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Understanding the relationships between protein sequence, structure and function is a long-standing biological challenge with manifold implications from drug design to our understanding of evolution. Recently, protein language models have…

Quantitative Methods · Quantitative Biology 2024-01-29 Dexiong Chen , Philip Hartout , Paolo Pellizzoni , Carlos Oliver , Karsten Borgwardt

Protein design has the potential to revolutionize biotechnology and medicine. While most efforts have focused on proteins with well-defined structures, increased recognition of the functional significance of intrinsically disordered…

Biomolecules · Quantitative Biology 2025-09-17 Giulio Tesei , Francesco Pesce , Kresten Lindorff-Larsen

The native state structures of globular proteins are stable and well-packed indicating that self-interactions are favored over protein-solvent interactions under folding conditions. We use this as a guiding principle to derive the geometry…

Biomolecules · Quantitative Biology 2021-07-14 Tatjana Škrbić , Amos Maritan , Achille Giacometti , George D. Rose , Jayanth R. Banavar

Proteins play a key role in facilitating the infectiousness of the 2019 novel coronavirus. A specific spike protein enables this virus to bind to human cells, and a thorough understanding of its 3-dimensional structure is therefore critical…

Biomolecules · Quantitative Biology 2020-10-28 Samuel W. K. Wong

This piece serves two purposes. Firstly, it aims at elucidating the role of epistasis in shaping, at a molecular level, the evolutionary paths of proteins, as well as the extent to which these epistatic effects are the outcome of an…

Populations and Evolution · Quantitative Biology 2025-08-01 Jorge A. Vila

This chapter deals with approaches for protein three-dimensional structure prediction, starting out from a single input sequence with unknown struc- ture, the 'query' or 'target' sequence. Both template based and template free modelling…

Biomolecules · Quantitative Biology 2017-12-04 Sanne Abeln , Jaap Heringa , K. Anton Feenstra

Proteins are central to biological systems, participating as building blocks across all forms of life. Despite advancements in understanding protein functions through protein sequence analysis, there remains potential for further…

Machine Learning · Computer Science 2025-08-29 Yunqing Liu , Wenqi Fan , Xiaoyong Wei , Qing Li

Here we review the development of protein scaling theory, starting from backgrounds in mathematics and statistical mechanics, and leading to biomedical applications. Evolution has organized each protein family in different ways, but scaling…

Other Quantitative Biology · Quantitative Biology 2016-10-14 J. C. Phillips

Proteins are biological polymers that underlie all cellular functions. The first high-resolution protein structures were determined by x-ray crystallography in the 1960s. Since then, there has been continued interest in understanding and…

Soft Condensed Matter · Physics 2017-06-20 Jennifer C. Gaines , Abram H. Clark , Lynne Regan , Corey S. O'Hern

The coding space of protein sequences is shaped by evolutionary constraints set by requirements of function and stability. We show that the coding space of a given protein family--the total number of sequences in that family--can be…

Biomolecules · Quantitative Biology 2020-11-20 Jacopo Marchi , Ezequiel A. Galpern , Rocio Espada , Diego U. Ferreiro , Aleksandra M. Walczak , Thierry Mora

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

Proteins evolve through complex sequence spaces, with fitness landscapes serving as a conceptual framework that links sequence to function. Fitness landscapes can be smooth, where multiple similarly accessible evolutionary paths are…

Populations and Evolution · Quantitative Biology 2024-11-21 Mahakaran Sandhu , John Chen , Dana Matthews , Matthew A Spence , Sacha B Pulsford , Barnabas Gall , James Nichols , Nobuhiko Tokuriki , Colin J Jackson

Biological diversity has evolved despite the essentially infinite complexity of protein sequence space. We present a hierarchical approach to the efficient searching of this space and quantify the evolutionary potential of our approach with…

Statistical Mechanics · Physics 2009-10-31 Leonard D. Bogarad , Michael W. Deem

We present a sequence-based probabilistic formalism that directly addresses co-operative effects in networks of interacting positions in proteins, providing significantly improved contact prediction, as well as accurate quantitative…

Quantitative Methods · Quantitative Biology 2012-07-12 Alan Lapedes , Bertrand Giraud , Christopher Jarzynski

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Biomolecules · Quantitative Biology 2023-07-10 K. Anton Feenstra , Sanne Abeln

These lectures will address two questions. Is there a simple variational principle underlying the existence of secondary motifs in the native state of proteins? Is there a general approach which can qualitatively capture the salient…

Statistical Mechanics · Physics 2007-05-23 Jay Banavar , Amos Maritan , Cristian Micheletti , Flavio Seno

Proteins exist as a dynamic ensemble of multiple conformations, and these motions are often crucial for their functions. However, current structure prediction methods predominantly yield a single conformation, overlooking the conformational…

Biomolecules · Quantitative Biology 2025-06-18 Advaith Maddipatla , Nadav Bojan Sellam , Meital Bojan , Sanketh Vedula , Paul Schanda , Ailie Marx , Alex M. Bronstein

Learning from 3D protein structures has gained wide interest in protein modeling and structural bioinformatics. Unfortunately, the number of available structures is orders of magnitude lower than the training data sizes commonly used in…

Biomolecules · Quantitative Biology 2022-06-01 Pedro Hermosilla , Timo Ropinski

Recent computational advances in the accurate prediction of protein three-dimensional (3D) structures from amino acid sequences now present a unique opportunity to decipher the interrelationships between proteins. This task entails--but is…

Biomolecules · Quantitative Biology 2020-05-19 Menuka Jaiswal , Saad Saleem , Yonghyeon Kweon , Eli J Draizen , Stella Veretnik , Cameron Mura , Philip E. Bourne

Motivation: Human cancer is caused by the accumulation of somatic mutations in tumor suppressors and oncogenes within the genome. In the case of oncogenes, recent theory suggests that there are only a few key "driver" mutations responsible…

Genomics · Quantitative Biology 2013-07-16 Gregory Ryslik , Yuwei Cheng , Kei-Hoi Cheung , Yorgo Modis , Hongyu Zhao