TY - JOUR A1 - Plöntzke, Julia A1 - Berg, Mascha A1 - Ehrig, Rainald A1 - Leonhard-Marek, Sabine A1 - Müller, Kerstin-Elisabeth A1 - Röblitz, Susanna T1 - Model Based Exploration of Hypokalemia in Dairy Cows JF - Scientific Reports N2 - Hypokalemia, characterized by too low serum potassium levels, is a severe mineral disorder which can be life threatening. It is increasingly diagnosed in veterinarian healthcare and a topic of ongoing research. In this paper, we explore the different originating conditions of hypokalemia: reduced potassium intake, increased excretion, acid-base disturbances, or increased insulin, by using a dynamic mathematical model for potassium balance in non-lactating and lactating cows. Simulations are compared with literature. The results give insights into the network dynamics and point to scenarios on which experimental effort should be focused. Application of mathematical models can assist in experimental planning as well as the reduction, refinement and replacement of animal experiments. Y1 - 2022 U6 - https://doi.org/10.1038/s41598-022-22596-0 VL - 12, 19781 ER - TY - GEN A1 - Schneck, Jakob A1 - Weiser, Martin A1 - Wende, Florian T1 - Impact of mixed precision and storage layout on additive Schwarz smoothers N2 - The growing discrepancy between CPU computing power and memory bandwidth drives more and more numerical algorithms into a bandwidth- bound regime. One example is the overlapping Schwarz smoother, a highly effective building block for iterative multigrid solution of elliptic equations with higher order finite elements. Two options of reducing the required memory bandwidth are sparsity exploiting storage layouts and representing matrix entries with reduced precision in floating point or fixed point format. We investigate the impact of several options on storage demand and contraction rate, both analytically in the context of subspace correction methods and numerically at an example of solid mechanics. Both perspectives agree on the favourite scheme: fixed point representation of Cholesky factors in nested dissection storage. T3 - ZIB-Report - 18-62 KW - higher order finite elements KW - mixed precision KW - overlapping Schwarz smoother Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-71305 SN - 1438-0064 ER - TY - JOUR A1 - Binkowski, Felix A1 - Zschiedrich, Lin A1 - Burger, Sven T1 - A Riesz-projection-based method for nonlinear eigenvalue problems JF - J. Comput. Phys. Y1 - 2020 U6 - https://doi.org/10.1016/j.jcp.2020.109678 VL - 419 SP - 109678 ER - TY - GEN A1 - Oates, Chris A1 - Cockayne, Jon A1 - Prangle, Dennis A1 - Sullivan, T. J. A1 - Girolami, Mark ED - Hickernell, F. J. ED - Kritzer, P. T1 - Optimality criteria for probabilistic numerical methods T2 - Multivariate Algorithms and Information-Based Complexity N2 - It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that the decision-theoretic framework is neither appropriate nor sufficient. To this end, we consider an alternative optimality criterion from Bayesian experimental design and study its implied optimal information in the numerical context. This information is demonstrated to differ, in general, from the information that would be used in an average-case-optimal numerical method. The explicit connection to Bayesian experimental design suggests several distinct regimes in which optimal probabilistic numerical methods can be developed. Y1 - 2020 U6 - https://doi.org/10.1515/9783110635461-005 VL - 27 SP - 65 EP - 88 PB - De Gruyter ER - TY - JOUR A1 - Kersting, Hans A1 - Sullivan, T. J. A1 - Hennig, Philipp T1 - Convergence rates of Gaussian ODE filters JF - Statistics and Computing Y1 - 2020 U6 - https://doi.org/10.1007/s11222-020-09972-4 VL - 30 SP - 1791 EP - 1816 PB - Springer CY - Statistics and Computing ER - TY - JOUR A1 - Stoop, Ralph L. A1 - Straube, Arthur A1 - Johansen, Tom H. A1 - Tierno, Pietro T1 - Collective directional locking of colloidal monolayers on a periodic substrate JF - Phys. Rev. Lett. N2 - We investigate the directional locking effects that arise when a monolayer of paramagnetic colloidal particles is driven across a triangular lattice of magnetic bubbles. We use an external rotating magnetic field to generate a two-dimensional traveling wave ratchet forcing the transport of particles along a direction that intersects two crystallographic axes of the lattice. We find that, while single particles show no preferred direction, collective effects induce transversal current and directional locking at high density via a spontaneous symmetry breaking. The colloidal current may be polarized via an additional bias field that makes one transport direction energetically preferred. Y1 - 2020 U6 - https://doi.org/10.1103/PhysRevLett.124.058002 VL - 124 SP - 058002 ER - TY - JOUR A1 - Lie, Han Cheng A1 - Sullivan, T. J. A1 - Teckentrup, Aretha T1 - Error bounds for some approximate posterior measures in Bayesian inference JF - Numerical Mathematics and Advanced Applications ENUMATH 2019 Y1 - 2020 U6 - https://doi.org/10.1007/978-3-030-55874-1_26 SP - 275 EP - 283 PB - Springer ER - TY - JOUR A1 - Khorashad, Larousse Khosravi A1 - Besteiro, Lucas V. A1 - Correa-Duarte, Miguel A1 - Burger, Sven A1 - Wang, Zhiming M. A1 - Govorov, Alexander O. T1 - Hot electrons generated in chiral plasmonic nanocrystals as a mechanism for surface photochemistry and chiral growth JF - J. Am. Chem. Soc. Y1 - 2020 U6 - https://doi.org/10.1021/jacs.9b11124 VL - 142 SP - 4193 ER - TY - JOUR A1 - Werdehausen, Daniel A1 - Burger, Sven A1 - Staude, Isabelle A1 - Pertsch, Thomas A1 - Decker, Manuel T1 - General design formalism for highly efficient flat optics for broadband applications JF - Opt. Express Y1 - 2020 U6 - https://doi.org/10.1364/OE.386573 VL - 28 SP - 6452 ER - TY - JOUR A1 - Pflüger, Mika A1 - Kline, R. Joseph A1 - Fernández Herrero, Analia A1 - Hammerschmidt, Martin A1 - Soltwisch, Victor A1 - Krumrey, Michael T1 - Extracting dimensional parameters of gratings produced with self-aligned multiple patterning using grazing-incidence small-angle x-ray scattering JF - J. Micro Nanolithogr. MEMS MOEMS Y1 - 2020 U6 - https://doi.org/10.1117/1.JMM.19.1.014001 VL - 19 SP - 014001 ER -