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Molecular dynamics (MD) simulation has been employed to study the nonequilibrium structure formation of two types of particles in a colloidal suspension, driven by type-dependent forces. We examined the time evolution of structure formation…

Soft Condensed Matter · Physics 2007-05-23 Andrew C. T. Wong , K. W. Yu

The Laessig-Wiese (LW) field theory for the freezing transition of random RNA secondary structures is generalized to the situation of an external force. We find a second-order phase transition at a critical applied force f = f_c. For f <…

Biomolecules · Quantitative Biology 2007-06-13 Francois David , Christian Hagendorf , Kay Joerg Wiese

A suspension of nanoparticles with very low volume fraction is found to assemble into a macroscopic cellular phase under the collective influence of AC and DC voltages. Systematic study of this phase transition shows that it was the result…

Translocation through a nanopore is a new experimental technique to probe physical properties of biomolecules. A bulk of theoretical and computational work exists on the dependence of the time to translocate a single unstructured molecule…

Biomolecules · Quantitative Biology 2009-05-04 Malcolm McCauley , Robert Forties , Ulrich Gerland , Ralf Bundschuh

Existing state-of-the-art methods that take a single RNA sequence and predict the corresponding RNA secondary-structure are thermodynamic methods. These predict the most stable RNA structure, but do not consider the process of structure…

Biomolecules · Quantitative Biology 2012-07-26 Jeff R. Proctor , Irmtraud M. Meyer

We propose a scenario for the prebiotic co-evolution of RNA and of fast folding proteins with large entropy gaps as observed today. We show from very general principles that the folding and unfolding of the proteins synthesized by RNA can…

Soft Condensed Matter · Physics 2007-05-23 Ayse Erzan , Erkan Tuzel

We propose a new approach for modelling the process of RNA folding as a graph transformation guided by the global value of free energy. Since the folding process evolves towards a configuration in which the free energy is minimal, the…

Formal Languages and Automata Theory · Computer Science 2016-12-07 Adane Letta Mamuye , Emanuela Merelli , Luca Tesei

Ab initio RNA secondary structure predictions have long dismissed helices interior to loops, so-called pseudoknots, despite their structural importance. Here, we report that many pseudoknots can be predicted through long time scales RNA…

Biological Physics · Physics 2009-11-10 A. Xayaphoummine , T. Bucher , F. Thalmann , H. Isambert

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

Micro-organisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves. We have numerically studied a model consisting of elements with intracellular dynamics, random walks with a state-dependent…

Statistical Mechanics · Physics 2007-10-31 Masayo Inoue , Kunihiko Kaneko

We demonstrate how concepts of statistical mechanics of interacting particles can have important implications in the choice of interaction potentials to model qualitative properties of cell aggregates in theoretical biology. We illustrate…

Cell Behavior · Quantitative Biology 2017-06-29 J. A. Carrillo , A. Colombi , M. Scianna

In this paper we study the effect of energy parameters on minimum free energy (mfe) RNA secondary structures. Employing a simplified combinatorial energy model, that is only dependent on the diagram representation and that is not sequence…

Combinatorics · Mathematics 2012-05-17 Hillary S. W. Han , Christian M. Reidys

The computer-aided folding of biomolecules, particularly RNAs, is one of the most difficult challenges in computational structural biology. RNA tetraloops are fundamental RNA motifs playing key roles in RNA folding and RNA-RNA and…

Biomolecules · Quantitative Biology 2016-09-28 Petra Kührová , Robert B. Best , Sandro Bottaro , Giovanni Bussi , Jiří Šponer , Michal Otyepka , Pavel Banáš

We investigate a set of design principles that link specific features of interparticle interactions to predictable structural and dynamic outcomes in two-dimensional self-assembly, a framework relevant to soft matter and biological…

Soft Condensed Matter · Physics 2026-01-06 Cecilia Bores , Antonio Diaz-Pozuelo , Enrique Lomba

The RNA inverse folding problem, a key challenge in RNA design, involves identifying nucleotide sequences that can fold into desired secondary structures, which are critical for ensuring molecular stability and function. The inherent…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Guang Yang , Lei Fan

The statistics of randomly branching double-folded ring polymers are relevant to the secondary structure of RNA, the large-scale branching of plectonemic DNA (and thus bacterial chromosomes), the conformations of single-ring polymers…

Soft Condensed Matter · Physics 2025-10-03 Elham Ghobadpour , Max Kolb , Ivan Junier , Ralf Everaers

Fractionation is necessary for self-assembly in multicomponent mixtures. Here, reversible fractionation and crystallization are realized and studied in a two-dimensional binary colloids which is supersaturated by enhancing the attraction…

Soft Condensed Matter · Physics 2020-08-20 Lian Dan Yao , Hong Yu Chen , Yan Shi , Ying Liang , Tian Hui Zhang

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

Determination of sizes and flexibilities of RNA molecules is important in understanding the nature of packing in folded structures and in elucidating interactions between RNA and DNA or proteins. Using the coordinates of the structures of…

Biomolecules · Quantitative Biology 2009-11-13 Changbong Hyeon , Ruxandra I. Dima , D. Thirumalai

We study theoretically the denaturation of single RNA molecules by mechanical stretching, focusing on signatures of the (un)folding pathway in molecular fluctuations. Our model describes the interactions between nucleotides by incorporating…

Soft Condensed Matter · Physics 2009-11-07 Ulrich Gerland , Ralf Bundschuh , Terence Hwa
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