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Protein structure prediction is a critical problem linked to drug design, mutation detection, and protein synthesis, among other applications. To this end, evolutionary data has been used to build contact maps which are traditionally…

Biomolecules · Quantitative Biology 2022-11-08 Lakshmi A. Ghantasala , Risi Jaiswal , Supriyo Datta

A simple approach is proposed to investigate the protein structure. Using a low complexity model, a simple pairwise interaction and the concept of global optimization, we are able to calculate ground states of proteins, which are in…

Biomolecules · Quantitative Biology 2015-06-26 F. Dressel , S. Kobe

Questions in computational molecular biology generate various discrete optimization problems, such as DNA sequence alignment and RNA secondary structure prediction. However, the optimal solutions are fundamentally dependent on the…

We formulate the Alternating Current Optimal Power Flow Problem (ACOPF) as a Linear Constrained Quadratic Program (LCQP) with many negative eigenvalues ($r$) and linear constraints, making it NP-hard. We propose two algorithms, Feasible…

Optimization and Control · Mathematics 2024-06-19 Masoud Barati

This paper presents the formulation of a combinatorial optimization problem with the following characteristics: i.the search space is the power set of a finite set structured as a Boolean lattice; ii.the cost function forms a U-shaped curve…

Computer Vision and Pattern Recognition · Computer Science 2008-11-03 Marcelo Ris , Junior Barrera , David C. Martins

Accurate prediction of protein active-site structures remains a central challenge in structural biology, particularly for short and flexible peptide fragments where conventional and simulation-based methods often fail. Here, we present a…

Computing the exact optimal experimental design has been a longstanding challenge in various scientific fields. This problem, when formulated using a specific information function, becomes a mixed-integer nonlinear programming (MINLP)…

Methodology · Statistics 2024-09-30 Ling Liang , Haizhao Yang

Protein structure prediction (PSP) is computationally a very challenging problem. The challenge largely comes from the fact that the energy function that needs to be minimised in order to obtain the native structure of a given protein is…

Computational Engineering, Finance, and Science · Computer Science 2013-11-18 Mahmood A. Rashid , M. A. Hakim Newton , Md. Tamjidul Hoque , Abdul Sattar

Efficient algorithms for the calculation of minimum energy paths of magnetic transitions are implemented within the geodesic nudged elastic band (GNEB) approach. While an objective function is not available for GNEB and a traditional line…

Computational Physics · Physics 2020-11-30 Aleksei V. Ivanov , Damjan Dagbartsson , Julien Tranchida , Valery M. Uzdin , Hannes Jónsson

Protein folding, which dictates the protein structure from its amino acid sequence, is half a century old problem of biology. The function of the protein correlates with its structure, emphasizing the need of understanding protein folding…

Quantum Physics · Physics 2025-01-03 Jaya Vasavi P , Soham Bopardikar , Avinash D , Ashwini K , Kalyan Dasgupta , Sanjib Senapati

Protein folding -- the problem of predicting the spatial structure of a protein given its sequence of amino-acids -- has attracted considerable research effort in biochemistry in recent decades. In this work, we explore the potential of…

Quantum Physics · Physics 2022-04-06 Sami Boulebnane , Xavier Lucas , Agnes Meyder , Stanislaw Adaszewski , Ashley Montanaro

Quantum heuristics have shown promise in solving various optimization problems, including lattice protein folding. Equally relevant is the inverse problem, protein design, where one seeks sequences that fold to a given target structure. The…

In modern biology, one of the most important research problems is to understand how protein sequences fold into their native 3D structures. To investigate this problem at a high level, one wishes to analyze the protein landscapes, i.e., the…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 James Aspnes , Julia Hartling , Ming-Yang Kao , Junhyong Kim , Gauri Shah

The linear sequence of amino acids determines protein structure and function. Protein design, known as the inverse of protein structure prediction, aims to obtain a novel protein sequence that will fold into the defined structure. Recent…

Biomolecules · Quantitative Biology 2023-02-22 Cheng Tan , Zhangyang Gao , Jun Xia , Bozhen Hu , Stan Z. Li

This paper presents a fast method for global search of atomic structures at ab initio level. The structures global optimization (SGO) engine consists of a high-efficiency differential evolution algorithm, accelerated local relaxation…

Materials Science · Physics 2017-09-13 Zhanghui Chen , Weile Jia , Lin-Wang Wang

Finding a globally optimal Bayesian Network using exhaustive search is a problem with super-exponential complexity, which severely restricts the number of variables that it can work for. We implement a dynamic programming based algorithm…

Artificial Intelligence · Computer Science 2022-07-19 Nand Sharma , Joshua Millstein

We present a method for reliably determining the lowest energy structure of an atomic cluster in an arbitrary model potential. The method is based on a genetic algorithm, which operates on a population of candidate structures to produce new…

mtrl-th · Physics 2009-10-28 D. M. Deaven , K. M. Ho

Predicting the structure of a protein from its sequence is a cornerstone task of molecular biology. Established methods in the field, such as homology modeling and fragment assembly, appeared to have reached their limit. However, this year…

Machine Learning · Computer Science 2018-12-05 Georgy Derevyanko , Guillaume Lamoureux

Recent advances in coarse-grained lattice and off-lattice protein models are reviewed. The sequence dependence of thermodynamical folding properties are investigated and evidence for non-randomness of the binary sequences of good folders…

High Energy Physics - Lattice · Physics 2015-06-25 C. Peterson

We consider the problem of computing a lightest derivation of a global structure using a set of weighted rules. A large variety of inference problems in AI can be formulated in this framework. We generalize A* search and heuristics derived…

Artificial Intelligence · Computer Science 2011-10-12 P. F. Felzenszwalb , D. McAllester
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