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Non-coding RNA sequences play a great role in controlling a number of cellular functions, thus raising the need to understand their complex conformational dynamics in quantitative detail. In this perspective, we first show that single…

Biomolecules · Quantitative Biology 2012-11-29 Jong-Chin Lin , Changbong Hyeon , D. Thirumalai

The increasing importance of RNA as a prime player in biology can hardly be overstated. Problems in RNA, such as folding and RNA-RNA interactions that drive phase separation, require cations. Because experiments alone cannot reveal the…

Biomolecules · Quantitative Biology 2025-06-10 D. Thirumalai , Naoto Hori , Hung T. Nguyen

We analyze the thermodynamic properties of a simplified model for folded RNA molecules recently studied by G. Vernizzi, H. Orland, A. Zee (in {\it Phys. Rev. Lett.} {\bf 94} (2005) 168103). The model consists of a chain of one-flavor base…

Biomolecules · Quantitative Biology 2009-11-13 Matias dell'Erba , Guillermo R. Zemba

Despite great interest in solving RNA secondary structures due to their impact on function, it remains an open problem to determine structure from sequence. Among experimental approaches, a promising candidate is the "chemical modification…

Quantitative Methods · Quantitative Biology 2011-06-30 Sharon Aviran , Julius B. Lucks , Lior Pachter

In this paper we consider the problem of RNA folding with pseudoknots. We use a graphical representation in which the secondary structures are described by planar diagrams. Pseudoknots are identified as non-planar diagrams. We analyze the…

Biomolecules · Quantitative Biology 2007-05-23 G. Vernizzi , H. Orland , A. Zee

We modify and extend the recently developed statistical mechanical model for predicting the thermodynamic properties of chain molecules having noncovalent double-stranded conformations, as in RNA or ssDNA, and $\beta-$sheets in protein, by…

Soft Condensed Matter · Physics 2009-11-07 Fei Liu , Luru Dai , Zhong-can Ou-Yang

Predicting three dimensional residue-residue contacts from evolutionary information in protein sequences was attempted already in the early 1990s. However, contact prediction accuracies of methods evaluated in CASP experiments before CASP11…

Biomolecules · Quantitative Biology 2018-10-16 Sanzo Miyazawa

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learned how to extract this information to predict the three--dimensional, biologically active, native conformation of…

Biomolecules · Quantitative Biology 2009-11-10 R. A. Broglia , G. Tiana

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…

Subcellular Processes · Quantitative Biology 2021-01-27 Markus Nyberg , Tobias Ambjörnsson , Per Stenberg , and Ludvig Lizana

Phase-separated biomolecular condensates containing proteins and RNAs can assemble into higher-order structures by forming thermodynamically stable interfaces between immiscible phases. Using a minimal model of a protein/RNA interaction…

Soft Condensed Matter · Physics 2024-07-31 Tianhao Li , William M. Jacobs

The field of RNA secondary structure prediction has made significant progress with the adoption of deep learning techniques. In this work, we present the RNAformer, a lean deep learning model using axial attention and recycling in the…

Machine Learning · Computer Science 2023-07-20 Jörg K. H. Franke , Frederic Runge , Frank Hutter

DNA-coated particles are promising as building blocks for functional and finite-sized assemblies because they can be programmed with orthogonal interactions owing to the sequence-specific hybridization of DNA strands. To fully exploit this…

Soft Condensed Matter · Physics 2026-04-17 T. C. M. Stevens , A. van der Sluis , I. K. Voets , P. G. Moerman

RNA structure prediction is a challenging problem, especially with pseudoknots. Recently, there has been a shift from the classical minimum free energy-based methods (MFE) to partition function-based ones that assemble structures using…

Biomolecules · Quantitative Biology 2020-01-10 Liang Zhang , He Zhang , David H. Mathews , Liang Huang

As a consequence of the rugged landscape of RNA molecules their folding is described by the kinetic partitioning mechanism according to which only a small fraction ($\phi_F$) reaches the folded state while the remaining fraction of…

Biomolecules · Quantitative Biology 2017-01-24 Changbong Hyeon , D. Thirumalai

Kernel-based methods such as Rocket are among the most effective default approaches for univariate time series classification (TSC), yet they do not perform equally well across all datasets. We revisit the long-standing intuition that…

Machine Learning · Computer Science 2026-01-13 Honey Singh Chauhan , Zahraa S. Abdallah

In this paper, we use the biological domain knowledge incorporated into stochastic models for ab initio RNA secondary-structure prediction to improve the state of the art in joint compression of RNA sequence and structure data (Liu et al.,…

Biomolecules · Quantitative Biology 2023-02-24 Evarista Onokpasa , Sebastian Wild , Prudence W. H. Wong

Contact-assisted protein folding has made very good progress, but two challenges remain. One is accurate contact prediction for proteins lack of many sequence homologs and the other is that time-consuming folding simulation is often needed…

Biomolecules · Quantitative Biology 2022-10-12 Jinbo Xu

Deep neural networks such as AlphaFold and RoseTTAFold predict remarkably accurate structures of proteins compared to other algorithmic approaches. It is known that biologically small perturbations in the protein sequence do not lead to…

Biomolecules · Quantitative Biology 2021-09-21 Sumit Kumar Jha , Arvind Ramanathan , Rickard Ewetz , Alvaro Velasquez , Susmit Jha

Morphogenesis is central to biology but remains largely unexplored in chemistry. Reaction-diffusion (RD) mechanisms are, however, essential to understand how shape emerges in the living world. While numerical methods confirm the incredible…

Pattern Formation and Solitons · Physics 2014-07-17 Anton S. Zadorin , Yannick Rondelez , Jean-Christophe Galas , André Estevez-Torres

The ability to significantly enhance energy transfer processes at the nanoscale requires the simultaneous optimization of molecular-scale orientation and macroscopic photonic enhancement between multiple quantum emitters. However, achieving…