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Due to the hierarchical organization of RNA structures and their pivotal roles in fulfilling RNA functions, the formation of RNA secondary structure critically influences many biological processes and has thus been a crucial research topic.…

Nucleic acid sequence design via codon optimization is a fundamental task with applications across synthetic biology, mRNA therapeutics, and vaccine design. Given a target protein, it is a major open challenge to navigate the…

Quantitative Methods · Quantitative Biology 2026-04-22 Mark Fornace , Christina Wuyan Wang , Michael Lindsey

Potential functions are critical for computational studies of protein structure prediction, folding, and sequence design. A class of widely used potentials for coarse grained models of proteins are contact potentials in the form of weighted…

Soft Condensed Matter · Physics 2007-05-23 Changyu Hu , Xiang Li , Jie Liang

Inverse design of morphing slender structures with programmable curvature has significant applications in various engineering fields. Most existing studies formulate it as an optimization problem, which requires repeatedly solving the…

Soft Condensed Matter · Physics 2025-08-28 JiaHao Li , Weicheng Huang , YinBo Zhu , Luxia Yu , Xiaohao Sun , Mingchao Liu , HengAn Wu

The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I…

Statistical Mechanics · Physics 2009-10-31 Chao Tang

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

RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

Mechanical metamaterials represent an innovative class of artificial structures, distinguished by their extraordinary mechanical characteristics, which are beyond the scope of traditional natural materials. The use of deep generative models…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Zihan Wang , Anindya Bhaduri , Hongyi Xu , Liping Wang

A single gene can encode for different protein versions through a process called alternative splicing. Since proteins play major roles in cellular functions, aberrant splicing profiles can result in a variety of diseases, including cancers.…

Genomics · Quantitative Biology 2021-03-09 Alvin Chan , Anna Korsakova , Yew-Soon Ong , Fernaldo Richtia Winnerdy , Kah Wai Lim , Anh Tuan Phan

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

The prediction of the three-dimensional structures of the native state of proteins from the sequences of their amino acids is one of the most important challenges in molecular biology. An essential ingredient to solve this problem within…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Flavio Seno , Jayanth Banavar , Amos Maritan

RNA is a fundamental class of biomolecules that mediate a large variety of molecular processes within the cell. Computational algorithms can be of great help in the understanding of RNA structure-function relationship. One of the main…

Biomolecules · Quantitative Biology 2015-02-20 Sandro Bottaro , Francesco Di Palma , Giovanni Bussi

We apply a new approach to the reverse protein folding problem. Our method uses a minimization function in the design process which is different from the energy function used for folding. For a lattice model, we show that this new approach…

Condensed Matter · Physics 2009-10-28 J. M. Deutsch , Tanya Kurosky

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

Soft Condensed Matter · Physics 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

The ability to computationally generate novel yet physically foldable protein structures could lead to new biological discoveries and new treatments targeting yet incurable diseases. Despite recent advances in protein structure prediction,…

Biomolecules · Quantitative Biology 2022-11-28 Kevin E. Wu , Kevin K. Yang , Rianne van den Berg , James Y. Zou , Alex X. Lu , Ava P. Amini

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

RNA plays a pivotal role in diverse biological processes, ranging from gene regulation to catalysis. Recent advances in RNA design, such as RfamGen, Ribodiffusion and RDesign, have demonstrated promising results, with successful designs of…

Biomolecules · Quantitative Biology 2025-03-11 Letian Gao , Zhi John Lu

Inverse protein folding -- the task of predicting a protein sequence from its backbone atom coordinates -- has surfaced as an important problem in the "top down", de novo design of proteins. Contemporary approaches have cast this problem as…

Artificial RNA molecules with novel functionality have many applications in synthetic biology, pharmacy and white biotechnology. The de novo design of such devices using computational methods and prediction tools is a resource-efficient…

Biomolecules · Quantitative Biology 2019-05-13 Stefan Hammer , Christian Günzel , Mario Mörl , Sven Findeiß

The synthesis of complex materials through the self-assembly of particles at the nanoscale provides opportunities for the realization of novel material properties. However, the inverse design process to create experimentally feasible…

Soft Condensed Matter · Physics 2022-03-01 Carl S. Adorf , James Antonaglia , Julia Dshemuchadse , Sharon C. Glotzer