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The dose delivered to the planning target volume by proton beams is highly conformal, sparing organs at risk and normal tissues. New treatment planning systems adapted to spot scanning techniques have been recently proposed to…

Medical Physics · Physics 2022-05-18 François Smekens , Nicolas Freud , Bruno Sixou , Guillaume Beslon , Jean M Létang

The Nearest Neighbor model is the $\textit{de facto}$ thermodynamic model of RNA secondary structure formation and is a cornerstone of RNA structure prediction and sequence design. The current functional form (Turner 2004) contains…

Biomolecules · Quantitative Biology 2025-05-13 Ryan K. Krueger , Sharon Aviran , David H. Mathews , Jeffrey Zuber , Max Ward

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

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

Machine Learning · Computer Science 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

An RNA molecule is structured on several layers. The primary and most obvious structure is its sequence of bases, i.e. a word over the alphabet {A,C,G,U}. The higher structure is a set of one-to-one base-pairings resulting in a…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael Brinkmeier

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

Structured RNA plays many functionally relevant roles in molecular life. Structural information, while required to understand the functional cycles in detail, is challenging to gather. Computational methods promise to complement…

Molecular Networks · Quantitative Biology 2019-04-16 Fabrizio Pucci , Alexander Schug

A self-organizing approach is proposed for gene finding based on the model of codon usage for coding regions and positional preference for noncoding regions. The symmetry between the direct and reverse coding regions is adopted for reducing…

Biological Physics · Physics 2007-05-23 Fang Wu , Wei-Mou Zheng

Robust PCA has drawn significant attention in the last decade due to its success in numerous application domains, ranging from bio-informatics, statistics, and machine learning to image and video processing in computer vision. Robust PCA…

Optimization and Control · Mathematics 2018-06-12 Shiqian Ma , Necdet Serhat Aybat

A genetic algorithm is suitable for exploring large search spaces as it finds an approximate solution. Because of this advantage, genetic algorithm is effective in exploring vast and unknown space such as molecular search space. Though the…

Neural and Evolutionary Computing · Computer Science 2021-12-24 Yurim Lee , Gydam Choi , Minsung Yoon , Cheongwon Kim

Predicting the three-dimensional (3D) structure of a protein from its primary sequence of amino acids is known as the protein folding (PF) problem. Due to the central role of proteins' 3D structures in chemistry, biology and medicine…

Quantum Physics · Physics 2021-03-18 Anton Robert , Panagiotis Kl. Barkoutsos , Stefan Woerner , Ivano Tavernelli

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

Motivation: Predicting the secondary structure of an RNA sequence is useful in many applications. Existing algorithms (based on dynamic programming) suffer from a major limitation: their runtimes scale cubically with the RNA length, and…

Biomolecules · Quantitative Biology 2020-01-14 Liang Huang , He Zhang , Dezhong Deng , Kai Zhao , Kaibo Liu , David A. Hendrix , David H. Mathews

The origin and organizing principles of the genetic code remain fundamental puzzles in life science. The vanishingly low probability of the natural codon-to-amino acid mapping arising by chance has spurred the hypothesis that its structure…

Other Quantitative Biology · Quantitative Biology 2025-10-14 Yudam Seo , Tsvi Tlusty , Junghyo Jo

This paper presents a novel Differential Evolution algorithm for protein folding optimization that is applied to a three-dimensional AB off-lattice model. The proposed algorithm includes two new mechanisms. A local search is used to improve…

Artificial Intelligence · Computer Science 2018-05-08 Borko Bošković , Janez Brest

Natural protein sequences somehow encode the structural forms that these molecules adopt. Recent developments in structure-prediction are agnostic to the mechanisms by which proteins fold and represent them as static objects. However, the…

Biomolecules · Quantitative Biology 2025-05-26 Ezequiel A. Galpern , Federico Caamaño , Diego U. Ferreiro

The prediction of the three-dimensional native structure of proteins from the knowledge of their amino acid sequence, known as the protein folding problem, is one of the most important yet unsolved issues of modern science. Since the…

Biological Physics · Physics 2008-11-24 Pablo Echenique

RNA secondary structure prediction is widely used to understand RNA function. Recently, there has been a shift away from the classical minimum free energy (MFE) methods to partition function-based methods that account for folding ensembles…

Biomolecules · Quantitative Biology 2024-02-08 He Zhang , Liang Zhang , David H. Mathews , Liang Huang

Evolutionary algorithms have long been used for optimization problems where the appropriate size of solutions is unclear a priori. The applicability of this methodology is here investigated on the problem of designing a nano-particle (NP)…

Neural and Evolutionary Computing · Computer Science 2020-11-11 Michail-Antisthenis Tsompanas , Larry Bull , Andrew Adamatzky , Igor Balaz

Recently several minimum free energy (MFE) folding algorithms for predicting the joint structure of two interacting RNA molecules have been proposed. Their folding targets are interaction structures, that can be represented as diagrams with…

Combinatorics · Mathematics 2010-06-22 Thomas J. X. Li , Christian M. Reidys