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Ordered nanoarrays, i.e. regular patterns of quantum structures at the nanometre scale, have recently been synthesized in a wide range of systems. Here I explore a possible route to technological exploitation: assuming a simple form of…

其他凝聚态物理 · 物理学 2007-05-23 Simon C. Benjamin

Branched molecules of deoxyribonucleic acid (DNA) can self-assemble into nanostructures through complementary cohesive strand base pairing. The production of DNA nanostructures is valuable in targeted drug delivery and biomolecular…

组合数学 · 数学 2022-03-15 D. Chloe Griffin , Jessica Sorrells

Strongly chordal graphs are a subclass of chordal graphs. The interest in this subclass stems from the fact that many problems which are NP-complete for chordal graphs are solvable in polynomial time for this subclass. However, we are not…

数据结构与算法 · 计算机科学 2018-04-25 Md. Zamilur Rahman , Asish Mukhopadhyay , Yash P. Aneja

In this paper, we introduce the notion of strong geometry, a structure composed by both the chirotope of a set of points X in the d-dimensional space and the wedge chirotope which is the specific adjoint chirotope induced by the hyperplanes…

组合数学 · 数学 2025-11-26 Baptiste Gros , Jorge L. Ramirez Alfonsin

Peptides are formed by the dehydration condensation of multiple amino acids. The primary structure of a peptide can be represented either as an amino acid sequence or as a molecular graph consisting of atoms and chemical bonds. Previous…

机器学习 · 计算机科学 2023-10-06 Zihan Liu , Ge Wang , Jiaqi Wang , Jiangbin Zheng , Stan Z. Li

Models for near-rigid shape matching are typically based on distance-related features, in order to infer matches that are consistent with the isometric assumption. However, real shapes from image datasets, even when expected to be related…

计算机视觉与模式识别 · 计算机科学 2008-09-23 Julian J. McAuley , Tiberio S. Caetano , Alexander J. Smola

The observation by Ke et al. [Science 338, 1177 (2012)] that large numbers of short, pre-designed DNA strands can assemble into three-dimensional target structures came as a great surprise, as no colloidal self-assembling system has ever…

软凝聚态物质 · 物理学 2014-06-12 Aleks Reinhardt , Daan Frenkel

Nanopores in two-dimensional (2D) materials, including graphene, can be used for a variety of applications, such as gas separations, water desalination, and DNA sequencing. So far, however, all plausible isomeric shapes of graphene…

材料科学 · 物理学 2023-08-24 Sneha Thomas , Kevin S. Silmore , Ananth Govind Rajan

Pristine monocrystalline graphene is claimed to be the strongest material known with remarkable mechanical and electrical properties. However, graphene made with scalable fabrication techniques is polycrystalline and contains inherent…

材料科学 · 物理学 2016-02-02 Ashivni Shekhawat , Robert O. Ritchie

We present a robust method to find region-level correspondences between shapes, which are invariant to changes in geometry and applicable across multiple shape representations. We generate simplified shape graphs by jointly decomposing the…

图形学 · 计算机科学 2018-03-06 Yanir Kleiman , Maks Ovsjanikov

Shape-controlled synthesis of multiply twinned nanostructures is heavily emphasized in nanoscience, in large part due to the desire to control the size, shape, and terminating facets of metal nanoparticles for applications in catalysis.…

Imposing a strong condition on the linear order of shellable complexes, we introduce strong shellability. Basic properties, including the existence of dimension-decreasing strong shelling orders, are developed with respect to nonpure…

组合数学 · 数学 2016-04-20 Jin Guo , Yi-Huang Shen , Tongsuo Wu

Nanoparticles with "sticky patches" have long been proposed as building blocks for the self-assembly of complex structures. The synthetic realizability of such patchy particles, however, greatly lags behind predictions of patterns they…

软凝聚态物质 · 物理学 2013-10-03 Michael Grünwald , Phillip L. Geissler

This paper studies the straight skeleton of polyhedra in three dimensions. We first address voxel-based polyhedra (polycubes), formed as the union of a collection of cubical (axis-aligned) voxels. We analyze the ways in which the skeleton…

计算几何 · 计算机科学 2008-05-02 Gill Barequet , David Eppstein , Michael T. Goodrich , Amir Vaxman

Grafting polymer chains on nanoparticles surfaces is a well-known route to control their self assembly and distribution in a polymer matrix. A wide variety of self assembled structures are achieved by changing the grafting patterns on an…

材料科学 · 物理学 2022-07-19 Sachin Gautham , Tarak Patra

Peptides, short chains of amino acids, interact with target proteins, making them a unique class of protein-based therapeutics for treating human diseases. Recently, deep generative models have shown great promise in peptide generation.…

生物大分子 · 定量生物学 2025-05-21 Jiahan Li , Tong Chen , Shitong Luo , Chaoran Cheng , Jiaqi Guan , Ruihan Guo , Sheng Wang , Ge Liu , Jian Peng , Jianzhu Ma

Many tools exist for extracting structural and physiochemical descriptors from linear peptides to predict their properties, but similar tools for hydrocarbon-stapled peptides are lacking.Here, we present StaPep, a Python-based toolkit…

生物大分子 · 定量生物学 2024-02-29 Zhe Wang , Jianping Wu , Mengjun Zheng , Chenchen Geng , Borui Zhen , Wei Zhang , Hui Wu , Zhengyang Xu , Gang Xu , Si Chen , Xiang Li

Research in the field of nanoplasmonic metamaterials is moving towards more and more interesting and, potentially useful, applications. The present work tackles the problem of nanoparticle self-assembly at an electrochemical solid-liquid…

化学物理 · 物理学 2018-10-12 Cristian Zagar , Ryan-Rys Griffith , Rudolf Podgornik , Alexei A. Kornyshev

To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by trihedral and tetraherdal moves. For closed braids with a…

几何拓扑 · 数学 2008-08-21 T. Fiedler , V. Kurlin

Here we develop an approach to bio-structural robustness integrated with structure-function relationship in a unified conceptual and methodological framework, and envision its study using adequate computational and experimental methods. To…

其他定量生物学 · 定量生物学 2008-06-04 Nicanor I. Moldovan