Computational model of membrane fission catalyzed by ESCRT-III

ESCRT-III proteins catalyze membrane fission during multi vesicular body biogenesis, budding of some enveloped viruses and cell division. We suggest and analyze a novel mechanism of membrane fission by the mammalian ESCRT-III subunits CHMP2 and CHMP3. We propose that the CHMP2-CHMP3 complexes self-assemble into hemi-spherical dome-like structures within the necks of the initial membrane buds generated by CHMP4 filaments. The dome formation is accompanied by the membrane attachment to the dome surface, which drives narrowing of the membrane neck and accumulation of the elastic stresses leading, ultimately, to the neck fission. Based on the bending elastic model of lipid bilayers, we determine the degree of the membrane attachment to the dome enabling the neck fission and compute the required values of the protein-membrane binding energy. We estimate the feasible values of this energy and predict a high efficiency for the CHMP2-CHMP3 complexes in mediating membrane fission. We support the computational model by electron tomography imaging of CHMP2-CHMP3 assemblies in vitro. We predict a high efficiency for the CHMP2-CHMP3 complexes in mediating membrane fission.

The lily, client and measure of Bruno Taut’s Glashaus

The Glashaus is considered a significant exemplar of early modernist architecture and is generally accepted as having had Expressionist origins. However, current research has revealed that the design origins of this important building are not fully understood. While the historical record acknowledges the contributions of the bohemian poet Paul Scheerbart and the art critic Adolf Behne, the role of the Glashaus’ architect, Bruno Taut, has been moderated. In an attempt to rectify this situation this article proposes that the design origins of the Glashaus can be found in a strong architect-client interaction. It is argued that the Glashaus’ client, the Deutsche Luxfer Prismen Syndikat under the directorship of Frederick Keppler, exerted a significant influence on its design. In order to showcase the glazed products of Luxfer in the best manner possible, Keppler insisted that the design feature a glazed dome, electric lighting, a fountain as well as a cascade. Given the detailed stipulations of this brief, Taut had few options other than to offer interpretations of precedent that derived from the Victoria regia lily and Gothic proportioning. By expounding this architect-client relationship, this article expands our understanding of the Glashaus, and reinvigorates our understanding of this important early example of modern architecture.

On the order of the fractional Laplacian in determining the spatio-temporal evolution of a space-fractional model of cardiac electrophysiology

Space-fractional operators have been used with success in a variety of practical applications to describe transport processes in media characterised by spatial connectivity properties and high structural heterogeneity altering the classical laws of diffusion. This study provides a systematic investigation of the spatio-temporal effects of a space-fractional model in cardiac electrophysiology. We consider a simplified model of electrical pulse propagation through cardiac tissue, namely the monodomain formulation of the Beeler-Reuter cell model on insulated tissue fibres, and obtain a space-fractional modification of the model by using the spectral definition of the one-dimensional continuous fractional Laplacian. The spectral decomposition of the fractional operator allows us to develop an efficient numerical method for the space-fractional problem. Particular attention is paid to the role played by the fractional operator in determining the solution behaviour and to the identification of crucial differences between the non-fractional and the fractional cases. We find a positive linear dependence of the depolarization peak height and a power law decay of notch and dome peak amplitudes for decreasing orders of the fractional operator. Furthermore, we establish a quadratic relationship in conduction velocity, and quantify the increasingly wider action potential foot and more pronounced dispersion of action potential duration, as the fractional order is decreased. A discussion of the physiological interpretation of the presented findings is made.