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The general scepticism and loss of faith on the predictive ability of different mass formulae, arising out of the divergence of their predictions in unknown regions taken with respect to a reference mass formula, is successfully dispelled.…

Nuclear Theory · Physics 2007-05-23 S. K. Patra , P. Arumugam , L. Satpathy

The structure of a protein is crucial in determining its functionality, and is much more conserved than sequence during evolution. A key task in structural biology is to compare protein structures in order to determine evolutionary…

Methodology · Statistics 2019-11-06 Christopher Fallaize , Peter Green , Kanti Mardia , Stuart Barber

Factor models balance flexibility, identifiability, and computational efficiency, with Bayesian spatial factor models particularly prone to identifiability challenges and scaling limitations. This work introduces Projected Bayesian Spatial…

Methodology · Statistics 2025-12-16 Lu Zhang

Understanding complex biological macromolecules, especially proteins, is vital for grasping their diverse chemical functions with direct impact in biology and pharmacology. While techniques like X-ray crystallography and cryo-electron…

Biomolecules · Quantitative Biology 2024-04-12 S. H. Mejias , A. L. Cortajarena , R. Mincigrucci , C. Svetina , C. Masciovecchio

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

We learn the structure of a Markov Network between two groups of random variables from joint observations. Since modelling and learning the full MN structure may be hard, learning the links between two groups directly may be a preferable…

Machine Learning · Statistics 2016-05-30 Song Liu , Taiji Suzuki , Masashi Sugiyama , Kenji Fukumizu

Inverse protein folding is a fundamental task in computational protein design, which aims to design protein sequences that fold into the desired backbone structures. While the development of machine learning algorithms for this task has…

Machine Learning · Computer Science 2024-11-05 Yiheng Zhu , Jialu Wu , Qiuyi Li , Jiahuan Yan , Mingze Yin , Wei Wu , Mingyang Li , Jieping Ye , Zheng Wang , Jian Wu

The protein folding is regarded as a quantum transition between torsion states on polypeptide chain. The deduction of the folding rate formula in our previous studies is reviewed. The rate formula is generalized to the case of frequency…

Biomolecules · Quantitative Biology 2010-08-24 Liaofu Luo

By providing new insights into the distribution of a protein's torsion angles, recent statistical models for this data have pointed the way to more efficient methods for protein structure prediction. Most current approaches have…

Applications · Statistics 2010-11-10 Kristin P. Lennox , David B. Dahl , Marina Vannucci , Ryan Day , Jerry W. Tsai

Protein activity is a significant characteristic for recombinant proteins which can be used as biocatalysts. High activity of proteins reduces the cost of biocatalysts. A model that can predict protein activity from amino acid sequence is…

Quantitative Methods · Quantitative Biology 2018-07-23 X. Han , X. Wang , K. Zhou

One use case of ``physics-informed neural networks'' (PINNs) is solution reconstruction, which aims to estimate the full-field state of a physical system from sparse measurements. Parameterized governing equations of the system are used in…

Computational Engineering, Finance, and Science · Computer Science 2025-05-09 Conor Rowan , Kurt Maute , Alireza Doostan

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen

A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

Soft Condensed Matter · Physics 2009-10-30 Pierpaolo Bruscolini

Classical molecular dynamics (MD) simulations enable modeling of materials and examination of microscopic details that are not accessible experimentally. The predictive capability of MD relies on the force field (FF) used to describe…

For frequentist settings in which parameter randomness represents variability rather than uncertainty, the ideal measure of the support for one hypothesis over another is the difference in the posterior and prior log odds. For situations in…

Statistics Theory · Mathematics 2013-09-03 David R. Bickel

Recent advancements in deep learning for predicting 3D protein structures have shown promise, particularly when leveraging inputs like protein sequences and Cryo-Electron microscopy (Cryo-EM) images. However, these techniques often fall…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Jaydeep Rade , Ethan Herron , Soumik Sarkar , Anwesha Sarkar , Adarsh Krishnamurthy

A force field as accurate as quantum mechanics (QM) and as fast as molecular mechanics (MM), with which one can simulate a biomolecular system efficiently enough and meaningfully enough to get quantitative insights, is among the most ardent…

Systematic identification of protein function is a key problem in current biology. Most traditional methods fail to identify functionally equivalent proteins if they lack similar sequences, structural data or extensive manual annotations.…

Genomics · Quantitative Biology 2016-03-08 Dan Ofer

Recent developments in deep learning-based methods demonstrated its potential to predict the 3D protein structures using inputs such as protein sequences, Cryo-Electron microscopy (Cryo-EM) images of proteins, etc. However, these methods…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Jaydeep Rade , Soumik Sarkar , Anwesha Sarkar , Adarsh Krishnamurthy

The use of beta-solenoid proteins as functionalizable, nanoscale, self-assembling molecular building blocks may have many applications, including templating the growth of wires or higher-dimensional structures. By understanding their…

Biomolecules · Quantitative Biology 2017-06-20 Amanda S. Parker , Krishnakumar M. Ravikumar , Daniel L. Cox
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