Filament tension and phase-locked drift of meandering scroll waves

This paper was subsequently published in Physical Review Letters vol. 119, article 258101 (DOI: http://hdl.handle.net/10871/31612). The author accepted manuscript of the published article is in ORE: http://hdl.handle.net/10871/31612Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which include the rotors that organise cardiac arrhythmias, exhibit filament tension when averaged over the meander cycle. With strong filament curvature or medium thickness gradients, however, scroll wave dynamics are governed by phase-locked drift instead of filament tension. Our results are validated in computational models of cycloidal meander and a cardiac tissue model with linear core.This paper was subsequently published in Physical Review Letters, vol. 119, article 258101 (DOI: 10.1103/PhysRevLett.119.258101). The accepted version is in ORE at http://hdl.handle.net/10871/3161

Filament Tension and Phase Locking of Meandering Scroll Waves

This is the author accepted manuscript. The final version is available from American Physical Society via the DOI in this recordThe version of this paper which was originally published at arXiv.org is in ORE: http://hdl.handle.net/10871/25921Meandering spiral waves are often observed in excitable media such as the Belousov-Zhabotinsky reaction and cardiac tissue. We derive a theory for drift dynamics of meandering rotors in general reaction-diffusion systems and apply it to two types of external disturbances: an external field and curvature-induced drift in three dimensions. We find two distinct regimes: with small filament curvature, meandering scroll waves exhibit filament tension, whose sign determines the stability and drift direction. In the regimes of strong external fields or meandering motion close to resonance, however, phase locking of the meander pattern is predicted and observed.H. D. was funded by FWO-Flanders during part of this work. The computational resources (Stevin Supercomputer Infrastructure) and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by Ghent University, FWO and the Flemish Government–department EWI. I. V. B. and V. N. B. gratefully acknowledge EPSRC (UK) support via Grant No. EP/D074789/1. I. V. B. acknowledges EPSRC (UK) support via Grant No. EP/P008690/1. V. N. B. acknowledges EPSRC (UK) current support via Grant No. EP/N014391/1 (UK)

Filament Tension and Phase Locking of Meandering Scroll Waves

Meandering spiral waves are often observed in excitable media such as the Belousov-Zhabotinsky reaction and cardiac tissue. We derive a theory for drift dynamics of meandering rotors in general reaction-diffusion systems and apply it to two types of external disturbances: an external field and curvature-induced drift in three dimensions. We find two distinct regimes: with small filament curvature, meandering scroll waves exhibit filament tension, whose sign determines the stability and drift direction. In the regimes of strong external fields or meandering motion close to resonance, however, phase locking of the meander pattern is predicted and observed

One pot ‘click’ reactions: tandem enantioselective biocatalytic epoxide ring opening and [3+2] azide alkyne cycloaddition

Halohydrin dehalogenase (HheC) can perform enantioselective azidolysis of aromatic epoxides to 1,2-azido alcohols which are subsequently ligated to alkynes producing chiral hydroxy triazoles in a one-pot procedure with excellent enantiomeric excess.

Drift of scrollwaves in a mathematical model of a heterogeneous human heart left ventricle

Rotating spiral waves of electrical excitation underlie many dangerous cardiac arrhythmias. The heterogeneity of myocardium is one of the factors that affects the dynamics of such waves. In this paper, we present results of our simulations for scroll wave dynamics in a heterogeneous model of the human left ventricle with analytical anatomically based representation of the geometry and anisotropy. We used a set of 18 coupled differential equations developed by ten Tusscher and Panfilov (TP06 model) which describes human ventricular cells based on their measured biophysical properties. We found that apicobasal heterogeneity dramatically changes the scroll wave dynamics. In the homogeneous model, the scroll wave annihilates at the base, but the moderate heterogeneity causes the wave to move to the apex and then continuously rotates around it. The rotation speed increased with the degree of the heterogeneity. However, for large heterogeneity, we observed formation of additional wavebreaks and the onset of complex spatio-temporal patterns. Transmural heterogeneity did not change the dynamics and decreased the lifetime of the scroll wave with an increase in heterogeneity. Results of our numerical experiments show that the apex may be a preferable location of the scroll wave, which may be important for development of clinical interventions. © 2020 by the authors.AAAA-A18-118020590031-8Russian Foundation for Basic Research, RFBR: 18-29-13008Russian Science Foundation, RSF: 14-35-00005Ural Federal University, UrFUP.K., S.P., O.S., and A.V.P. were funded by the Russian Science Foundation (project 14-35-00005). A.V.P., P.K., and O.S. were funded by the Russian Foundation for Basic Research (#18-29-13008). A.V.P. and O.S. were funded by RF Government Act #211 of 16 March 2013 (agreement 02. A03.21.0006). P.K. and O.S. work was carried out within the framework of the IIF UrB RAS theme No. AAAA-A18-118020590031-8. A.V.P. and H.D. were partially funded by BOF Ghent University. Simulations were performed at the supercomputer Uran of Institute of Mathematics and Mechanics (Ekaterinburg, Russia) and at the supercomputer of Ural Federal University (Ekaterinburg, Russia)

November 12, 1976

The Breeze is the student newspaper of James Madison University in Harrisonburg, Virginia

Kleine kinderen, kleine zorgen? Ondersteuningsbehoeften van ouders met zuigelingen in relatie tot ouder-, kind- en gezinskenmerken

status: publishe

Light-Element Abundance Variations at Low Metallicity: the Globular Cluster NGC 5466

We present low-resolution (R~850) spectra for 67 asymptotic giant branch (AGB), horizontal branch and red giant branch (RGB) stars in the low-metallicity globular cluster NGC 5466, taken with the VIRUS-P integral-field spectrograph at the 2.7-m Harlan J. Smith telescope at McDonald Observatory. Sixty-six stars are confirmed, and one rejected, as cluster members based on radial velocity, which we measure to an accuracy of 16 km s-1 via template-matching techniques. CN and CH band strengths have been measured for 29 RGB and AGB stars in NGC 5466, and the band strength indices measured from VIRUS-P data show close agreement with those measured from Keck/LRIS spectra previously taken of five of our target stars. We also determine carbon abundances from comparisons with synthetic spectra. The RGB stars in our data set cover a range in absolute V magnitude from +2 to -3, which permits us to study the rate of carbon depletion on the giant branch as well as the point of its onset. The data show a clear decline in carbon abundance with rising luminosity above the luminosity function "bump" on the giant branch, and also a subdued range in CN band strength, suggesting ongoing internal mixing in individual stars but minor or no primordial star-to-star variation in light-element abundances.Comment: 10 pages, emulateapj format, AJ accepte

Rapid reduction of sigma(1)-Receptor binding and F-18-FDG uptake in rat gliomas after in vivo treatment with doxorubicin

sigma-Receptors are strongly overexpressed in most rodent and human tumors and are proliferation markers. To evaluate the potential of a radiolabeled sigma(1)-ligand for therapy monitoring, we compared early changes of C-11-1-(3,4-dimethoxyphenethyl)-4-(3-phenylpropyl)piperazine (C-11-SA4503) binding and F-18-FDG uptake in gliomas after in vivo chemotherapy. Methods: C6 cells (2.5 x 10(6)) were subcutaneously injected into the right shoulder of male Wistar rats. After 7 cl, the tumor volume was 0.60 +/- 0.08 cm(3). Animals then received either saline or doxorubicin (8 mg/kg, intraperitoneally). One control and 1 treated rat were imaged simultaneously, 24 or 48 h after treatment, under pentobarbital anesthesia. Rodents (n = 20) were scanned first with C-11-SA4503 (25 MBq, intravenously) followed more than 100 min afterward by 18F-FDG (20 MBq, intravenously), using a dedicated small-animal PET camera (60-min protocol, tumors in the field of view). Tumor homogenates were prepared and subjected to sigma-receptor assays. The biodistribution of 18F-FDG was assessed. Results: Tumors appeared 4-5 d after inoculation and grew exponentially. No significant reduction of tumor growth was visible within 48 h after doxorubicin treatment. Both PET tracers visualized the tumors and showed reduced uptake after chemotherapy (C-11-SA4503: 26.5% +/- 6.5% at 24 h, 26.5% +/- 7.5% at 48 h; 18F-FDG: 22.6% +/- 3.2% at 24 h, 27.4% +/- 3.2% at 48 h; ex vivo F-18-FDG: 22.4% +/- 5.4% at 24 h, 31.7% +/- 12.7% at 48 h). sigma(1)-Receptor density in treated tumors was also reduced (from 172 +/- 35 to 125 +/- 28 fmol/mg of protein). Conclusion: Both C-11-SA4503 binding and 18F-FDG uptake declined in gliomas after chemotherapy. Decreased binding of C-11-SA4503 corresponded to a loss of (sigma(1)-receptors from the tumors. Changes in tracer uptake preceded the morphologic changes by at least 48 h