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We use Monte Carlo simulations and free-energy techniques to show that binary solutions of penta- and hexavalent two-dimensional patchy particles can form thermodynamically stable quasicrystals even at very narrow patch widths, provided…

Soft Condensed Matter · Physics 2016-11-11 Aleks Reinhardt , John S. Schreck , Flavio Romano , Jonathan P. K. Doye

The conception of multi-alphabetical genetics is represented. Matrix forms of the representation of the multi-level system of molecular-genetic alphabets have revealed algebraic properties of this system. These properties are connected with…

Other Quantitative Biology · Quantitative Biology 2013-01-18 Sergey V. Petoukhov

Recently machine learning algorithms based on deep layered artificial neural networks (DNNs) have been applied to a wide variety of high energy physics problems such as jet tagging or event classification. We explore a simple but effective…

High Energy Physics - Experiment · Physics 2018-11-30 Jason Lee , Inkyu Park , Sangnam Park

The early promises of DNA computing to deliver a massively parallel architecture well-suited to computationally hard problems have so far been largely unkept. Indeed, it is probably fair to say that only toy problems have been addressed…

Cryptography and Security · Computer Science 2007-05-23 Olivier Pelletier , Andre Weimerskirch

A double stranded DNA molecule under the stress of a pulling force acting on the strand terminals exhibits a partially denatured structure or can be completely unzipped depending the magnitude of the pulling force. A scaling argument for…

Statistical Mechanics · Physics 2009-09-25 Jeff Z. Y. Chen

In this paper, we present an optical computing method for string data alignment applicable to genome information analysis. By applying moire technique to spatial encoding patterns of deoxyribonucleic acid (DNA) sequences, association…

The operation of binary intermolecular recombination, originating in the theory of DNA computing, permits a natural generalization to n-ary operations which perform simultaneous recombination of n molecules. In the case n = 3, we use…

Rings and Algebras · Mathematics 2010-08-13 Murray R. Bremner

DNA nanotechnology promises to provide controllable self-assembly on the nanoscale, allowing for the design of static structures, dynamic machines and computational architectures. In this article I review the state-of-the art of DNA…

Soft Condensed Matter · Physics 2015-07-13 Thomas E. Ouldridge

The presence of low dimensional chaos in the protein secondary structures, using the binary coded $\alpha$-helices and $\beta$-sheet motifs, has been investigated. In order to analyse symbolic DNA/RNA sequences the assignment, based on the…

Biological Physics · Physics 2007-05-23 M. Martinis

Crossover motifs are integral components for designing DNA based nanostructures and nanomechanical devices due to their enhanced rigidity compared to the normal B-DNA. Although the structural rigidity of the double helix B-DNA has been…

Biological Physics · Physics 2011-10-03 Mogurampelly Santosh , Prabal K Maiti

DNA monolayers with inherent chirality play a pivotal role across various domains, including biosensors, DNA chips, and bioelectronics. Nonetheless, conventional DNA chiral monolayers, typically constructed from single-stranded DNA (ssDNA)…

Charge transfer in a DNA duplex chain is studied by constructing a system with virtual electrodes connected at the ends of each DNA strand. The systeym is described by the tight-binding model and its transport is analyzed by the transfer…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 X. F. Wang , Tapash Chakraborty

Within biology, it is of interest to construct DNA complexes of a certain shape. These complexes can be represented through graph theory, using edges to model strands of DNA joined at junctions, represented by vertices. Because guided…

The use of lower precision has emerged as a popular technique to optimize the compute and storage requirements of complex Deep Neural Networks (DNNs). In the quest for lower precision, recent studies have shown that ternary DNNs (which…

Machine Learning · Computer Science 2020-05-06 Shubham Jain , Sumeet Kumar Gupta , Anand Raghunathan

With the progressive scale-down of semiconductor's feature size, people are looking forward to More Moore and More than Moore. In order to offer a possible alternative implementation process, people are trying to figure out a feasible…

Emerging Technologies · Computer Science 2018-07-06 Chuan Zhang , Lulu Ge , Yuchen Zhuang , Ziyuan Shen , Zhiwei Zhong , Zaichen Zhang , Xiaohu You

A quaternionic representation of the genetic code, previously reported by the authors, is updated in order to incorporate chirality of nucleotide bases and amino acids. The original representation assigns to each nucleotide base a prime…

Other Quantitative Biology · Quantitative Biology 2016-02-19 C. Manuel Carlevaro , Ramiro M. Irastorza , Fernando Vericat

We propose a mathematical model of DNA self-assembly using 2D tiles to form 3D nanostructures. This is the first work to combine studies in self-assembly and nanotechnology in 3D, just as Rothemund and Winfree did in the 2D case. Our model…

Computational Complexity · Computer Science 2007-05-23 Ming-Yang Kao , Vijay Ramachandran

While binary nearest-neighbour cellar automata (CA) have been studied in detail and from many different angles, the same cannot be said about ternary (three-state) CA rules. We present some results of our explorations of a small subset of…

Cellular Automata and Lattice Gases · Physics 2023-12-18 H. Fukś , R. Procyk

The chiral nature of DNA plays a crucial role in cellular processes. Here we use magnetic tweezers to explore one of the signatures of this chirality, the coupling between stretch and twist deformations. We show that the extension of a…

Biomolecules · Quantitative Biology 2009-09-29 Timothee Lionnet , Sylvain Joubaud , Richard Lavery , David Bensimon , Vincent Croquette

Using state-of-the-art techniques combining imaging methods and high-throughput genomic mapping tools leaded to the significant progress in detailing chromosome architecture of various organisms. However, a gap still remains between the…

Quantitative Methods · Quantitative Biology 2018-03-28 V. R. Chechetkin , V. V. Lobzin