Proline-induced distortions of transmembrane helices. by Cordes, F, Bright, J, Sansom, MS

“…We have examined 199 transmembrane alpha-helices from polytopic membrane proteins of known structure. After examining the location of proline residues within the amino acid sequences of TM helices, we estimated the helix axes either side of a hinge and hence identified a hinge residue. …”

Scattering Amplitudes and Wilson Loops in Twistor Space by Adamo, T, Bullimore, M, Mason, L, Skinner, D

“…We give a brief review of other ideas in connection with amplitudes in twistor space: twistor-strings, recursion in twistor space, the Grassmannian residue formula for leading singularities and amplitudes as polytopes. This article is an invited review for a special issue of Journal of Physics A devoted to `Scattering Amplitudes in Gauge Theories'.…”

A New Switched State Jump Observer for Traffic Density Estimation in Expressways Based on Hybrid-Dynamic-Traffic-Network-Model by Wenbin Zha, Yuqi Guo, Huawei Wu, Miguel Angel Sotelo, Yulin Ma, Qian Yi, Zhixiong Li, Xin Sun

“…In this study, the expressway network is firstly modeled as the special discrete switched system, which is called the piecewise affine system model, a partition of state subspace is introduced, and the convex polytopes are utilized to describe the combination modes of cells. …”
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Model Predictive Control of Uninterruptible Power Supply with Robust Disturbance Observer by Yahya Danayiyen, Kyungsuk Lee, Minho Choi, Young Il Lee

“…Model uncertainties are defined using polytopic uncertainty class, and a linear matrix inequality (LMI) optimization method is used to compute the optimal observer gain matrix. …”
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The lysosomal transporter MFSD1 is essential for liver homeostasis and critically depends on its accessory subunit GLMP by David Massa López, Melanie Thelen, Felix Stahl, Christian Thiel, Arne Linhorst, Marc Sylvester, Irm Hermanns-Borgmeyer, Renate Lüllmann-Rauch, Winnie Eskild, Paul Saftig, Markus Damme

“…The export of low-molecular-weight catabolic end-products is facilitated by polytopic transmembrane proteins mediating secondary active or passive transport. …”
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Refolding of an integral membrane protein. Denaturation, renaturation, and reconstitution of intact bacteriorhodopsin and two proteolytic fragments. by Huang, K, Bayley, H, Liao, M, London, E, Khorana, H

“…The complete denaturation and subsequent renaturation and reconstitution of a polytopic integral membrane protein are demonstrated. …”

ECOLOGICAL AND FAUNISTIC REVIEW OF COCCINELLIDAE (COLEOPTERA, COCCINELLIDAE) IN THE REPUBLIC OF DAGESTAN by G. M. Mukhtarova, G. M. Nakhibasheva

“…We carried out an analysis on distribution of the species in the high altitude range; identified environmental groups by biotopic preferendum: xerophyllous, mesophyll meadow-steppe, mesophyll forest, and Hygrophila and polytopic species; according to trophic adaptation: Aphidophages, Coccidophages, Mycetophages, Entomophages and Phytophages; We held a zoogeographical analysis of coccinellidae of Dagestan and according to habitat type, 8 zoogeographic groups were identified; We conducted phenological observations of the study sites, stages and timing of winter and winter dormancy, the beginning of mating, egg-laying, the duration of certain stages, the number of generations and other features.Conclusion. …”
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Interaction mapping of endoplasmic reticulum ubiquitin ligases identifies modulators of innate immune signalling by Fenech, EJ, Lari, F, Charles, PD, Fischer, R, Laétitia-Thézénas, M, Bagola, K, Paton, AW, Paton, JC, Gyrd-Hansen, M, Kessler, BM, Christianson, J

“…Among these were four membrane-embedded interactors of RNF26, a polytopic E3 whose abundance is auto-regulated by ubiquitin-proteasome dependent degradation. …”

Distributed stochastic MPC for systems with parameter uncertainty and disturbances by Dai, L, Xia, Y, Gao, Y, Cannon, M

“…The uncertain part is further divided into two parts: the first one is constrained to lie in probabilistic tubes that are calculated offline through the use of the probabilistic information on disturbances, whereas the second one is constrained to lie in polytopic tubes whose volumes are optimized online and whose facets’ orientations are determined offline. …”

Distributed stochastic MPC of linear systems with parameter uncertainty and disturbances by Dai, L, Xia, Y, Gao, Y, Cannon, M

“…The latter one is further divided into two parts: one is bounded by probabilistic tubes that are calculated offline by making full use of the probabilistic information on disturbances, whereas the other is bounded by polytopic tubes whose scaling is optimized online and whose facets' orientations are chosen offline. …”

Causal bounds and instruments by Ramsahai, R

“…Using an approach based on the analysis of convex polytopes, we develop bounds for the same causal effect when given data on (C, A) and (B, A) only. …”

Distributed stochastic MPC of linear systems with parameter uncertainty and disturbances by Dai, L, Xia, Y, Gao, Y, Cannon, M

“…The latter one is further divided into two parts: one is bounded by probabilistic tubes that are calculated offline by making full use of the probabilistic information on disturbances, whereas the other is bounded by polytopic tubes whose scaling is optimized online and whose facets’ orientations are chosen offline. …”

A Novel Real-Time Mechanism Modeling Approach for Turbofan Engine by Qianjing Chen, Jinquan Huang, Muxuan Pan, Feng Lu

“…Then, the model is extended throughout the full flight envelope in a polytopic expression and is integrated with the flow path calculation to obtain satisfactory real-time performance. …”
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Hybridization as a biodiversity driver: The case of Veronica × gundisalvi by Noemí López-González, Javier Bobo-Pinilla, David Gutiérrez-Larruscain, Maria Montserrat Martínez-Ortega, Blanca María Rojas-Andrés

“…Based on morphological data, Veronica × gundisalvi Sennen (Veronica orsiniana × V. tenuifolia subsp. tenuifolia) is an Iberian endemic taxon of presumably polytopic hybrid origin restricted to five localities in Catalonia, where the putative parental species grow in sympatry. …”
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What Is in a Simplicial Complex? A Metaplex-Based Approach to Its Structure and Dynamics by Manuel Miranda, Gissell Estrada-Rodriguez, Ernesto Estrada

“…We make a detailed analysis of the generalities and possible extensions of this model beyond simplicial complexes, e.g., from polytopal and cell complexes to manifold complexes, and apply it to a real-world simplicial complex representing the visual cortex of a macaque.…”
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Separators in Continuous Petri Nets by Michael Blondin, Javier Esparza

“…We further consider the more general problem of (existential) set-to-set reachability, where two sets of markings are given as convex polytopes. We show that, while our approach does not extend directly, we can efficiently certify unreachability via an altered Petri net.…”
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Clinical effectiveness of magnesium orotate in patients with cardiac arrhythmias, arterial hypertension, and mitral valve prolapse by E. V. Akatova, O. P. Nikolin, A. I. Martynov

“…The number of ventricular extrasystoles was reduced in 26%, and they disappeared in 54%. In 8%,  polytopic ventricular extrasystoles were substituted by occasional monotopic extrasystoles. …”
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The order of birational rowmotion by Darij Grinberg, Tom Roby

“…In very recent work (inspired by discussions with Berenstein) Einstein and Propp describe how rowmotion can be generalized: first to the piecewise-linear setting of order polytopes, then via detropicalization to the birational setting. …”
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Parabolic double cosets in Coxeter groups by Sara Billey, Matjaz Konvalinka, T. Kyle Petersen, William Slofstra, Bridget Tenner

“…Parabolic subgroups WI of Coxeter systems (W,S) and their ordinary and double cosets W/WI and WI\W/WJ appear in many contexts in combinatorics and Lie theory, including the geometry and topology of generalized flag varieties and the symmetry groups of regular polytopes. The set of ordinary cosets wWI , for I ⊆ S, forms the Coxeter complex of W , and is well-studied. …”
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Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures by Dascha Dobrovolskij, Katja Schladitz

“…To this end, we utilize Laguerre tessellations generated by random sphere packings dividing space into convex polytopes—the cells. The cells represent grains in a real polycrystal. …”
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