Interaction of Presenilin-1 C-terminal fragment with FKBP38 by Tai, Jeff Seng Thong

“…The gene product of familial Alzheimer’s disease, presenilin-1 (PS-1), is a polytopic protein consisting of eight transmembrane domains and is predominantly localized in the endoplasmic reticulum (ER) and Golgi apparatus. …”
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Quaternionic Geometry of Matroids by Hausel, T

“…We show that just like toric varieties occupy a central role in Stanley's proof for the necessity of McMullen's conjecture (or g-inequalities) about the classification of face vectors of simplicial polytopes, the topology of toric hyperkaehler varieties leads to new restrictions on face vectors of matroid complexes. …”

Bounding-volume hierarchies for detecting object interference in urban simulation by Bade, Abdullah, Daman, Daut

“…For example, convex polytopes tend to solve accuracy problems but left behind the speed of collision detection. …”

1-Skeletons of the Spanning Tree Problems with Additional Constraints by V. A. Bondarenko, A. V. Nikolaev, D. A. Shovgenov

“…The recognition versions of both problems are NP-complete. We consider polytopes of these problems and their 1-skeletons. …”
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A Geometrical, Reachable Set Approach for Constrained Pursuit–Evasion Games with Multiple Pursuers and Evaders by Olli Jansson, Matthew W. Harris

“…The strategy first generates polytopic inner approximations of the players’ reachable sets by solving a sequence of convex programs. …”
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Two novel GJA1 variants in oculodentodigital dysplasia by Nikolai P. Pace, Valerie Benoit, David Agius, Maria Angela Grima, Raymond Parascandalo, Pascale Hilbert, Isabella Borg

“…GJA1 gene encodes a polytopic connexin membrane protein, Cx43, that is a component of connexon membrane channels. …”
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Asynchronous bumpless stabilisation of uncertain switched linear positive systems with mixed time delay and L1‐gain performance by Mohammad Ali Nojoumian, Moosa Ayati, Mohammad Reza Zakerzadeh

“…Also, the results are improved to cover the uncertain SPLTDSs with interval or polytopic uncertainties. Then, asynchronous switching is considered, and the proposed method is extended to deals with asynchronous switching mode. …”
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3D Path Following Control of an Autonomous Underwater Robotic Vehicle Using Backstepping Approach Based Robust State Feedback Optimal Control Law by Siddhartha Vadapalli, Subhasish Mahapatra

“…The control strategy is developed using a polytopic approach based on hydrodynamic parameter variation. …”
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Small and strong formulations for unions of convex sets from the Cayley embedding by Vielma Centeno, Juan Pablo

“…To develop this technique we introduce a natural nonpolyhedral generalization of the Cayley embedding of a family of polytopes and show it inherits many geometric properties of the original embedding. …”
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Polynomiality for Bin Packing with a Constant Number of Item Types by Goemans, Michel X, Rothvoss, Thomas

“…In fact, for constant d our algorithm solves the following problem in polynomial time: Given two d-dimensional polytopes P and Q, find the smallest number of integer points in P whose sum lies in Q. …”
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Polynomiality for Bin Packing with a Constant Number of Item Types by Goemans, Michel X., Rothvoss, Thomas

“…In fact, for constant d our algorithm solves the following problem in polynomial time: Given two d-dimensional polytopes P and Q, find the smallest number of integer points in P whose sum lies in Q. …”
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Polynomiality for Bin Packing with a Constant Number of Item Types by Goemans, Michel X., Rothvoss, Thomas

“…In fact, for constant d our algorithm solves the following problem in polynomial time: given two d-dimensional polytopes P and Q, find the smallest number of integer points in P whose sum lies in Q. …”
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Quantization-uncertainty-dependent analysis and control of linear systems with multi-input–multi-output quantization by Ning, Zepeng, Yin, Xunyuan, Shi,Yang

“…To improve the numerical testability of the obtained results, a polytopic approach approximating the MIMO quantization uncertainties is developed. …”
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Notes on Equitable Partitions into Matching Forests in Mixed Graphs and into $b$-branchings in Digraphs by Kenjiro Takazawa

“…We then derive the integer decomposition property of the associated polytopes.…”
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A two-tiered system for selective receptor and transporter protein degradation. by Charlotte Kathleen Golden, Thomas David Daniel Kazmirchuk, Erin Kate McNally, Mariyam El Eissawi, Zeynep Derin Gokbayrak, Joël Denis Richard, Christopher Leonard Brett

“…Thus, the ILF pathway functions as fail-safe layer of defense when ESCRTs disregard their clients, representing a two-tiered system that ensures degradation of surface polytopic proteins.…”
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Generation of a Polyclonal Antibody against the Mouse Metal Transporter ZIP8 by Guojun Wei, Yuze Wu, Ningning Zhao

“…In addition, our study may provide valuable insights into the future development of antibodies targeting polytopic membrane proteins.…”
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Counting the learnable functions of geometrically structured data by Pietro Rotondo, Marco Cosentino Lagomarsino, Marco Gherardi

“…As an application, we obtain a closed formula for the capacity of a binary classifier trained to distinguish general polytopes of any dimension. These results extend our theoretical understanding of the role of data structure in machine learning, and provide useful quantitative tools for the analysis of generalization, feature extraction, and invariant object recognition by neural networks.…”
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Comparing products of Schur functions and quasisymmetric functions by Pylyavskyy, Pavlo

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The combinatorics of adinkras by Zhang, Yan, Ph. D. Massachusetts Institute of Technology

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EMC is required for biogenesis of Xport-A, an essential chaperone of Rhodopsin-1 and the TRP channel by Gaspar, CJ, Vieira, LC, Santos, CC, Christianson, JC, Jakubec, D, Strisovsky, K, Adrain, C, Domingos, PM

“…The ER membrane protein complex (EMC) is required for the biogenesis of a subset of tail anchored (TA) and polytopic membrane proteins, including Rhodopsin-1 (Rh1) and the TRP channel. …”