Numerical Computations with H(div)-Finite Elements for the Brinkman Problem

The H(div)-conforming approach for the Brinkman equation is studied numerically, verifying the theoretical a priori and a posteriori analysis in previous work of the authors. Furthermore, the results are extended to cover a non-constant permeability. A hybridization technique for the problem is presented, complete with a convergence analysis and numerical verification. Finally, the numerical convergence studies are complemented with numerical examples of applications to domain decomposition and adaptive mesh refinement.Comment: Minor clarifications, added references. Reordering of some figures. To appear in Computational Geosciences, final article available at http://www.springerlink.co

In vitro toxicokinetics and analytical toxicology of three novel NBOMe derivatives - Phase I and II metabolism, plasma protein binding, and detectability in standard urine screening approaches studied by means of hyphenated mass spectrometry

Purpose Toxicokinetic studies are essential in clinical and forensic toxicology to understand drug-drug interactions, influence of individual polymorphisms, and elimination routes, as well as to evaluate targets for toxicological screening procedures. An N-(2-methoxybenzyl)-substituted phenethylamines (NBOMe analogues) intake has been associated with severe adverse reactions including deaths. 1-(1-Benzofuran-5-yl)-N-[(2-methoxyphenyl)methyl]propan-2-amine (5-APB-NBOMe), 2-(8-bromo-2,3,6,7-tetrahydrobenzo[1,2-b:4,5-b′]difuran-4-yl)-N-[(5-chloro-2-ethoxyphenyl)methyl]ethan-1-amine (2C-B-FLY-NB2EtO5Cl), and 2-(8-bromo-2,3,6,7-tetrahydrobenzo[1,2-b:4,5-b′]difuran-4-yl)-N-[(2-methoxyphenyl)methyl]ethan-1-amine (2C-BFLY-NBOMe) are three emerging NBOMe analogues, which have encountered on the drugs of abuse market. So far, their toxicokinetic data are completely unexplored. Methods The study included mass spectrometry-based identification of phase I and II metabolites following exposure to the terminally differentiated human hepatocellular carcinoma cells (HepaRG). The determination of enzymes involved in the major phase I/II metabolic steps and determination of plasma protein binding (PPB) was done. Finally, the evaluation of the toxicological detectability by different hyphenated mass spectrometry techniques in standard urine screening approaches (SUSAs) was investigated. Results The compounds were extensively metabolized in HepaRG cells mainly via O-dealkylation, hydroxylation, glucuronidation, and combinations thereof. CYP1A2, 2D6, 2C8, 2C19, and 3A4, were involved in the initial reactions of all investigated compounds. Glucuronidation of the phase I metabolites – when observed - was mainly catalyzed by UGT1A9. The PPB of all compounds was determined to be > 85%. Only the high-resolution mass spectrometry-based SUSA allowed detection of all compounds in rat urine but only via metabolites. Conclusions The toxicokinetic data provided by this study will help forensic and clinical toxicologists to reliably identify these substances in case of abuse and/or intoxication and will allow them a thorough risk assessment

Sub-voxel Perfusion Modeling in Terms of Coupled 3d-1d Problem

We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal preconditioner for the model equations and demonstrate its robustness by numerical experiments. We compare our model to a macroscale model by Tofts [Modelling in DCE MRI, 2012]

Can Shunt Response in Patients with Idiopathic Normal Pressure Hydrocephalus Be Predicted from Preoperative Brain Imaging? A Retrospective Study of the Diagnostic Use of the Normal Pressure Hydrocephalus Radscale in 119 Patients

BACKGROUND AND PURPOSE: The Normal Pressure Hydrocephalus Radscale is a combined scoring of 7 different structural imaging markers on preoperative brain CT or MR imaging in patients with idiopathic normal pressure hydrocephalus: callosal angle, Evans Index, Sylvian fissure dilation, apical sulcal narrowing, mean temporal horn diameter, periventricular WM lesions, and focal sulcal dilation. The purpose of this retrospective study was to assess the performance of the Normal Pressure Hydrocephalus Radscale in distinguishing idiopathic normal pressure hydrocephalus shunt responders from nonresponders. MATERIALS AND METHODS: The preoperative MR imaging and CT scans of 119 patients with idiopathic normal pressure hydrocephalus were scored using the Normal Pressure Hydrocephalus Radscale. A summary shunt-response score assessed within 6 months from ventriculoperitoneal shunt surgery, combining the effect on cognition, gait, and urinary incontinence, was used as a reference. The difference between the mean Normal Pressure Hydrocephalus Radscale for responders and nonresponders was tested using the Student t test. The area under the curve was calculated for the Normal Pressure Hydrocephalus Radscale to assess shunt response. To ascertain reproducibility, we assessed the interobserver agreement between the 2 independent observers as intraclass correlation coefficients for the Normal Pressure Hydrocephalus Radscale for 74 MR imaging scans and 19 CT scans. RESULTS: Ninety-four (79%) of 119 patients were shunt responders. The mean Normal Pressure Hydrocephalus Radscale score for shunt responders was 8.35 (SD, 1.53), and for nonresponders, 7.48 (SD, 1.53) (P = .02). The area under the curve for the Normal Pressure Hydrocephalus Radscale was 0.66 (range, 0.54–0.78). The intraclass correlation coefficient for the Normal Pressure Hydrocephalus Radscale was 0.86 for MR imaging and 0.82 for CT. CONCLUSIONS: The Normal Pressure Hydrocephalus Radscale showed moderate discrimination for shunt response but cannot, on its own, be used for selecting patients with idiopathic normal pressure hydrocephalus for shunt surgery

firedrakeproject/ufl: The Unified Form Language

This release is specifically created to document the version of ufl used in a particular set of experiments using Firedrake. Please do not cite this as a general source for Firedrake or any of its dependencies. Instead, refer to https://www.firedrakeproject.org/citing.htmlThis release is specifically created to document the version of ufl used in a particular set of experiments using Firedrake. Please do not cite this as a general source for Firedrake or any of its dependencies. Instead, refer to https://www.firedrakeproject.org/citing.html20181204.

firedrakeproject/ufl: The Unified Form Language

firedrakeproject/ufl: The Unified Form Languagefiredrakeproject/ufl: The Unified Form LanguageFiredrake_20190815.