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The presence of slipknots in configurations of proteins and DNA has been shown to affect their functionality, or alter it entirely. Historically, polymers are modeled as polygonal chains in space. As an alternative to space curves, we…

Geometric Topology · Mathematics 2018-03-21 Harrison Chapman

We consider networks with two types of nodes. The v-nodes, called centers, are hyperconnected and interact one to another via many u-nodes, called satellites. This centralized architecture, widespread in gene networks, realize a bow-tie…

Molecular Networks · Quantitative Biology 2012-03-02 Sergei Vakulenko , Ovidiu Radulescu

DNA-coated colloids can crystallize into a multitude of lattices, ranging from face-centered cubic to diamond and thereby contribute to our understanding of crystallization and open avenues to producing structures with useful photonic…

Soft Condensed Matter · Physics 2026-04-17 Pepijn G. Moerman , Huang Fang , Thomas E. Videbæk , W. Benjamin Rogers , Rebecca Schulman

The amount and type of self-entanglement of DNA filaments is significantly affected by spatial confinement, which is ubiquitous in biological systems. Motivated by recent advancements in single DNA molecule experiments based on nanofluidic…

Soft Condensed Matter · Physics 2013-02-18 E. Orlandini , C. Micheletti

Gel electrophoresis allows to separate knotted DNA (nicked circular) of equal length according to the knot type. At low electric fields, complex knots being more compact, drift faster than simpler knots. Recent experiments have shown that…

Biological Physics · Physics 2009-11-11 C. Weber , A. Stasiak , M. Fleurant , P. De Los Rios , G. Dietler

Cellulases hold great promise for the production of biofuels and biochemicals. However, they are modular enzymes acting on a complex heterogeneous substrate. Because of this complexity, the computational prediction of their catalytic…

Biological Physics · Physics 2022-07-25 Kay S. Schaller , Jeppe Kari , Kim Borch , Günther H. J. Peters , Peter Westh

Studies of circular DNA confined to nanofluidic channels are relevant both from a fundamental polymer-physics perspective and due to the importance of circular DNA molecules in vivo. We here observe the unfolding of DNA from the circular to…

Sequencing by synthesis is the underlying technology for many next-generation DNA sequencing platforms. We developed a new model, the fixed flow cycle model, to derive the distributions of sequence length for a given number of flow cycles…

Genomics · Quantitative Biology 2024-05-28 Yong Kong

Modeling biological networks serves as both a major goal and an effective tool of systems biology in studying mechanisms that orchestrate the activities of gene products in cells. Biological networks are context specific and dynamic in…

Molecular Networks · Quantitative Biology 2014-02-20 Ye Tian , Bai Zhang , Eric P. Hoffman , Robert Clarke , Zhen Zhang , Ie-Ming Shih , Jianhua Xuan , David M. Herrington , Yue Wang

DNA looping is important in DNA condensation and regulation. One method for forming a DNA loop, thought to be used by the condensing agent protamine, is bind-and-bend. In bind-and-bend, molecules bind all along the DNA, each creating a bend…

Biological Physics · Physics 2023-11-06 Michael Liaofan Liu , Daniel W. Oo , Ryan B. McMillan , Ashley R. Carter

Circular permutation connects the N and C termini of a protein and concurrently cleaves elsewhere in the chain, providing an important mechanism for generating novel protein fold and functions. However, their in genomes is unknown because…

Biomolecules · Quantitative Biology 2016-11-17 T. Andrew Binkowski , Bhaskar DasGupta , Jie Liang

Stochastic simulations of coarse-grained protein models are used to investigate the propensity to form knots in early stages of protein folding. The study is carried out comparatively for two homologous carbamoyltransferases, a…

Biomolecules · Quantitative Biology 2015-06-04 T. Skrbic , C. Micheletti , P. Faccioli

Polymer composites are ideal candidates for next generation biomimetic soft materials because of their exquisite bottom-up designability. However, the richness of behaviours comes at a price: the need for precise and extensive…

Soft Condensed Matter · Physics 2019-07-30 Davide Michieletto , Robert Fitzpatrick , Rae M Robertson-Anderson

Sequential or chained models are increasingly prevalent in machine learning for scientific applications, due to their flexibility and ease of development. Chained models are particularly useful when a task is separable into distinct steps…

Data Analysis, Statistics and Probability · Physics 2025-02-05 Daniel Douglas , Aashwin Mishra , Daniel Ratner , Felix Petersen , Kazuhiro Terao

This work concerns the construction and characterization of product kernels for multivariate approximation from a finite set of discrete samples. To this end, we consider composing different component kernels, each acting on a…

Numerical Analysis · Mathematics 2024-11-27 Kristof Albrecht , Juliane Entzian , Armin Iske

Long, flexible physical filaments are naturally tangled and knotted, from macroscopic string down to long-chain molecules. The existence of knotting in a filament naturally affects its configuration and properties, and may be very stable or…

Biomolecules · Quantitative Biology 2016-11-21 Keith Alexander , Alexander J Taylor , Mark R Dennis

Locations of DNA replication initiation in prokaryotes, called "origins of replication", are well-characterized. However, a mechanistic understanding of the sequence-dependence of the local unzipping of double-stranded DNA, the first step…

Genomics · Quantitative Biology 2024-07-19 Parthasarathi Sahu , Sashikanta Barik , Koushik Ghosh , Hemachander Subramanian

Natural products, as metabolites from microorganisms, animals, or plants, exhibit diverse biological activities, making them crucial for drug discovery. Nowadays, existing deep learning methods for natural products research primarily rely…

Quantitative Methods · Quantitative Biology 2026-05-11 Yuheng Ding , Bo Qiang , Shaoning Li , Yiran Zhou , Jie Yu , Qi Li , Cheng Shi , Liangren Zhang , Yusong Wang , Nanning Zheng , Zhenming Liu

We investigate knotting probabilities of long double-stranded DNA strands in a coarse-grained Kratky-Porod model for DNA with Monte Carlo simulations. Various ionic conditions are implemented by adjusting the effective diameter of monomers.…

Soft Condensed Matter · Physics 2022-12-26 Sarah Wettermann , Ranajay Datta , Peter Virnau

We study genetic networks that produce many species of non-coding RNA molecules that are present at a moderate density, as typically exists in the cell. The associations of the many species of these RNA are modeled physically, taking into…

Genomics · Quantitative Biology 2014-09-08 J. M. Deutsch