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A fundamental goal of research in molecular biology is to understand protein structure. Protein crystallography is currently the most successful method for determining the three-dimensional (3D) conformation of a protein, yet it remains…

Artificial Intelligence · Computer Science 2014-11-17 L. Leherte , J. Glasgow , K. Baxter , E. Steeg , S. Fortier

Single-particle cryo-electron microscopy (cryo-EM) is a leading technology to resolve the structure of molecules. Early in the process, the user detects potential particle images in the raw data. Typically, there are many false detections…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Gili Weiss-Dicker , Amitay Eldar , Yoel Shkolinsky , Tamir Bendory

In multi-resolution simulations, different system components are simultaneously modelled at different levels of resolution, these being smoothly coupled together. In the case of enzyme systems, computationally expensive atomistic detail is…

Biological Physics · Physics 2016-11-03 Aoife C. Fogarty , Raffaello Potestio , Kurt Kremer

Nucleon electromagnetic form factors are studied in the cloudy bag model (CBM) with center-of-mass and recoil corrections. This is the first presentation of a full set of nucleon form factors using the CBM. The center of mass motion is…

Nuclear Theory · Physics 2008-11-26 D. H. Lu , A. W. Thomas , A. G. Williams

Biological functions stem from coordinated interactions among proteins, nucleic acids and small molecules. Mass spectrometry technologies for reliable, high throughput single-cell proteomics will add a new modality to genomics and enable…

Genomics · Quantitative Biology 2023-11-07 Andrew Leduc , Hannah Harens , Nikolai Slavov

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from unknown viewing directions. Many algorithms for SPR start…

Optimization and Control · Mathematics 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

Determining the stability of molecules and condensed phases is the cornerstone of atomistic modelling, underpinning our understanding of chemical and materials properties and transformations. Here we show that a machine learning model,…

Given that the physical properties of polymeric liquids extend on a wide range of lengthscales, it is computationally convenient to represent them by coarse-grained (CG) descriptions at various granularities to investigate local and global…

Soft Condensed Matter · Physics 2019-06-06 Mohammadhasan Dinpajooh , Marina G. Guenza

The mode of action of proteins is to a large extent given by their ability to adopt different conformations. This is why imaging single biomolecules at atomic resolution is one of the ultimate goals of biophysics and structural biology. The…

Biological Physics · Physics 2012-09-27 Jean-Nicolas Longchamp , Tatiana Latychevskaia , Conrad Escher , Hans-Werner Fink

Scientists use imaging to identify objects of interest and infer properties of these objects. The locations of these objects are often measured with error, which when ignored leads to biased parameter estimates and inflated variance.…

Diffusion models generate high-resolution images through iterative stochastic processes. In particular, the denoising method is one of the most popular approaches that predicts the noise in samples and denoises it at each time step. It has…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Juno Hwang , Yong-Hyun Park , Junghyo Jo

To perform recognition, molecules must locate and specifically bind their targets within a noisy biochemical environment with many look-alikes. Molecular recognition processes, especially the induced-fit mechanism, are known to involve…

Biomolecules · Quantitative Biology 2010-07-27 Yonatan Savir , Tsvi Tlusty

The choice of structural resolution is a fundamental aspect of protein modelling, determining the balance between descriptive power and interpretability. Although atomistic simulations provide maximal detail, much of this information is…

Biomolecules · Quantitative Biology 2025-10-23 Margherita Mele , Raffaele Fiorentini , Thomas Tarenzi , Giovanni Mattiotti , Raffaello Potestio

We review the theoretical behaviour of the total and one-particle structure factors at a quantum phase transition for temperature T=0. The predictions are compared with exact or numerical results for the transverse Ising model, the…

Statistical Mechanics · Physics 2009-11-13 C. J. Hamer

Cryo-EM data processing typically focuses on the structure of the main conformational state under investigation and discards images that belong to other states. This approach can reach atomic resolution, but ignores vast amounts of valuable…

Biomolecules · Quantitative Biology 2024-02-20 Felix Lambrecht , Andreas Kröpelin , Mario Lüttich , Michael Habeck , David Haselbach , Holger Stark

Cryo-electron microscopy (cryo-EM) is a widely used technique for recovering the 3-D structure of biological molecules from a large number of experimentally generated noisy 2-D tomographic projection images of the 3-D structure, taken from…

Numerical Analysis · Mathematics 2025-11-17 Jeremy Hoskins , Yuehaw Khoo , Oscar Mickelin , Amit Singer , Yuguan Wang

Atomic-resolution imaging with scanning transmission electron microscopy is a powerful tool for characterizing the nanoscale structure of materials, in particular features such as defects, local strains, and symmetry-breaking distortions.…

Cryo-EM is a transformational paradigm in molecular biology where computational methods are used to infer 3D molecular structure at atomic resolution from extremely noisy 2D electron microscope images. At the forefront of research is how to…

Quantitative Methods · Quantitative Biology 2025-06-12 Shayan Shekarforoush , David B. Lindell , Marcus A. Brubaker , David J. Fleet

Single particle diffraction imaging experiments at free-electron lasers (FEL) have a great potential for structure determination of reproducible biological specimens that can not be crystallized. One of the challenges in processing the data…

Biological Physics · Physics 2013-10-16 O. M. Yefanov , I. A. Vartanyants

Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modeling. We introduce a fast method for estimating a compressed…

Numerical Analysis · Mathematics 2022-11-01 Nicholas F. Marshall , Oscar Mickelin , Yunpeng Shi , Amit Singer
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