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We demonstrate a new algorithm for finding protein conformations that minimize a non-bonded energy function. The new algorithm, called the difference map, seeks to find an atomic configuration that is simultaneously in two constraint…

Biomolecules · Quantitative Biology 2007-06-13 Ivan C. Rankenburg , Veit Elser

In this article we determine several theorems and methods for solving linear congruences and systems of linear congruences, and we find the number of distinct solutions. Many examples of solving congruences are given.

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache

This paper presents a method of reconstruction a primary structure of a protein that folds into a given geometrical shape. This method predicts the primary structure of a protein and restores its linear sequence of amino acids in the…

Quantitative Methods · Quantitative Biology 2017-01-04 Andrii Riazanov , Mikhail Karasikov , Sergei Grudinin

Multiple network alignment is the problem of identifying similar and related regions in a given set of networks. While there are a large number of effective techniques for pairwise problems with two networks that scale in terms of edges,…

Social and Information Networks · Computer Science 2018-09-24 Huda Nassar , Georgios Kollias , Ananth Grama , David F. Gleich

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

Understanding the structure of a protein complex is crucial indetermining its function. However, retrieving accurate 3D structures from microscopy images is highly challenging, particularly as many imaging modalities are two-dimensional.…

Quantitative Methods · Quantitative Biology 2021-10-18 Benjamin J. Blundell , Christian Sieben , Suliana Manley , Ed Rosten , QueeLim Ch'ng , Susan Cox

For a given set of intervals on the real line, we consider the problem of ordering the intervals with the goal of minimizing an objective function that depends on the exposed interval pieces (that is, the pieces that are not covered by…

Data Structures and Algorithms · Computer Science 2011-12-05 Christoph Dürr , Maurice Queyranne , Frits C. R. Spieksma , Fabrice Talla Nobibon , Gerhard J. Woeginger

Methods for alignment of protein sequences typically measure similarity by using substitution matrix with scores for all possible exchanges of one amino acid with another. Although widely used, the matrices derived from homologous sequence…

Biomolecules · Quantitative Biology 2007-05-23 Xin Liu , Wei-Mou Zheng

In this work we set out to find a method to classify protein structures using a Deep Learning methodology. Our Artificial Intelligence has been trained to recognize complex biomolecule structures extrapolated from the Protein Data Bank…

Machine Learning · Computer Science 2021-11-04 Damiano Perri , Marco Simonetti , Andrea Lombardi , Noelia Faginas-Lago , Osvaldo Gervasi

Nuclear magnetic resonance (NMR) spectroscopy is one of the leading techniques for protein studies. The method features a number of properties, allowing to explain macromolecular interactions mechanistically and resolve structures with…

Quantitative Methods · Quantitative Biology 2018-08-03 Piotr Klukowski , Adam Gonczarek

Protein-protein interaction (PPI) network alignment is a canonical operation to transfer biological knowledge among species. The alignment of PPI-networks has many applications, such as the prediction of protein function, detection of…

Molecular Networks · Quantitative Biology 2019-05-15 Ehsan Kazemi , Matthias Grossglauser

Realistic 3D-conformations of protein structures can be embedded in a cubic lattice using exclusively integer numbers, additions, subtractions and boolean operations.

Biological Physics · Physics 2010-04-13 Jacques Gabarro-Arpa

Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

Optimization and Control · Mathematics 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

Molecular docking is an essential tool for drug design. It helps the scientist to rapidly know if two molecules, respectively called ligand and receptor, can be combined together to obtain a stable complex. We propose a new multi-objective…

Quantitative Methods · Quantitative Biology 2008-11-05 Jean-Charles Boisson , Laetitia Jourdan , El-Ghazali Talbi , Dragos Horvath

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

Populations and Evolution · Quantitative Biology 2013-04-17 Russell J. Dickson , Gregory B. Gloor

Projection algorithms are well known for their simplicity and flexibility in solving feasibility problems. They are particularly important in practice due to minimal requirements for software implementation and maintenance. In this work, we…

Optimization and Control · Mathematics 2020-04-14 Minh N. Dao , Hung M. Phan

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

Accurately modeling and designing protein complex structures is a central problem in computational structural biology, with broad implications for understanding cellular function and developing therapeutics. This thesis investigates two…

Machine Learning · Computer Science 2026-05-13 Ziwei Xie

This work reports a new methodology aimed at describing characteristics of protein structural shapes, and suggests a framework in which to resolve or classify automatically such structures into known families. This new approach to protein…

Quantitative Methods · Quantitative Biology 2007-05-23 Marconi Soares Barbosa , Rinaldo Wander Montalvao , Tom Blundell , Luciano da Fontoura Costa

We introduce an algorithm for the alignment of protein- coding sequences accounting for frameshifts. The main specificity of this algorithm as compared to previously published protein-coding sequence alignment methods is the introduction of…

Data Structures and Algorithms · Computer Science 2015-08-21 François Bélanger , Aïda Ouangraoua