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RNA secondary structures of increasing complexity are probed combining single molecule stretching experiments and stochastic unfolding/refolding simulations. We find that force-induced unfolding pathways cannot usually be interpretated by…

Biological Physics · Physics 2015-06-26 S. Harlepp , T. Marchal , J. Robert , J-F. Leger , A. Xayaphoummine , H. Isambert , D. Chatenay

The interplay between bending of the molecule axis and appearance of disruptions in circular DNA molecules, with $\sim 100$ base pairs, is addressed. Three minicircles with different radii and almost equal content of AT and GC pairs are…

Soft Condensed Matter · Physics 2014-06-03 Marco Zoli

Quite generally, constraint-based metabolic flux analysis describes the space of viable flux configurations for a metabolic network as a high-dimensional polytope defined by the linear constraints that enforce the balancing of production…

Molecular Networks · Quantitative Biology 2013-09-24 Francesco Alessandro Massucci , Francesc Font-Clos , Andrea De Martino , Isaac Pérez Castillo

We investigate theoretically the translocation of structured RNA/DNA molecules through narrow pores which allow single but not double strands to pass. The unzipping of basepaired regions within the molecules presents significant kinetic…

Soft Condensed Matter · Physics 2009-11-10 Ulrich Gerland , Ralf Bundschuh , Terence Hwa

Researchers have repeatedly found that the ends of an RNA sequence are significantly closer than expected for a random linear chain. However, we prove that the ends of a branched structure are almost certainly close. Our results are…

Combinatorics · Mathematics 2026-04-20 Torin Greenwood , Christine Heitsch

Large RNA molecules often carry multiple functional domains whose spatial arrangement is an important determinant of their function. Pre-mRNA splicing, furthermore, relies on the spatial proximity of the splice junctions that can be…

Quantitative Methods · Quantitative Biology 2013-07-31 Rolf Backofen , Markus Fricke , Manja Marz , Jing Qin , Peter F. Stadler

RNA molecules exhibit various biological functions intrinsically dependent on their diverse ecosystem of highly flexible structures. This flexibility arises from complex hydrogen-bonding networks defined by canonical and non-canonical base…

Biomolecules · Quantitative Biology 2024-11-08 Tomas F. D. Silva , Giovanni Bussi

Conformational transitions are ubiquitous in biomolecular systems, have significant functional roles and are subject to evolutionary pressures. Here we provide a first theoretical framework for topological transition, i.e. conformational…

Disordered Systems and Neural Networks · Physics 2015-09-02 Alireza Mashaghi , Abolfazl Ramezanpour

Understanding the merging behavior patterns at freeway on-ramps is important for assistanting the decisions of autonomous driving. This study develops a primitive-based framework to identify the driving patterns during merging processes and…

Signal Processing · Electrical Eng. & Systems 2021-08-03 Yue Zhang , Yajie Zou , Lingtao Wuand Wanbing Han

This paper studies how to find compact state embeddings from high-dimensional Markov state trajectories, where the transition kernel has a small intrinsic rank. In the spirit of diffusion map, we propose an efficient method for learning a…

Machine Learning · Computer Science 2019-10-29 Yifan Sun , Yaqi Duan , Hao Gong , Mengdi Wang

Markov chain Monte Carlo methods are a powerful tool for sampling equilibrium configurations in complex systems. One problem these methods often face is slow convergence over large energy barriers. In this work, we propose a novel method…

Computational Physics · Physics 2024-05-29 Luigi Sbailò , Manuel Dibak , Frank Noé

We propose a new geometric approach to describe the qualitative dynamics of chemical reactions networks. By this method we identify metastable regimes, defined as low dimensional regions of the phase space close to which the dynamics is…

Molecular Networks · Quantitative Biology 2015-11-19 Satya Swarup Samal , Aurélien Naldi , Dima Grigoriev , Andreas Weber , Nathalie Théret , Ovidiu Radulescu

The ribosome flow model (RFM) is a phenomenological model for the unidirectional flow of particles along a 1D chain of $n$ sites. The RFM has been extensively used to study the dynamics of ribosome flow along a single mRNA molecule during…

Molecular Networks · Quantitative Biology 2026-01-09 Aliza Ehrman , Thomas Kriecherbauer , Lars Gruene , Michael Margaliot

The enterobacteria lambda phage is a paradigm temperate bacteriophage. Its lysogenic and lytic life cycles echo competition between the DNA binding $\lambda$-repressor (CI) and CRO proteins. Here we scrutinize the structure, stability and…

Biological Physics · Physics 2015-06-11 Andrey Krokhotin , Martin Lundgren , Antti J. Niemi

This contribution focuses on the fascinating RNA molecule, its sequence-dependent folding driven by base-pairing interactions, the interplay between these interactions and natural evolution, and its multiple regulatory roles. The four of us…

Statistical Mechanics · Physics 2022-07-28 Simona Cocco , Andrea De Martino , Andrea Pagnani , Martin Weigt

In this study, we present a graph neural network-based learning approach using an autoencoder setup to derive low-dimensional variables from features observed in experimental crystal structures. These variables are then biased in enhanced…

Statistical Mechanics · Physics 2023-10-13 Ziyue Zou , Pratyush Tiwary

In recent years, the integration of prediction and planning through neural networks has received substantial attention. Despite extensive studies on it, there is a noticeable gap in understanding the operation of such models within a…

Robotics · Computer Science 2024-07-09 Jiayu Guo , Mingyue Feng , Pengfei Zhu , Chengjun Li , Jian Pu

Understanding the principles of protein folding is a cornerstone of computational biology, with implications for drug design, bioengineering, and the understanding of fundamental biological processes. Lattice protein folding models offer a…

Disordered Systems and Neural Networks · Physics 2025-08-08 Shoummo Ahsan Khandoker , Estelle M. Inack , Mohamed Hibat-Allah

A generalized computational method for folding proteins with a fully transferable potential and geometrically realistic all-atom model is presented and tested on seven different helix bundle proteins. The protocol, which includes…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eric J. Deeds , Eugene I. Shakhnovich

Tethered particle experiments use light microscopy to measure the position of a micrometer-sized bead tethered to a microscope slide via a ~micrometer length polymer, in order to infer the behavior of the invisible polymer. Currently, this…

Biological Physics · Physics 2009-11-13 John F. Beausang , Chiara Zurla , Carlo Manzo , David Dunlap , Laura Finzi , Philip C. Nelson