@inproceedings{SimsekKrauseEngelmann2024,
  author    = {Simsek, Beril and Krause, Hans-Joachim and Engelmann, Ulrich M.},
  title     = {Magnetic biosensing with magnetic nanoparticles: Simulative approach to predict signal intensity in frequency mixing magnetic detection},
  series = {4th YRA MedTech Symposium 2024 : February 1 / 2024 / FH Aachen},
  booktitle = {4th YRA MedTech Symposium 2024 : February 1 / 2024 / FH Aachen},
  editor    = {Digel, Ilya and Staat, Manfred and Trzewik, J{\"u}rgen and Sielemann, Stefanie and Erni, Daniel and Zylka, Waldemar},
  publisher = {Universit{\"a}t Duisburg-Essen},
  address   = {Duisburg},
  organization    = {MedTech Symposium},
  isbn      = {978-3-940402-65-3},
  doi       = {10.17185/duepublico/81475},
  pages     = {27 -- 28},
  year      = {2024},
  abstract  = {Magnetic nanoparticles (MNP) are investigated with great interest for biomedical applications in diagnostics (e.g. imaging: magnetic particle imaging (MPI)), therapeutics (e.g. hyperthermia: magnetic fluid hyperthermia (MFH)) and multi-purpose biosensing (e.g. magnetic immunoassays (MIA)). What all of these applications have in common is that they are based on the unique magnetic relaxation mechanisms of MNP in an alternating magnetic field (AMF). While MFH and MPI are currently the most prominent examples of biomedical applications, here we present results on the relatively new biosensing application of frequency mixing magnetic detection (FMMD) from a simulation perspective. In general, we ask how the key parameters of MNP (core size and magnetic anisotropy) affect the FMMD signal: by varying the core size, we investigate the effect of the magnetic volume per MNP; and by changing the effective magnetic anisotropy, we study the MNPs' flexibility to leave its preferred magnetization direction. From this, we predict the most effective combination of MNP core size and magnetic anisotropy for maximum signal generation.},
  language  = {en}
}
@article{RabehiGarlanAchtsnichtetal.2018,
  author    = {Rabehi, Amine and Garlan, Benjamin and Achtsnicht, Stefan and Krause, Hans-Joachim and Offenh{\"a}usser, Andreas and Ngo, Kieu and Neveu, Sophie and Graff-Dubois, Stephanie and Kokabi, Hamid},
  title     = {Magnetic detection structure for Lab-on-Chip applications based on the frequency mixing technique},
  series = {Sensors},
  volume    = {18},
  journal   = {Sensors},
  number    = {6},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {1424-8220},
  doi       = {10.3390/s18061747},
  pages     = {14 Seiten},
  year      = {2018},
  abstract  = {A magnetic frequency mixing technique with a set of miniaturized planar coils was investigated for use with a completely integrated Lab-on-Chip (LoC) pathogen sensing system. The system allows the detection and quantification of superparamagnetic beads. Additionally, in terms of magnetic nanoparticle characterization ability, the system can be used for immunoassays using the beads as markers. Analytical calculations and simulations for both excitation and pick-up coils are presented; the goal was to investigate the miniaturization of simple and cost-effective planar spiral coils. Following these calculations, a Printed Circuit Board (PCB) prototype was designed, manufactured, and tested for limit of detection, linear response, and validation of theoretical concepts. Using the magnetic frequency mixing technique, a limit of detection of 15 µg/mL of 20 nm core-sized nanoparticles was achieved without any shielding.},
  language  = {en}
}
@incollection{EngelmannShashaSlabu2021,
  author    = {Engelmann, Ulrich M. and Shasha, Carolyn and Slabu, Ioana},
  title     = {Magnetic nanoparticle relaxation in biomedical application: focus on simulating nanoparticle heating},
  series = {Magnetic nanoparticles in human health and medicine},
  booktitle = {Magnetic nanoparticles in human health and medicine},
  publisher = {Wiley-Blackwell},
  address   = {Hoboken, New Jeersey},
  isbn      = {978-1-119-75467-1},
  pages     = {327 -- 354},
  year      = {2021},
  language  = {en}
}
@article{EngelmannBuhlDraacketal.2018,
  author    = {Engelmann, Ulrich M. and Buhl, Eva Miriam and Draack, Sebastian and Viereck, Thilo and Frank, and Schmitz-Rode, Thomas and Slabu, Ioana},
  title     = {Magnetic relaxation of agglomerated and immobilized iron oxide nanoparticles for hyperthermia and imaging applications},
  series = {IEEE Magnetic Letters},
  volume    = {9},
  journal   = {IEEE Magnetic Letters},
  number    = {Article number 8519617},
  publisher = {IEEE},
  address   = {New York, NY},
  issn      = {1949-307X},
  doi       = {10.1109/LMAG.2018.2879034},
  year      = {2018},
  abstract  = {Magnetic nanoparticles (MNPs) are used as therapeutic and diagnostic agents for local delivery of heat and image contrast enhancement in diseased tissue. Besides magnetization, the most important parameter that determines their performance for these applications is their magnetic relaxation, which can be affected when MNPs immobilize and agglomerate inside tissues. In this letter, we investigate different MNP agglomeration states for their magnetic relaxation properties under excitation in alternating fields and relate this to their heating efficiency and imaging properties. With focus on magnetic fluid hyperthermia, two different trends in MNP heating efficiency are measured: an increase by up to 23\% for agglomerated MNP in suspension and a decrease by up to 28\% for mixed states of agglomerated and immobilized MNP, which indicates that immobilization is the dominant effect. The same comparatively moderate effects are obtained for the signal amplitude in magnetic particle spectroscopy.},
  language  = {en}
}
@article{ReisselHirschfeldLustfeldetal.2009,
  author    = {Reißel, Martin and Hirschfeld, J. A. and Lustfeld, H. and Steffen, B.},
  title     = {Magnetotomography and Electric Currents in a Fuel Cell / Lustfeld, H. ; Reißel, M. ; Steffen, B.},
  series = {Fuel Cells. 9 (2009), H. 4},
  journal   = {Fuel Cells. 9 (2009), H. 4},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  isbn      = {1615-6854},
  pages     = {474 -- 481},
  year      = {2009},
  language  = {en}
}
@article{Grotendorst1991,
  author    = {Grotendorst, Johannes},
  title     = {Maple programs for converting series expansions to rational functions using the Levin transformation automatic generation of FORTRAN functions for numerical applications},
  series = {Computer Physics Communications. 55 (1991), H. 3},
  journal   = {Computer Physics Communications. 55 (1991), H. 3},
  isbn      = {0010-4655},
  pages     = {325 -- 335},
  year      = {1991},
  language  = {en}
}
@article{SchaeferBoettcher1989,
  author    = {Sch{\"a}fer, Horst and B{\"o}ttcher, A.},
  title     = {Mapping of magnetic domain structures inside of ferromagnetic materials by X-ray topography},
  series = {Physica Status Solidi (A). 113 (1989)},
  journal   = {Physica Status Solidi (A). 113 (1989)},
  isbn      = {0031-8965},
  pages     = {551},
  year      = {1989},
  language  = {en}
}
@inproceedings{MaurerMiskiwAcostaetal.2023,
  author    = {Maurer, Florian and Miskiw, Kim K. and Acosta, Rebeca Ramirez and Harder, Nick and Sander, Volker and Lehnhoff, Sebastian},
  title     = {Market abstraction of energy markets and policies - application in an agent-based modeling toolbox},
  series = {EI.A 2023: Energy Informatics},
  booktitle = {EI.A 2023: Energy Informatics},
  editor    = {Jorgensen, Bo Norregaard and Pereira da Silva, Luiz Carlos and Ma, Zheng},
  publisher = {Springer},
  address   = {Cham},
  isbn      = {978-3-031-48651-7 (Print)},
  doi       = {10.1007/978-3-031-48652-4_10},
  pages     = {139 -- 157},
  year      = {2023},
  abstract  = {In light of emerging challenges in energy systems, markets are prone to changing dynamics and market design. Simulation models are commonly used to understand the changing dynamics of future electricity markets. However, existing market models were often created with specific use cases in mind, which limits their flexibility and usability. This can impose challenges for using a single model to compare different market designs. This paper introduces a new method of defining market designs for energy market simulations. The proposed concept makes it easy to incorporate different market designs into electricity market models by using relevant parameters derived from analyzing existing simulation tools, morphological categorization and ontologies. These parameters are then used to derive a market abstraction and integrate it into an agent-based simulation framework, allowing for a unified analysis of diverse market designs. Furthermore, we showcase the usability of integrating new types of long-term contracts and over-the-counter trading. To validate this approach, two case studies are demonstrated: a pay-as-clear market and a pay-as-bid long-term market. These examples demonstrate the capabilities of the proposed framework.},
  language  = {en}
}
@article{GrajewskiKoesterTurek2009,
  author    = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefan},
  title     = {Mathematical and Numerical Analysis of a Robust and Efficient Grid Deformation Method in the Finite Element Context},
  series = {SIAM Journal on Scientific Computing},
  volume    = {31},
  journal   = {SIAM Journal on Scientific Computing},
  number    = {2},
  publisher = {Society for Industrial and Applied Mathematics},
  address   = {Philadelphia, Pa.},
  doi       = {10.1137/050639387},
  pages     = {1539 -- 1557},
  year      = {2009},
  language  = {en}
}
@article{HafnerDemetzWeickertetal.2014,
  author    = {Hafner, David and Demetz, Oliver and Weickert, Joachim and Reißel, Martin},
  title     = {Mathematical Foundations and Generalisations of the Census Transform for Robust Optic Flow Computation},
  series = {Journal of Mathematical Imaging and Vision},
  journal   = {Journal of Mathematical Imaging and Vision},
  publisher = {Springer},
  address   = {New York},
  issn      = {1573-7683 (Online)},
  doi       = {10.1007/s10851-014-0529-9},
  year      = {2014},
  language  = {en}
}