662-55789-1},
  langid = {german},
  series = {Springer-Lehrbuch}
}

@article{frankeSystemCharacterizationHighly2016,
  title = {System {{Characterization}} of a {{Highly Integrated Preclinical Hybrid MPI}}-{{MRI Scanner}}},
  author = {Franke, Jochen and Heinen, Ulrich and Lehr, Heinrich and Weber, Alexander and Jaspard, Frederic and Ruhm, Wolfgang and Heidenreich, Michael and Schulz, Volkmar},
  date = {2016-09},
  journaltitle = {IEEE Transactions on Medical Imaging},
  shortjournal = {IEEE Trans. Med. Imaging},
  volume = {35},
  pages = {1993--2004},
  issn = {0278-0062, 1558-254X},
  doi = {10.1109/TMI.2016.2542041},
  url = {http://ieeexplore.ieee.org/document/7433425/},
  urldate = {2020-10-25},
  abstract = {Magnetic particle imaging (MPI) is a novel tracer-based in vivo imaging modality allowing quantitative measurements of the spatial distributions of superparamagnetic iron oxide (SPIO) nanoparticles in three dimensions (3D) and in real time using electromagnetic fields. However, MPI lacks the detection of morphological information which makes it difficult to unambiguously assign spatial SPIO distributions to actual organ structures. To compensate for this, a preclinical highly integrated hybrid system combining MPI and Magnetic Resonance Imaging (MRI) has been designed and gets characterized in this work. This hybrid MPI-MRI system offers a high grade of integration with respect to its hard- and software and enables sequential measurements of MPI and MRI within one seamless study and without the need for object repositioning. Therefore, time-resolved measurements of SPIO distributions acquired with MPI as well as morphological and functional information acquired with MRI can be combined with high spatial co-registration accuracy. With this initial phantom study, the feasibility of a highly integrated MPI-MRI hybrid systems has been proven successfully. This will enable dual-modal in vivo preclinical investigations of mice and rats with high confidence of success, offering the unique feature of precise MPI FOV planning on the basis of MRI data and vice versa.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\HE8AJPHC\\Franke et al. - 2016 - System Characterization of a Highly Integrated Pre.pdf},
  langid = {english},
  number = {9}
}

@article{gleichTomographicImagingUsing2005,
  title = {Tomographic Imaging Using the Nonlinear Response of Magnetic Particles},
  author = {Gleich, Bernhard and Weizenecker, Jürgen},
  date = {2005-06},
  journaltitle = {Nature},
  shortjournal = {Nature},
  volume = {435},
  pages = {1214--1217},
  issn = {0028-0836, 1476-4687},
  doi = {10.1038/nature03808},
  url = {http://www.nature.com/articles/nature03808},
  urldate = {2020-10-25},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\BD2L8JEK\\Gleich und Weizenecker - 2005 - Tomographic imaging using the nonlinear response o.pdf},
  langid = {english},
  number = {7046}
}

@article{harrisArrayProgrammingNumPy2020,
  title = {Array Programming with {{NumPy}}},
  author = {Harris, Charles R. and Millman, K. Jarrod and van der Walt, Stéfan J. and Gommers, Ralf and Virtanen, Pauli and Cournapeau, David and Wieser, Eric and Taylor, Julian and Berg, Sebastian and Smith, Nathaniel J. and Kern, Robert and Picus, Matti and Hoyer, Stephan and van Kerkwijk, Marten H. and Brett, Matthew and Haldane, Allan and del Río, Jaime Fernández and Wiebe, Mark and Peterson, Pearu and Gérard-Marchant, Pierre and Sheppard, Kevin and Reddy, Tyler and Weckesser, Warren and Abbasi, Hameer and Gohlke, Christoph and Oliphant, Travis E.},
  date = {2020-09-01},
  journaltitle = {Nature},
  shortjournal = {Nature},
  volume = {585},
  pages = {357--362},
  issn = {1476-4687},
  doi = {10.1038/s41586-020-2649-2},
  url = {https://doi.org/10.1038/s41586-020-2649-2},
  abstract = {Array programming provides a powerful, compact and expressive syntax for accessing, manipulating and operating on data in vectors, matrices and higher-dimensional arrays. NumPy is the primary array programming library for the Python language. It has an essential role in research analysis pipelines in fields as diverse as physics, chemistry, astronomy, geoscience, biology, psychology, materials science, engineering, finance and economics. For example, in astronomy, NumPy was an important part of the software stack used in the discovery of gravitational waves1 and in the first imaging of a black hole2. Here we review how a few fundamental array concepts lead to a simple and powerful programming paradigm for organizing, exploring and analysing scientific data. NumPy is the foundation upon which the scientific Python ecosystem is constructed. It is so pervasive that several projects, targeting audiences with specialized needs, have developed their own NumPy-like interfaces and array objects. Owing to its central position in the ecosystem, NumPy increasingly acts as an interoperability layer between such array computation libraries and, together with its application programming interface (API), provides a flexible framework to support the next decade of scientific and industrial analysis.},
  number = {7825},
  options = {useprefix=true}
}

@software{holleMPISimulation1D,
  title = {{{MPI Simulation 1D}} ({{MPI}}-{{Matrix}})},
  author = {Holle, Nils},
  url = {https://git.pmi.rwth-aachen.de/nils.holle/MPI-Matrix/-/tree/master/}
}

@software{holleMPISimulation3D,
  title = {{{MPI Simulation 3D}}},
  author = {Holle, Nils},
  url = {https://uni-muenster.sciebo.de/s/6Rw1Rd6vXGOaapj},
  urldate = {2021-01-26},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\SBX222MC\\6Rw1Rd6vXGOaapj.html}
}

@misc{holleMultiparametricImageReconstruction2018,
  title = {Multi-Parametric Image Reconstruction in {{Magnetic Particle Imaging}}},
  author = {Holle, Nils},
  date = {2018},
  publisher = {{RWTH}}
}

@article{kaczmarzAngenaherteAuflosungYon1937,
  title = {Angenäherte {{Auflösung}} Yon {{Systemen}} Linearer {{Gleichungen}}},
  author = {Kaczmarz, S},
  date = {1937},
  journaltitle = {Bull. Intern. Acad. Polonaise Sci. Lettres (Cracouie)},
  pages = {355--357}
}

@book{knoppMagneticParticleImaging2012,
  title = {Magnetic Particle Imaging: An Introduction to Imaging Principles and Scanner Instrumentation},
  shorttitle = {Magnetic Particle Imaging},
  author = {Knopp, Tobias and Buzug, Thorsten M.},
  date = {2012},
  publisher = {{Springer}},
  location = {{Heidelberg}},
  abstract = {"This volume provides a comprehensive overview of recent developments in magnetic particle imaging (MPI), a novel imaging modality. Using various static and oscillating magnetic fields, and tracer materials made from iron oxide nanoparticles, MPI can perform background-free measurements of the particles\{u2019\} local concentration. The method exploits the nonlinear remagnetization behavior of the particles and has the potential to surpass current methods for the detection of iron oxide in terms of sensitivity and spatiotemporal resolution. Starting from an introduction to the technology, the topics addressed include setting up an imaging device, assessment of image quality, development of new MPI tracer materials, and the first preclinical results. This is the first book to be published on magnetic particle imaging, and it will be an invaluable source of information for everyone with an interest in this exciting new modality." -- Publisher's website},
  annotation = {OCLC: ocn799160885},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\SMPA9LLN\\Knopp und Buzug - 2012 - Magnetic particle imaging an introduction to imag.pdf},
  isbn = {978-3-642-04198-3},
  keywords = {3D-Scanner,Bildrekonstruktion,Cross-sectional imaging,Diagnostic Imaging,diagnostic use,Image Processing; Computer-Assisted,instrumentation,Magnetic properties,Magnetics,Magnetpartikelbildgebung,methods,Nanoparticles,Nanostructures,Räumliche Verteilung,Superparamagnetisches Eisenoxid},
  langid = {english},
  pagetotal = {204}
}

@article{knoppMagneticParticleImaging2017,
  title = {Magnetic Particle Imaging: From Proof of Principle to Preclinical Applications},
  shorttitle = {Magnetic Particle Imaging},
  author = {Knopp, T and Gdaniec, N and Möddel, M},
  date = {2017-06-23},
  journaltitle = {Physics in Medicine \& Biology},
  shortjournal = {Phys. Med. Biol.},
  volume = {62},
  pages = {R124-R178},
  issn = {1361-6560},
  doi = {10.1088/1361-6560/aa6c99},
  url = {https://iopscience.iop.org/article/10.1088/1361-6560/aa6c99},
  urldate = {2020-10-25},
  abstract = {Tomographic imaging has become a mandatory tool for the diagnosis of a majority of diseases in clinical routine. Since each method has its pros and cons, a variety of them is regularly used in clinics to satisfy all application needs. Magnetic particle imaging (MPI) is a relatively new tomographic imaging technique that images magnetic nanoparticles with a high spatiotemporal resolution in a quantitative way, and in turn is highly suited for vascular and targeted imaging. MPI was introduced in 2005 and now enters the preclinical research phase, where medical researchers get access to this new technology and exploit its potential under physiological conditions. Within this paper, we review the development of MPI since its introduction in 2005. Besides an in-depth description of the basic principles, we provide detailed discussions on imaging sequences, reconstruction algorithms, scanner instrumentation and potential medical applications.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\J2G6LHQB\\Knopp et al. - 2017 - Magnetic particle imaging from proof of principle.pdf},
  langid = {english},
  number = {14}
}

@article{knoppModelBasedReconstructionMagnetic2010,
  title = {Model-{{Based Reconstruction}} for {{Magnetic Particle Imaging}}},
  author = {Knopp, T. and Sattel, T.F. and Biederer, S. and Rahmer, J. and Weizenecker, J. and Gleich, B. and Borgert, J. and Buzug, T.M.},
  date = {2010-01},
  journaltitle = {IEEE Transactions on Medical Imaging},
  shortjournal = {IEEE Trans. Med. Imaging},
  volume = {29},
  pages = {12--18},
  issn = {0278-0062, 1558-254X},
  doi = {10.1109/TMI.2009.2021612},
  url = {http://ieeexplore.ieee.org/document/4912405/},
  urldate = {2021-01-31},
  abstract = {Magnetic particle imaging (MPI) is a new imaging modality capable of imaging distributions of superparamagnetic nanoparticles with high sensitivity, high spatial resolution and, in particular, high imaging speed. The image reconstruction process requires a system function, describing the mapping between particle distribution and acquired signal. To date, the system function is acquired in a tedious calibration procedure by sequentially measuring the signal of a delta sample at the positions of a grid that covers the field of view. In this work, for the first time, the system function is calculated using a model of the signal chain. The modeled system function allows for reconstruction of the particle distribution in a 1-D MPI experiment. The approach thus enables fast generation of system functions on arbitrarily dense grids. Furthermore, reduction in memory requirements may be feasible by generating parts of the system function on the fly during reconstruction instead of keeping the complete matrix in memory.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\JIPXM33M\\Knopp et al. - 2010 - Model-Based Reconstruction for Magnetic Particle I.pdf},
  langid = {english},
  number = {1}
}

@article{leeMultinuclearMagneticResonance1986,
  title = {A Multinuclear Magnetic Resonance Imaging Technique-Simultaneous Proton and Sodium Imaging},
  author = {Lee, S.W. and Hilal, S.K. and Cho, Z.H.},
  date = {1986-01},
  journaltitle = {Magnetic Resonance Imaging},
  shortjournal = {Magnetic Resonance Imaging},
  volume = {4},
  pages = {343--350},
  issn = {0730725X},
  doi = {10.1016/0730-725X(86)91044-1},
  url = {https://linkinghub.elsevier.com/retrieve/pii/0730725X86910441},
  urldate = {2021-01-12},
  abstract = {Simultaneous imaging of proton and sodium is achieved using a new two coil system and a time-multiplexing technique with a 1.5 T NMR imaging system. Distinctly different NMR parameters of protons and sodium, such as resonant frequencies and Tl relaxation rates, are incorporated in the imaging with a new dual coil arrangement. Since the Tl relaxation time of sodium is substantially shorter than that of protons, a set of fast repeating sodium pulse sequences is inserted between the proton pulse repetition intervals. The different resonant frequencies of the nuclei provide good isolation between the two RF coils. In this paper, the system configuration and the pulse sequence employed for the proposed simultaneous multinuclear imaging of protons and sodium are presented along with some preliminary results.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\MURQ5QQC\\Lee et al. - 1986 - A multinuclear magnetic resonance imaging techniqu.pdf},
  langid = {english},
  number = {4}
}

@online{micromodpartikeltechnologiegmbhPerimagMagneticParticles,
  title = {Perimag® {{Magnetic}} Particles, Nanoparticle, Microparticles, Products},
  author = {micromod Partikeltechnologie GmbH},
  url = {https://www.micromod.de/en/produkte-197-magnetic_peri.html},
  urldate = {2021-01-25},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\UJXUMKLV\\produkte-197-magnetic_peri.html},
  options = {useprefix=true}
}

@misc{nogueiraMachineLearningbasedParamter2020,
  title = {Machine Learning-Based Paramter Reconstruction in {{Magnetic Particle Imaging}}},
  author = {Nogueira, Dario Mesquida},
  date = {2020},
  publisher = {{RWTH}}
}

@online{NumpyStdNumPy,
  title = {Numpy.Std — {{NumPy}} v1.19 {{Manual}}},
  url = {https://numpy.org/doc/stable/reference/generated/numpy.std.html},
  urldate = {2021-01-28},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\U5GCN8QB\\numpy.std.html}
}

@article{pantkeMultifrequencyMagneticParticle2019,
  title = {Multifrequency Magnetic Particle Imaging Enabled by a Combined Passive and Active Drive Field Feed‐through Compensation Approach},
  author = {Pantke, Dennis and Holle, Nils and Mogarkar, Akshay and Straub, Marcel and Schulz, Volkmar},
  date = {2019-09},
  journaltitle = {Medical Physics},
  shortjournal = {Med. Phys.},
  volume = {46},
  pages = {4077--4086},
  issn = {0094-2405, 2473-4209},
  doi = {10.1002/mp.13650},
  url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mp.13650},
  urldate = {2021-01-31},
  abstract = {Purpose: Magnetic particle imaging (MPI) allows fast imaging of the spatial distribution of superparamagnetic iron-oxide based nanoparticles (SPIONs). Recent research suggests that MPI furthermore promises in-vivo access to environmental parameters of SPIONs as temperature or viscosity. Various medical applications as nanomedicine, stem cell-based therapies or magnetic hyperthermia could benefit from in-vivo multiparameter estimation by MPI. One possible approach to get access to functional parameters is particle excitation at multiple frequencies. To enable the investigation of the mentioned approach, a novel MPI device capable of multifrequency excitation is needed. Methods: MPI usually employs analog band-stop filters to cancel the drive field feed-through, which is magnitudes higher than the particle signal. To enable drive field frequency flexibility over a wide bandwidth, we propose a combined passive and active drive field feed-through compensation approach. This cancellation technique further allows the direct detection of the SPIONs’ signal at the fundamental excitation frequency. Results: A combined feed-through suppression of up to À125 dB is reported, which allows to adjust the drive field frequency from 500 Hz to 20 kHz. Initial spectroscopic measurements and images are shown that demonstrate the concept of multifrequency excitation and prove the imaging capability of the presented scanner. A mean signal-to-noise ratio (SNR) enhancement by the factor of 1.7 was shown when the first harmonic is used for measurement-based image reconstruction compared to when it is omitted. Conclusions: In this paper, the first one-dimensional multifrequency magnetic particle imaging (mfMPI) that features adjustable excitation frequencies from 500 Hz to 20 kHz is presented. The device will be used to study the principle of multiparameter estimation by employing multifrequency excitation. © 2019 The Authors. Medical Physics published by Wiley Periodicals, Inc. on behalf of American Association of Physicists in Medicine. [https://doi.org/10.1002/mp.13650]},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\4VKLT8KT\\Pantke et al. - 2019 - Multifrequency magnetic particle imaging enabled b.pdf},
  langid = {english},
  number = {9}
}

@software{philippsMPIPDCRSimulations,
  title = {{{MPI pDCR Simulations}}},
  author = {Philipps, Jonas},
  url = {https://git.pmi.rwth-aachen.de/jonas.philipps/ba-philipps},
  urldate = {2021-01-29},
  abstract = {Any code used for or written in the course of my bachelor's thesis.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\JHUYG4NF\\ba-philipps.html}
}

@article{rahmerSignalEncodingMagnetic2009,
  title = {Signal Encoding in Magnetic Particle Imaging: Properties of the System Function},
  shorttitle = {Signal Encoding in Magnetic Particle Imaging},
  author = {Rahmer, Jürgen and Weizenecker, Jürgen and Gleich, Bernhard and Borgert, Jörn},
  date = {2009-12},
  journaltitle = {BMC Medical Imaging},
  shortjournal = {BMC Med Imaging},
  volume = {9},
  pages = {4},
  issn = {1471-2342},
  doi = {10.1186/1471-2342-9-4},
  url = {https://bmcmedimaging.biomedcentral.com/articles/10.1186/1471-2342-9-4},
  urldate = {2020-10-25},
  abstract = {Background: Magnetic particle imaging (MPI) is a new tomographic imaging technique capable of imaging magnetic tracer material at high temporal and spatial resolution. Image reconstruction requires solving a system of linear equations, which is characterized by a "system function" that establishes the relation between spatial tracer position and frequency response. This paper for the first time reports on the structure and properties of the MPI system function. Methods: An analytical derivation of the 1D MPI system function exhibits its explicit dependence on encoding field parameters and tracer properties. Simulations are used to derive properties of the 2D and 3D system function. Results: It is found that for ideal tracer particles in a harmonic excitation field and constant selection field gradient, the 1D system function can be represented by Chebyshev polynomials of the second kind. Exact 1D image reconstruction can thus be performed using the Chebyshev transform. More realistic particle magnetization curves can be treated as a convolution of the derivative of the magnetization curve with the Chebyshev functions. For 2D and 3D imaging, it is found that Lissajous excitation trajectories lead to system functions that are closely related to tensor products of Chebyshev functions. Conclusion: Since to date, the MPI system function has to be measured in time-consuming calibration scans, the additional information derived here can be used to reduce the amount of information to be acquired experimentally and can hence speed up system function acquisition. Furthermore, redundancies found in the system function can be removed to arrive at sparser representations that reduce memory load and allow faster image reconstruction.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\FGC2Y48Y\\Rahmer et al. - 2009 - Signal encoding in magnetic particle imaging prop.pdf},
  langid = {english},
  number = {1}
}

@article{reinartzFeasibilitySpatialResolution,
  title = {Feasibility of a Spatial Resolution Enhancement by a Passive Dual Coil Resonator ({{pDCR}}) Insert for Large Bore {{MPI}} Systems},
  author = {Reinartz, S D and Pantke, D and Mogarkar, A and Mueller, F and Schulz, V},
  pages = {2},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\5QXKY3KX\\Reinartz et al. - Feasibility of a spatial resolution enhancement by.pdf},
  langid = {english}
}

@software{schrankMPIDenoisingProgram,
  title = {{{MPI Denoising Program}}},
  author = {Schrank, Franziska},
  url = {https://git.pmi.rwth-aachen.de/franziska.schrank/mpi-denoising},
  urldate = {2021-02-02},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\5VVZUPJN\\mpi-denoising.html}
}

@online{spectarisZahlenFaktenPublikationen,
  title = {Zahlen, {{Fakten}} \& {{Publikationen}}},
  author = {SPECTARIS},
  url = {https://www.spectaris.de/photonik/zahlen-fakten-und-publikationen/amp.html},
  urldate = {2021-01-28},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\W3TVT9WQ\\amp.html}
}

@article{taguchiVision20202013,
  title = {Vision 20/20: {{Single}} Photon Counting x-Ray Detectors in Medical Imaging: {{Vision}} 20/20: {{Photon}} Counting Detectors},
  shorttitle = {Vision 20/20},
  author = {Taguchi, Katsuyuki and Iwanczyk, Jan S.},
  date = {2013-09-12},
  journaltitle = {Medical Physics},
  shortjournal = {Med. Phys.},
  volume = {40},
  pages = {100901},
  issn = {00942405},
  doi = {10.1118/1.4820371},
  url = {http://doi.wiley.com/10.1118/1.4820371},
  urldate = {2021-01-12},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\MT376ME3\\Taguchi und Iwanczyk - 2013 - Vision 2020 Single photon counting x-ray detecto.pdf},
  langid = {english},
  number = {10}
}

@online{Top10Medizintechnikunternehmen,
  title = {Top 10 Medizintechnikunternehmen nach weltweiten Marktanteilen im Segment bildgebende Diagnostik 2017 und 2024},
  url = {https://de.statista.com/statistik/daten/studie/332494/umfrage/fuehrende-medizintechnikunternehmen-nach-weltweiten-marktanteilen-im-segment-bildgebende-diagnostik/},
  urldate = {2021-01-28},
  abstract = {Die Statistik zeigt die zehn führenden Medizintechnikunternehmen nach weltweiten Marktanteilen im Segment bildgebende Diagnostik im Jahr 2017 und eine Prognose für das Jahr 2024.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\9P29LV7M\\fuehrende-medizintechnikunternehmen-nach-weltweiten-marktanteilen-im-segment-bildgebende-diagno.html},
  langid = {german},
  organization = {{Statista}}
}

@article{weberArtifactFreeReconstruction2015,
  title = {Artifact Free Reconstruction with the System Matrix Approach by Overscanning the Field-Free-Point Trajectory in Magnetic Particle Imaging},
  author = {Weber, A and Werner, F and Weizenecker, J and Buzug, T M and Knopp, T},
  date = {2015-12},
  journaltitle = {Physics in Medicine and Biology},
  volume = {61},
  pages = {475--487},
  publisher = {{IOP Publishing}},
  doi = {10.1088/0031-9155/61/2/475},
  url = {https://doi.org/10.1088/0031-9155/61/2/475},
  abstract = {Magnetic particle imaging is a tracer-based imaging method that utilizes the non-linear magnetization response of iron-oxide for determining their spatial distribution. The method is based on a sampling scheme where a sensitive spot is moved along a trajectory that captured a predefined field-of-view (FOV). However, particles outside the FOV also contribute to the measurement signal due to their rotation and the non-sharpness of the sensitive spot. In the present work we investigate artifacts that are induced by particles not covered by the FOV and show that the artifacts can be mitigated by using a system matrix that covers not only the region of interest but also a certain area around the FOV. The findings are especially relevant when using a multi-patch acquisition scheme where the boundaries of neighboring patches have to be handled.},
  number = {2}
}

@article{weeDeathsMountChina2020,
  title = {As {{Deaths Mount}}, {{China Tries}} to {{Speed Up Coronavirus Testing}}},
  author = {Wee, Sui-Lee},
  date = {2020-02-09},
  journaltitle = {The New York Times},
  issn = {0362-4331},
  url = {https://www.nytimes.com/2020/02/09/world/asia/china-coronavirus-tests.html},
  urldate = {2020-11-20},
  abstract = {China is racing to screen ever more patients in Hubei Province, acknowledging that delays in diagnosing the virus are a major obstacle to controlling the epidemic.},
  entrysubtype = {newspaper},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\M792QKBC\\china-coronavirus-tests.html},
  journalsubtitle = {World},
  keywords = {China,Coronavirus (2019-nCoV),Epidemics,Hubei Province (China),Tests (Medical)},
  langid = {american}
}

@article{weisslerDigitalPreclinicalPET2015,
  title = {A {{Digital Preclinical PET}}/{{MRI Insert}} and {{Initial Results}}},
  author = {Weissler, Bjoern and Gebhardt, Pierre and Dueppenbecker, Peter M and Wehner, Jakob and Schug, David and Lerche, Christoph W and Goldschmidt, Benjamin and Salomon, Andre and Verel, Iris and Heijman, Edwin and Perkuhn, Michael and Heberling, Dirk and Botnar, Rene M and Kiessling, Fabian and Schulz, Volkmar},
  date = {2015},
  journaltitle = {IEEE TRANSACTIONS ON MEDICAL IMAGING},
  volume = {34},
  pages = {13},
  langid = {english},
  number = {11}
}

@article{weizeneckerSimulationStudyResolution2007,
  title = {A Simulation Study on the Resolution and Sensitivity of Magnetic Particle Imaging},
  author = {Weizenecker, J and Borgert, J and Gleich, B},
  date = {2007-11-07},
  journaltitle = {Physics in Medicine and Biology},
  shortjournal = {Phys. Med. Biol.},
  volume = {52},
  pages = {6363--6374},
  issn = {0031-9155, 1361-6560},
  doi = {10.1088/0031-9155/52/21/001},
  url = {https://iopscience.iop.org/article/10.1088/0031-9155/52/21/001},
  urldate = {2020-11-20},
  abstract = {This paper presents the first detailed simulation approach to evaluate the proposed imaging method called ‘magnetic particle imaging’ with respect to resolution and sensitivity. The simulated scanner is large enough to accept human bodies. Together with the choice of field strength and noise the setup is representative for clinical applications. Good resolution, fast image acquisition and high sensitivity are demonstrated for various tracer concentrations, acquisition times, tracer properties and fields of view. Scaling laws for the simple prediction of image quality under the variation of these parameters are derived.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\3JHVYBM5\\Weizenecker et al. - 2007 - A simulation study on the resolution and sensitivi.pdf},
  langid = {english},
  number = {21}
}

@article{weizeneckerThreedimensionalRealtimeVivo2009,
  title = {Three-Dimensional Real-Time {\emph{in Vivo}} Magnetic Particle Imaging},
  author = {Weizenecker, J and Gleich, B and Rahmer, J and Dahnke, H and Borgert, J},
  date = {2009-03-07},
  journaltitle = {Physics in Medicine and Biology},
  shortjournal = {Phys. Med. Biol.},
  volume = {54},
  pages = {L1-L10},
  issn = {0031-9155, 1361-6560},
  doi = {10.1088/0031-9155/54/5/L01},
  url = {https://iopscience.iop.org/article/10.1088/0031-9155/54/5/L01},
  urldate = {2021-01-27},
  abstract = {Magnetic particle imaging (MPI) is a new tomographic imaging method potentially capable of rapid 3D dynamic imaging of magnetic tracer materials. Until now, only dynamic 2D phantom experiments with high tracer concentrations have been demonstrated. In this letter, first in vivo 3D real-time MPI scans are presented revealing details of a beating mouse heart using a clinically approved concentration of a commercially available MRI contrast agent. A temporal resolution of 21.5 ms is achieved at a 3D field of view of 20.4 × 12 × 16.8 mm3 with a spatial resolution sufficient to resolve all heart chambers. With these abilities, MPI has taken a huge step toward medical application.},
  file = {C\:\\Users\\jonas\\Zotero\\storage\\FRZC33SH\\Weizenecker et al. - 2009 - Three-dimensional real-time in vivo magneti.pdf},
  langid = {english},
  number = {5}
}