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Amphiphilic molecules and their self-assembled structures have long been the target of extensive research due to their potential applications in fields ranging from materials design to biomedical and cosmetic applications. Increasing…

Structural cellular materials in nature, such as wood, trabecular bone, corals, and dentin combine complex biological functions with structural roles, such as skeletal support and impact protection1,2. They feature complex structural…

How proteins fold remains a central unsolved problem in biology. While the idea of a folding code embedded in the amino acid sequence was introduced more than 6 decades ago, this code remains undefined. While we now have powerful predictive…

Biomolecules · Quantitative Biology 2025-11-04 Carlos Bustamante , Christian Kaiser , Erik Lindahl , Robert Sosa , Giovanni Volpe

Native protein folds often have a high degree of symmetry. We study the relationship between the symmetries of native proteins, and their designabilities -- how many different sequences encode a given native structure. Using a…

Statistical Mechanics · Physics 2009-10-31 Tairan Wang , Jonathan Miller , Ned S. Wingreen , Chao Tang , Ken A. Dill

The prediction of the three-dimensional native structure of proteins from the knowledge of their amino acid sequence, known as the protein folding problem, is one of the most important yet unsolved issues of modern science. Since the…

Biological Physics · Physics 2008-11-24 Pablo Echenique

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between…

Statistical Mechanics · Physics 2009-11-10 D. Brockmann , T. Geisel

Understanding how monomeric proteins fold under in vitro conditions is crucial to describing their functions in the cellular context. Significant advances both in theory and experiments have resulted in a conceptual framework for describing…

Soft Condensed Matter · Physics 2010-07-20 D. Thirumalai , Edward P. O'Brien , Greg Morrison , Changbong Hyeon

There are large number of proteins, the existence of which are known but not their crystal structure, because of difficulty in finding the exact condition for their crystallization. Heterogeneous nucleation on disordered porous substrates…

Biological Physics · Physics 2015-10-19 Anindita Sengupta Ghatak , Animangsu Ghatak

Globular proteins are expected to assume folds with fixed secondary structures, alpha-helices and beta-sheets. Fold-switching proteins challenge this expectation by remodeling their secondary and/or tertiary structures in response to…

Biomolecules · Quantitative Biology 2025-07-16 Devlina Chakravarty , Lauren L. Porter

Making use of a simplified model for protein folding, it can be shown that conformations which are particularly stable when their energy is minimized with respect to amino acid sequence (in the sense that they display a large energy gap to…

Soft Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana , H. E. Roman

Proteins must fold quickly to acquire their biologically functional three-dimensional native structures. Hence, these are mainly stabilized by local contacts, while intricate topologies such as knots are rare. Here, we reveal the existence…

Biomolecules · Quantitative Biology 2019-06-20 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

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

Non-native conformations drive protein misfolding diseases, complicate bioengineering efforts, and fuel molecular evolution. No current experimental technique is well-suited for elucidating them and their phenotypic effects. Especially…

Only about 1,000 qualitatively different protein folds are believed to exist in nature. Here, we review theoretical studies which suggest that some folds are intrinsically more designable than others, {\it i.e.} are lowest energy states of…

Statistical Mechanics · Physics 2007-05-23 Ned Wingreen , Hao Li , Chao Tang

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

Machine Learning · Computer Science 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

Protein structures in nature often exhibit a high degree of regularity (secondary structures, tertiary symmetries, etc.) absent in random compact conformations. We demonstrate in a simple lattice model of protein folding that structural…

Condensed Matter · Physics 2009-10-28 Hao Li , Robert Helling , Chao Tang , Ned Wingreen

The idea that structural disorder might be a novel mechanism of protein interaction is widespread in the Literature, although the number of statistically significant structural studies supporting this is surprisingly low. At variance with…

Disordered Systems and Neural Networks · Physics 2021-03-01 Beatriz Seoane , Alessandra Carbone

The well known phenomenon of phase separation in synthetic polymers and proteins has become a major topic in biophysics because it has been invoked as a mechanism of compartment formation in cells, without the need for membranes. Most of…

Biomolecules · Quantitative Biology 2023-06-06 D. Thirumalai , Abhinaw Kumar , Debayan Chakraborty , John E. Straub , Mauro L. Mugnai

We analyze a model statistical description of the polypeptide chain helix-coil transition, where we take into account the specificity of its primary sequence, as quantified by the phase space volume ratio of the number of all accessible…

Biomolecules · Quantitative Biology 2015-07-15 Artem Badasyan , Yevgeni Sh. Mamasakhlisov , Rudolf Podgornik , V. Adrian Parsegian