@article{GrinsvenBonStrauvenetal.2012,
  author    = {Grinsven, Bart van and Bon, Natalie vanden and Strauven, Hannelore and Grieten, Lars and Murib, Mohammed and Jim{\´e}nez Monroy, Kathia L. and Janssens, Stoffel D. and Haenen, Ken and Sch{\"o}ning, Michael Josef and Vermeeren, Veronique and Ameloot, Marcel and Michiels, Luc and Thoelen, Ronald and Ceuninck, Ward de and Wagner, Patrick},
  title     = {Heat-Transfer Resistance at Solid-Liquid Interfaces: A Tool for The Detection of Single Nucleotide Polymorphisms in DNA.},
  series = {ACS Nano},
  volume    = {6},
  journal   = {ACS Nano},
  number    = {3},
  publisher = {ACS Publications},
  address   = {Washington, DC},
  issn      = {1936-086X},
  doi       = {10.1021/nn300147e},
  pages     = {2712 -- 2721},
  year      = {2012},
  abstract  = {In this article, we report on the heat-transfer resistance at interfaces as a novel, denaturation-based method to detect single-nucleotide polymorphisms in DNA. We observed that a molecular brush of double-stranded DNA grafted onto synthetic diamond surfaces does not notably affect the heat-transfer resistance at the solid-to-liquid interface. In contrast to this, molecular brushes of single-stranded DNA cause, surprisingly, a substantially higher heat-transfer resistance and behave like a thermally insulating layer. This effect can be utilized to identify ds-DNA melting temperatures via the switching from low- to high heat-transfer resistance. The melting temperatures identified with this method for different DNA duplexes (29 base pairs without and with built-in mutations) correlate nicely with data calculated by modeling. The method is fast, label-free (without the need for fluorescent or radioactive markers), allows for repetitive measurements, and can also be extended toward array formats. Reference measurements by confocal fluorescence microscopy and impedance spectroscopy confirm that the switching of heat-transfer resistance upon denaturation is indeed related to the thermal on-chip denaturation of DNA.},
  language  = {en}
}
@article{GriessmeierSonnenbergWeckesseretal.1996,
  author    = {Grießmeier, M. and Sonnenberg, F. and Weckesser, M. and Ziemons, Karl and Langen, K.-J. and M{\"u}ller-G{\"a}rtner, H. W.},
  title     = {Improvement of SPECT quantification in small brain structures by using experiment based recovery-coefficient corrections},
  series = {European Journal of Nuclear Medicine},
  volume    = {23},
  journal   = {European Journal of Nuclear Medicine},
  number    = {9},
  issn      = {1619-7089},
  pages     = {1238 -- 1238},
  year      = {1996},
  language  = {en}
}
@article{GriegerSchwabedalWendeletal.2021,
  author    = {Grieger, Niklas and Schwabedal, Justus T. C. and Wendel, Stefanie and Ritze, Yvonne and Bialonski, Stephan},
  title     = {Automated scoring of pre-REM sleep in mice with deep learning},
  series = {Scientific Reports},
  volume    = {11},
  journal   = {Scientific Reports},
  number    = {Art. 12245},
  publisher = {Springer Nature},
  address   = {London},
  issn      = {2045-2322},
  doi       = {10.1038/s41598-021-91286-0},
  year      = {2021},
  abstract  = {Reliable automation of the labor-intensive manual task of scoring animal sleep can facilitate the analysis of long-term sleep studies. In recent years, deep-learning-based systems, which learn optimal features from the data, increased scoring accuracies for the classical sleep stages of Wake, REM, and Non-REM. Meanwhile, it has been recognized that the statistics of transitional stages such as pre-REM, found between Non-REM and REM, may hold additional insight into the physiology of sleep and are now under vivid investigation. We propose a classification system based on a simple neural network architecture that scores the classical stages as well as pre-REM sleep in mice. When restricted to the classical stages, the optimized network showed state-of-the-art classification performance with an out-of-sample F1 score of 0.95 in male C57BL/6J mice. When unrestricted, the network showed lower F1 scores on pre-REM (0.5) compared to the classical stages. The result is comparable to previous attempts to score transitional stages in other species such as transition sleep in rats or N1 sleep in humans. Nevertheless, we observed that the sequence of predictions including pre-REM typically transitioned from Non-REM to REM reflecting sleep dynamics observed by human scorers. Our findings provide further evidence for the difficulty of scoring transitional sleep stages, likely because such stages of sleep are under-represented in typical data sets or show large inter-scorer variability. We further provide our source code and an online platform to run predictions with our trained network.},
  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{GrajewskiKoesterTurek2010,
  author    = {Grajewski, Matthias and K{\"o}ster, Michael and Turek, Stefam},
  title     = {Numerical analysis and implementational aspects of a new multilevel grid deformation method},
  series = {Applied Numerical Mathematics},
  volume    = {60},
  journal   = {Applied Numerical Mathematics},
  number    = {8},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0168-9274},
  doi       = {10.1016/j.apnum.2010.03.017},
  pages     = {767 -- 781},
  year      = {2010},
  abstract  = {Recently, we introduced and mathematically analysed a new method for grid deformation (Grajewski et al., 2009) [15] we call basic deformation method (BDM) here. It generalises the method proposed by Liao et al. (Bochev et al., 1996; Cai et al., 2004; Liao and Anderson, 1992) [4], [6], [20]. In this article, we employ the BDM as core of a new multilevel deformation method (MDM) which leads to vast improvements regarding robustness, accuracy and speed. We achieve this by splitting up the deformation process in a sequence of easier subproblems and by exploiting grid hierarchy. Being of optimal asymptotic complexity, we experience speed-ups up to a factor of 15 in our test cases compared to the BDM. This gives our MDM the potential for tackling large grids and time-dependent problems, where possibly the grid must be dynamically deformed once per time step according to the user's needs. Moreover, we elaborate on implementational aspects, in particular efficient grid searching, which is a key ingredient of the BDM.},
  language  = {en}
}
@article{GrajewskiKleefeld2023,
  author    = {Grajewski, Matthias and Kleefeld, Andreas},
  title     = {Detecting and approximating decision boundaries in low-dimensional spaces},
  series = {Numerical Algorithms},
  volume    = {93},
  journal   = {Numerical Algorithms},
  number    = {4},
  publisher = {Springer Science+Business Media},
  address   = {Dordrecht},
  issn      = {1572-9265},
  pages     = {35 Seiten},
  year      = {2023},
  abstract  = {A method for detecting and approximating fault lines or surfaces, respectively, or decision curves in two and three dimensions with guaranteed accuracy is presented. Reformulated as a classification problem, our method starts from a set of scattered points along with the corresponding classification algorithm to construct a representation of a decision curve by points with prescribed maximal distance to the true decision curve. Hereby, our algorithm ensures that the representing point set covers the decision curve in its entire extent and features local refinement based on the geometric properties of the decision curve. We demonstrate applications of our method to problems related to the detection of faults, to multi-criteria decision aid and, in combination with Kirsch's factorization method, to solving an inverse acoustic scattering problem. In all applications we considered in this work, our method requires significantly less pointwise classifications than previously employed algorithms.},
  language  = {en}
}
@article{GrajewskiHronTurek2005,
  author    = {Grajewski, Matthias and Hron, Jaroslav and Turek, Stefan},
  title     = {Dual weighted a posteriori error estimation for a new nonconforming linear finite element on quadrilaterals},
  series = {Applied Numerical Mathematics},
  volume    = {54},
  journal   = {Applied Numerical Mathematics},
  number    = {3-4},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0168-9274},
  doi       = {10.1016/j.apnum.2004.09.016},
  pages     = {504 -- 518},
  year      = {2005},
  abstract  = {After a short introduction of a new nonconforming linear finite element on quadrilaterals recently developed by Park, we derive a dual weighted residual-based a posteriori error estimator (in the sense of Becker and Rannacher) for this finite element. By computing a corresponding dual solution we estimate the error with respect to a given target error functional. The reliability and efficiency of this estimator is analyzed in several numerical experiments.},
  language  = {en}
}
@article{GrajewskiHronTurek2006,
  author    = {Grajewski, Matthias and Hron, Jaroslav and Turek, Stefan},
  title     = {Numerical analysis for a new non-conforming linear finite element on quadrilaterals},
  series = {Journal of Computational and Applied Mathematics},
  volume    = {193},
  journal   = {Journal of Computational and Applied Mathematics},
  number    = {1},
  issn      = {0377-0427},
  doi       = {10.1016/j.cam.2005.05.024},
  pages     = {38 -- 50},
  year      = {2006},
  language  = {en}
}
@article{GossmannFrotscherLinderetal.2016,
  author    = {Goßmann, Matthias and Frotscher, Ralf and Linder, Peter and Bayer, Robin and Epple, U. and Staat, Manfred and Temiz Artmann, Ayseg{\"u}l and Artmann, Gerhard},
  title     = {Mechano-pharmacological characterization of cardiomyocytes derived from human induced pluripotent stem cells},
  series = {Cellular physiology and biochemistry},
  volume    = {38},
  journal   = {Cellular physiology and biochemistry},
  number    = {3},
  publisher = {Karger},
  address   = {Basel},
  issn      = {1421-9778 (Online)},
  doi       = {10.1159/000443124},
  pages     = {1182 -- 1198},
  year      = {2016},
  abstract  = {Background/Aims: Common systems for the quantification of cellular contraction rely on animal-based models, complex experimental setups or indirect approaches. The herein presented CellDrum technology for testing mechanical tension of cellular monolayers and thin tissue constructs has the potential to scale-up mechanical testing towards medium-throughput analyses. Using hiPS-Cardiac Myocytes (hiPS-CMs) it represents a new perspective of drug testing and brings us closer to personalized drug medication. Methods: In the present study, monolayers of self-beating hiPS-CMs were grown on ultra-thin circular silicone membranes and deflect under the weight of the culture medium. Rhythmic contractions of the hiPS-CMs induced variations of the membrane deflection. The recorded contraction-relaxation-cycles were analyzed with respect to their amplitudes, durations, time integrals and frequencies. Besides unstimulated force and tensile stress, we investigated the effects of agonists and antagonists acting on Ca²⁺ channels (S-Bay K8644/verapamil) and Na⁺ channels (veratridine/lidocaine). Results: The measured data and simulations for pharmacologically unstimulated contraction resembled findings in native human heart tissue, while the pharmacological dose-response curves were highly accurate and consistent with reference data. Conclusion: We conclude that the combination of the CellDrum with hiPS-CMs offers a fast, facile and precise system for pharmacological, toxicological studies and offers new preclinical basic research potential.},
  language  = {en}
}
@article{GossmannThomasHorvathetal.2020,
  author    = {Gossmann, Matthias and Thomas, Ulrich and Horv{\´a}th, Andr{\´a}s and Dragicevic, Elena and Stoelzle-Feix, Sonja and Jung, Alexander and Raman, Aravind Hariharan and Staat, Manfred and Linder, Peter},
  title     = {A higher-throughput approach to investigate cardiac contractility in vitro under physiological mechanical conditions},
  series = {Journal of Pharmacological and Toxicological Methods},
  volume    = {105},
  journal   = {Journal of Pharmacological and Toxicological Methods},
  number    = {Article 106843},
  publisher = {Elsevier},
  address   = {New York, NY},
  doi       = {10.1016/j.vascn.2020.106843},
  year      = {2020},
  language  = {en}
}