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Motivation: RNA design aims to find RNA sequences that fold into a given target secondary structure, a problem also known as RNA inverse folding. However, not all target structures are designable. Recent advances in RNA designability have…

Data Structures and Algorithms · Computer Science 2026-04-28 Tianshuo Zhou , David H. Mathews , Liang Huang

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen

Protein sequences are believed to have been selected to provide the stability of, and reliable renaturation to, an encoded unique spatial fold. In recently proposed theoretical schemes, this selection is modeled as ``minimal frustration,''…

Condensed Matter · Physics 2009-10-28 Vijay S. Pande , Alexander Yu. Grosberg , Toyoichi Tanaka

We propose a new and effective means for designing stable and fast-folding polypeptide sequences using a cumulant expansion of the molecular partition function. This method is unique in that $T_{Z}$, the ``cumulant design temperature''…

Condensed Matter · Physics 2007-05-23 Michael P. Morrissey , Eugene I. Shakhnovich

In a similar way in which the folding of single--domain proteins provide an important test in the study of self--organization, the folding of homodimers constitute a basic challenge in the quest for the mechanisms which are at the basis of…

Soft Condensed Matter · Physics 2007-05-23 G. Tiana , R. A. Broglia

We study the medium effects on the selection of sequences in protein folding by taking account of the surface potential in HP-model. Our analysis on the proportion of H and P monomers in the sequences gives a direct interpretation that the…

Biomolecules · Quantitative Biology 2009-11-10 You-Quan Li , Yong-Yun Ji , Jun-Wen Mao , Xiao-Wei Tang

Computational protein design has a wide variety of applications. Despite its remarkable success, designing a protein for a given structure and function is still a challenging task. On the other hand, the number of solved protein structures…

Quantitative Methods · Quantitative Biology 2018-04-26 Jingxue Wang , Huali Cao , John Z. H. Zhang , Yifei Qi

Unfolded proteins may contain native or non-native residual structure, which has important implications for the thermodynamics and kinetics of folding as well as for misfolding and aggregation diseases. However, it has been universally…

Biomolecules · Quantitative Biology 2008-09-12 Aitziber L. Cortajarena , Gregg Lois , Eilon Sherman , Corey S. O'Hern , Lynne Regan , Gilad Haran

The thermodynamic behavior and structural properties of hydrophobic-polar (HP) lattice proteins interacting with attractive surfaces are studied by means of Wang-Landau sampling. Three benchmark HP sequences (48mer, 67mer, and 103mer) are…

Soft Condensed Matter · Physics 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

In structure-based models of proteins, one often assumes that folding is accomplished when all contacts are established. This assumption may frequently lead to a conceptual problem that folding takes place in a temperature region of very…

Biomolecules · Quantitative Biology 2016-05-23 Karol Wołek , Marek Cieplak

The protein design problem involves finding polypeptide sequences folding into a given threedimensional structure. Its rigorous algorithmic solution is computationally demanding, involving a nested search in sequence and structure spaces.…

Quantum Physics · Physics 2024-07-11 Veronica Panizza , Philipp Hauke , Cristian Micheletti , Pietro Faccioli

Instead of conformation states of single residues, refined conformation states of quintuplets are proposed to reflect conformation correlation. Simple hidden Markov models combining with sliding window scores are used for predicting…

Biomolecules · Quantitative Biology 2007-05-23 Wei-Mou Zheng

At the cutting edge of materials science, matter is designed to self-organize into structures that perform a wide range of functions. The past two decades have witnessed major innovations in the versatility of building blocks, ranging from…

Soft Condensed Matter · Physics 2022-09-26 Angus McMullen , Maitane Muñoz Basagoiti , Zorana Zeravcic , Jasna Brujic

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

We present the results of a self-consistent, unified molecular dynamics study of simple model heteropolymers in the continuum with emphasis on folding, sequence design and the determination of the interaction parameters of the effective…

Statistical Mechanics · Physics 2009-10-31 Cecilia Clementi , Amos Maritan , Jayanth R. Banavar

We study the geometric properties of the energy landscape of coarse-grained, off-lattice models of polymers by endowing the configuration space with a suitable metric, depending on the potential energy function, such that the dynamical…

Statistical Mechanics · Physics 2007-05-23 Lorenzo N. Mazzoni , Lapo Casetti

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

The biological activity and functional specificity of proteins depend on their native three-dimensional structures determined by inter- and intra-molecular interactions. In this paper, we investigate the geometrical factor of protein…

Biological Physics · Physics 2012-03-02 Ming-Chya Wu , Mai Suan Li , Wen-Jong Ma , Maksim Kouza , Chin-Kun Hu

Folding properties of a two-dimensional toy protein model containing only two amino-acid types, hydrophobic and hydrophilic, respectively, are analyzed. An efficient Monte Carlo procedure is employed to ensure that the ground states are…

chem-ph · Physics 2016-08-31 Anders Irbäck , Carsten Peterson , Frank Potthast

The proposal of this paper is to provide a simple angular random walk model to build up polypeptide structures, which encompass properties of dihedral angles of folded proteins. From this model, structures will be built with lengths ranging…

Biological Physics · Physics 2009-11-13 P. H. Figueiredo , M. A. Moret , E. Nogueira , S. Coutinho