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Stabilizing proteins is a foundational step in protein engineering. However, the evolutionary pressure of all extant proteins makes identifying the scarce number of mutations that will improve thermodynamic stability challenging. Deep…

Biomolecules · Quantitative Biology 2023-11-01 Jeffrey Ouyang-Zhang , Daniel J. Diaz , Adam R. Klivans , Philipp Krähenbühl

Protein inference plays a vital role in the proteomics study. Two major approaches could be used to handle the problem of protein inference; top-down and bottom-up. This paper presents a framework for protein inference, which uses hardware…

Computational Engineering, Finance, and Science · Computer Science 2014-03-07 S. M. Vidanagamachchi , S. D. Dewasurendra , R. G. Ragel

The beautiful structures of single and multi-domain proteins are clearly ordered in some fashion but cannot be readily classified using group theory methods that are successfully used to describe periodic crystals. For this reason, protein…

Soft Condensed Matter · Physics 2021-03-02 Debayan Chakraborty , Mauro Lorenzo Mugnai , D. Thirumalai

Normal mode analysis offers an efficient way of modeling the conformational flexibility of protein structures. Simple models defined by contact topology, known as elastic network models, have been used to model a variety of systems, but the…

Biomolecules · Quantitative Biology 2007-05-23 Dmitry A. Kondrashov , Adam W. Van Wynsberghe , Ryan M. Bannen , Qiang Cui , George N. Phillips

We incorporate hydrodynamic interactions (HI) in a coarse-grained and structure-based model of proteins by employing the Rotne-Prager hydrodynamic tensor. We study several small proteins and demonstrate that HI facilitate folding. We also…

Biomolecules · Quantitative Biology 2009-11-13 Marek Cieplak , Szymon Niewieczerzał

An effective potential function is critical for protein structure prediction and folding simulation. Simplified protein models such as those requiring only $C_\alpha$ or backbone atoms are attractive because they enable efficient search of…

Biomolecules · Quantitative Biology 2007-05-23 Jinfeng Zhang , Rong Chen , Jie Liang

Monte Carlo simulations of a simple lattice model of protein folding show two distinct regimes depending on the chain length. The first regime well describes the folding of small protein sequences and its kinetic counterpart appears to be…

Soft Condensed Matter · Physics 2007-05-23 P. F. N. Faisca , R. C. Ball

Finite mixture models are fitted to spherical data. Kent distributions are used for the components of the mixture because they allow considerable flexibility. Previous work on such mixtures has used an approximate maximum likelihood…

Statistics Theory · Mathematics 2021-04-28 Kanti V. Mardia , Stuart Barber , Philippa M. Burdett , John T. Kent , Thomas Hamelryck

The concept of a protein diffusing in its free energy folding landscape has been fruitful for both theory and experiment. Yet the choice of the reaction coordinate (RC) introduces an undesirable degree of arbitrariness into the problem. We…

Biological Physics · Physics 2015-05-19 Michael Hinczewski , Yann von Hansen , Joachim Dzubiella , Roland R. Netz

CLeFAPS, a fast and flexible pairwise structural alignment algorithm based on a rigid-body framework, namely CLePAPS, is proposed. Instead of allowing twists (or bends), the flexible in CLeFAPS means: (a) flexibilization of the algorithm's…

Quantitative Methods · Quantitative Biology 2009-03-04 Sheng Wang

The accurate sampling of protein dynamics is an ongoing challenge despite the utilization of High-Performance Computers (HPC) systems. Utilizing only "brute force" MD simulations requires an unacceptably long time to solution. Adaptive…

Quantitative Methods · Quantitative Biology 2020-09-25 Eugen Hruska , Vivekanandan Balasubramanian , Hyungro Lee , Shantenu Jha , Cecilia Clementi

Many proteins in cells are capable of sensing and responding to piconewton scale forces, a regime in which conformational changes are small but significant for biological processes. In order to efficiently and effectively sample the…

Statistical Mechanics · Physics 2020-07-08 Michael J. Hartmann , Yuvraj Singh , Eric Vanden-Eijnden , Glen M. Hocky

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

Among the unsolved problems in computational biology, protein folding is one of the most interesting challenges. To study this folding, tools like neural networks and genetic algorithms have received a lot of attention, mainly due to the…

Biomolecules · Quantitative Biology 2016-08-23 Jacques M. Bahi , Nathalie Côté , Christophe Guyeux , Michel Salomon

De novo protein structure prediction from amino acid sequence is one of the most challenging problems in computational biology. As one of the extensively explored mathematical models for protein folding, Hydrophobic-Polar (HP) model enables…

Machine Learning · Computer Science 2018-12-06 Yanjun Li , Hengtong Kang , Ketian Ye , Shuyu Yin , Xiaolin Li

Proteins experience a wide variety of conformational dynamics that can be crucial for facilitating their diverse functions. How is the intrinsic flexibility required for these motions encoded in their three-dimensional structures? Here, the…

Biomolecules · Quantitative Biology 2013-08-14 Joseph A. Marsh

Characterization of protein energy landscape and conformational ensembles is important for understanding mechanisms of protein folding and function. We studied ensembles of bound and unbound conformations of six proteins to explore their…

Biological Physics · Physics 2012-11-06 Anatoly M. Ruvinsky , Tatsiana Kirys , Alexander V. Tuzikov , Ilya A. Vakser

We present a simple theory that uses thermodynamic parameters to predict the probability that a protein retains the wildtype structure after one or more random amino acid substitutions. Our theory predicts that for large numbers of…

Biomolecules · Quantitative Biology 2009-11-10 Jesse D. Bloom , Jonathan J. Silberg , Claus O. Wilke , D. Allan Drummond , Christoph Adami , Frances H. Arnold

Theoretical studies of protein folding on lattice models relie on the assumption that water close to amino-acids is always in thermal equilibrium all along the folding pathway. Within this framework, it has always been considered that…

Biological Physics · Physics 2012-02-08 Olivier Collet

We investigate the folding behavior of protein sequences by numerically studying all sequences with maximally compact lattice model through exhaustive enumeration. We get the prion-like behavior of protein folding. Individual proteins…

Biomolecules · Quantitative Biology 2014-11-18 Yong-Yun Ji , You-Quan Li , Jun-Wen Mao , Xiao-Wei Tang