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In derivative-free optimization, the cosine measure is a value that often arises in the convergence analysis of direct search methods. Given the increasing interest in high-dimensional derivative-free optimization problems, it is valuable…

最优化与控制 · 数学 2025-06-25 Warren Hare , Scholar Sun

Different numerical mappings of the DNA sequences have been studied using a new cluster-scaling method and the well known spectral methods. It is shown, in particular, that the nucleotide sequences in DNA molecules have robust…

生物大分子 · 定量生物学 2018-01-31 A. Bershadskii

Sequencing by synthesis is used in many next-generation DNA sequencing technologies. Some of the technologies, especially those exploring the principle of single-molecule sequencing, allow incomplete nucleotide incorporation in each cycle.…

基因组学 · 定量生物学 2024-05-28 Yong Kong

We explore the notion of degree of asymmetry for integer sequences and related combinatorial objects. The degree of asymmetry is a new combinatorial statistic that measures how far an object is from being symmetric. We define this notion…

组合数学 · 数学 2021-07-14 Sergi Elizalde , Emeric Deutsch

We use a coarse-grained model of DNA-functionalized particles to understand the role of DNA chain length on their self-assembly. We find that the increasing chain length for a given particle size decreases the propensity to form ordered…

软凝聚态物质 · 物理学 2020-01-07 Runfang Mao , Jeetain Mittal

Zero mode waveguide technology of next generation sequencing demonstrated sequence-dependence of the enzymatic reaction, incorporating a base into the genomic DNA. We show that these experimental results indicate existence of a previously…

其他定量生物学 · 定量生物学 2012-06-12 Petr Pancoska , Zdenek Moravek , Uday Kiran Para , Jaroslav Nesetril

Native protein folds often have a high degree of symmetry. We study the relationship between the symmetries of native proteins, and their designabilities -- how many different sequences encode a given native structure. Using a…

统计力学 · 物理学 2009-10-31 Tairan Wang , Jonathan Miller , Ned S. Wingreen , Chao Tang , Ken A. Dill

We briefly recall the main physical features of the parton distributions in the quantum statistical picture of the nucleon. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results.

高能物理 - 唯象学 · 物理学 2009-12-03 Jacques Soffer

Cooperativity is a hallmark of proteins, many of which show a modular architecture comprising discrete structural domains. Detecting and describing dynamic couplings between structural regions is difficult in view of the many-body nature of…

生物物理 · 物理学 2015-02-03 Olga Kononova , Lee Jones , Valeri Barsegov

An order parameter with broken polarization symmetry is proposed for the pressure-induced molecular dissociation transitions in nitrogen. The experimental dissociative transition pressure dependence of the calculated order parameter is well…

材料科学 · 物理学 2019-10-31 Meifang Pu , Li Lei

The origin of life is one of the greatest mysteries. The mechanism for the synthesis of DNA is synonymous with the chemical origin of life, and theories have been developed along many lines of reasoning, but resolving all requirements…

其他定量生物学 · 定量生物学 2020-07-07 Charles D. Schaper

The PCP Theorem is one of the most stunning results in computational complexity theory, a culmination of a series of results regarding proof checking it exposes some deep structure of computational problems. As a surprising side-effect, it…

计算复杂性 · 计算机科学 2012-07-30 Luke Mathieson

Motivation: DNA methylation is an intensely studied epigenetic mark, yet its functional role is incompletely understood. Attempts to quantitatively associate average DNA methylation to gene expression yield poor correlations outside of the…

基因组学 · 定量生物学 2016-11-17 Chantriolnt-Andreas Kapourani , Guido Sanguinetti

The observed pattern of fermion masses and mixing is an outstanding puzzle in particle physics, generally known as the flavor problem. Over the years, guided by precision neutrino oscillation data, discrete flavor symmetries have often been…

The evolution in coding DNA sequences brings new flexibility and freedom to the codon words, even as the underlying nucleotides get significantly ordered. These curious contra-rules of gene organisation are observed from the distribution of…

生物物理 · 物理学 2007-05-23 Sujay Chattopadhyay , William A. Kanner , Jayprokas Chakrabarti

Proteins have regular tertiary structures but irregular amino acid sequences. This made it very difficult to decode the structural information in the protein sequences. Here we demonstrate that many small alpha protein domains have hidden…

生物大分子 · 定量生物学 2007-05-23 Ruizhen Xu , Yanzhao Huang , Mingfen Li , Hanlin Chen , Yi Xiao

Several processes in the cell, such as gene regulation, start when key proteins recognise and bind to short DNA sequences. However, as these sequences can be hundreds of million times shorter than the genome, they are hard to find by simple…

亚细胞过程 · 定量生物学 2021-01-27 Markus Nyberg , Tobias Ambjörnsson , Per Stenberg , and Ludvig Lizana

The influence of decoherence and bonding on the linear conductance of single double-stranded DNA molecules is examined by fitting a phenomenological statistical model developed recently (EPJB {\bf 68}, 237 (2009)) to experimental results.…

软凝聚态物质 · 物理学 2010-09-30 M. Zilly , O. Ujsaghy , D. E. Wolf

We discuss the statistical properties of parton distributions within the framework of the NNPDF methodology. We present various tests of statistical consistency, in particular that the distribution of results does not depend on the…

We investigate general properties of non-deterministic self-assembly with asymmetric interactions, using a computational model and DNA tile assembly experiments. By contrasting symmetric and asymmetric interactions we show that the latter…

软凝聚态物质 · 物理学 2016-08-24 S. Tesoro , K. Göpfrich , T. Kartanas , U. F. Keyser , S. E. Ahnert