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The energy landscapes of proteins have evolved to be different from most random heteropolymers. Many studies have concluded that evolutionary selection for rapid and reliable folding to a given structure that is stable at biological…

Disordered Systems and Neural Networks · Physics 2009-11-10 Steven S. Plotkin , Peter G. Wolynes

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

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

Computational prediction of RNA structures is an important problem in computational structural biology. Studies of RNA structure formation often assume that the process starts from a fully synthesized sequence. Experimental evidence,…

Biomolecules · Quantitative Biology 2021-04-28 Vo Hong Thanh , Dani Korpela , Pekka Orponen

RNA co-transcriptional folding has long been suspected to play an active role in helping proper native folding of ribozymes and structured regulatory motifs in mRNA untranslated regions. Yet, the underlying mechanisms and coding…

Biomolecules · Quantitative Biology 2007-05-23 A. Xayaphoummine , V. Viasnoff , S. Harlepp , H. Isambert

mRNA technology has revolutionized vaccine development, protein replacement therapies, and cancer immunotherapies, offering rapid production and precise control over sequence and efficacy. However, the inherent instability of mRNA poses…

Biomolecules · Quantitative Biology 2025-03-26 Max Ward , Mary Richardson , Mihir Metkar

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

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

The growing significance of RNA engineering in diverse biological applications has spurred interest in developing AI methods for structure-based RNA design. While diffusion models have excelled in protein design, adapting them for RNA…

Biomolecules · Quantitative Biology 2024-06-11 Divya Nori , Wengong Jin

A theoretical framework is developed to study the dynamics of protein folding. The key insight is that the search for the native protein conformation is influenced by the rate r at which external parameters, such as temperature, chemical…

Biomolecules · Quantitative Biology 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

It is the first step for understanding how RNA structure folds from base sequences that to know how its secondary structure is formed. Traditional energy-based algorithms are short of precision, particularly for non-nested sequences, while…

Quantum Physics · Physics 2023-05-18 Ji Jiang , Qipeng Yan , Ye Li , Min Lu , Ziwei Cui , Menghan Dou , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

We introduce a powerful iterative algorithm to compute protein folding pathways, with realistic all-atom force fields. Using the path integral formalism, we explicitly derive a modified Langevin equation which samples directly the ensemble…

Biological Physics · Physics 2017-05-08 S. Orioli , S. A Beccara , P. Faccioli

Significant progress in computer hardware and software have enabled molecular dynamics (MD) simulations to model complex biological phenomena such as protein folding. However, enabling MD simulations to access biologically relevant…

Biomolecules · Quantitative Biology 2019-08-02 Heng Ma , Debsindhu Bhowmik , Hyungro Lee , Matteo Turilli , Michael T. Young , Shantenu Jha , Arvind Ramanathan

RNAs self-interact through hydrogen-bond base-pairing between nucleotides and fold into specific, stable structures that substantially govern their biochemical behaviour. Experimental characterization of these structures remains difficult,…

Quantum Physics · Physics 2023-05-02 Tristan Zaborniak , Juan Giraldo , Hausi Müller , Hosna Jabbari , Ulrike Stege

The understanding, and even the description of protein folding is impeded by the complexity of the process. Much of this complexity can be described and understood by taking a statistical approach to the energetics of protein conformation,…

chem-ph · Physics 2008-02-03 J. D. Bryngelson , J. N. Onuchic , N. D. Socci , P. G. Wolynes

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

Simulations of biological macromolecules play an important role in understanding the physical basis of a number of complex processes such as protein folding. Even with increasing computational power and evolution of specialized…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-18 Hyungro Lee , Heng Ma , Matteo Turilli , Debsindhu Bhowmik , Shantenu Jha , Arvind Ramanathan

The branching of an RNA molecule is an important structural characteristic yet difficult to predict correctly, especially for longer sequences. Using plane trees as a combinatorial model for RNA folding, we consider the thermodynamic cost,…

Biomolecules · Quantitative Biology 2023-03-23 Christine Heitsch , Chi N. Y. Huynh , Greg Johnston

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