Interactive 3D Simulation of Escher-like Impossible Worlds

figures and impossible worlds. Many of his works illustrate mathematical and geometrical concepts such as perspective and limits. Works by Escher have motivated scientists over the years to discover the mathematical foundations of his work, ultimately leading to applications that are able to model and render scenes similar to the ones created by Escher. Presented is an application that is capable of displaying a special class of impossible worlds that have been created by the artist. The software displays worlds that appear physically correct, but are connected in an impossible manner, similar to Escher’s Another World II or Relativity. Portal rendering is employed to create real-time interactive visualizations of such scenes, which can be freely explored by the user

Probing Microsecond Time Scale Dynamics in Proteins by Methyl 1H Carr−Purcell−Meiboom−Gill Relaxation Dispersion NMR Measurements. Application to Activation of the Signaling Protein NtrCr

To study microsecond processes by relaxation dispersion NMR spectroscopy, low power deposition and short pulses are crucial and encourage the development of experiments that employ H-1 Carr-Purcell-Meiboom-Gill (CPMG) pulse trains. Herein, a method is described for the comprehensive study of microsecond to millisecond time scale dynamics of methyl groups in proteins, exploiting their high abundance and favorable relaxation properties. In our approach, protein samples are produced using [H-1, C-13]-D-glucose in similar to 100% D2O, which yields CHD2 methyl groups for alanine, valine, threonine, isoleucine, leucine, and methionine residues with high abundance, in an otherwise largely deuterated background. Methyl groups in such samples can be sequence-specifically assigned to near completion, using C-13 TOCSY NMR spectroscopy, as was recently demonstrated (Often, R.; et al. J. Am. Chem. Soc. 2010, 132, 2952-2960). In this Article, NMR pulse schemes are presented to measure H-1 CPMG relaxation dispersion profiles for CHD2 methyl groups, in a vein similar to that of backbone relaxation experiments. Because of the high deuteration level of methyl-bearing side chains, artifacts arising from proton scalar coupling during the CPMG pulse train are negligible, with the exception of Ile-delta 1 and Thr-gamma 2 methyl groups, and a pulse scheme is described to remove the artifacts for those residues. Strong C-13 scalar coupling effects, observed for several leucine residues, are removed by alternative biochemical and NMR approaches. The methodology is applied to the transcriptional activator NtrC(r), for which an inactive/active state transition was previously measured and the motions in the microsecond time range were estimated through a combination of backbone N-15 CPMG dispersion NMR spectroscopy and a collection of experiments to determine the exchange-free component to the transverse relaxation rate. Exchange contributions to the H-1 line width were detected for 21 methyl groups, and these probes were found to collectively report on a local structural rearrangement around the phosphorylation site, with a rate constant of (15.5 +/- 0.5) x 10(3) per second (i.e., tau(ex) = 64.7 +/- 1.9 mu s). The affected methyl groups indicate that, already before phosphorylation, a substantial, transient rearrangement takes place between helices 3 and 4 and strands 4 and 5. This conformational equilibrium allows the protein to gain access to the active, signaling state in the absence of covalent modification through a shift in a pre-existing dynamic equilibrium. Moreover, the conformational switching maps exactly to the regions that differ between the solution NMR structures of the fully inactive and active states. These results demonstrate that a cost-effective and quantitative study of protein methyl group dynamics by H-1 CPMG relaxation dispersion NMR spectroscopy is possible and can be applied to study functional motions on the microsecond time scale that cannot be accessed by backbone N-15 relaxation dispersion NMR. The use of methyl groups as dynamics probes extends such applications also to larger proteins

Animation, Cultural heritage

Another World II is a print by the famous Dutch artist M. C. Escher, depicting a cube with arch-like openings on each side. What makes the print interesting is that the depicted views in the arches are inconsistent, leaving the spectator puzzled as to the “impossible assembly ” of views from different perspectives. In our work we invite the reader – and more so, the user of our software – to explore the strange geometry of this work by flying through a virtual Another World. The rendering of the inconsistent views is achieved by applying Portal Rendering. We point out the novelty of our work with respect to previous 3D computer models of different “impossible worlds” by M. C. Escher. We also suggest potential application contexts beyond the straightforward 3D reconstruction o

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Geofysische technieken op prehistorische grafheuvels. Wat levert het op?

European Prehistor