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We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

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

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

Shortly after the determination of the first protein x-ray crystal structures, researchers analyzed their cores and reported packing fractions $\phi \approx 0.75$, a value that is similar to close packing equal-sized spheres. A limitation…

Biomolecules · Quantitative Biology 2016-04-06 Jennifer C. Gaines , W. Wendell Smith , Lynne Regan , Corey S. O'Hern

To what extent do general features of folding/unfolding kinetics of small globular proteins follow from their thermodynamic properties? To address this question, we investigate a new simplifed protein chain model that embodies a cooperative…

Soft Condensed Matter · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

We develop a theoretical approach to the protein folding problem based on out-of-equilibrium stochastic dynamics. Within this framework, the computational difficulties related to the existence of large time scale gaps in the protein folding…

Quantitative Methods · Quantitative Biology 2009-11-13 M. Sega , P. Faccioli , F. Pederiva , G. Garberoglio , H. Orland

Protein folding, which dictates the protein structure from its amino acid sequence, is half a century old problem of biology. The function of the protein correlates with its structure, emphasizing the need of understanding protein folding…

Quantum Physics · Physics 2025-01-03 Jaya Vasavi P , Soham Bopardikar , Avinash D , Ashwini K , Kalyan Dasgupta , Sanjib Senapati

Designing protein sequences that fold into a target 3-D structure, termed as the inverse folding problem, is central to protein engineering. However, it remains challenging due to the vast sequence space and the importance of local…

Quantitative Methods · Quantitative Biology 2026-03-17 Sazan Mahbub , Souvik Kundu , Eric P. Xing

The current capacity of computers makes it possible to perform simulations of small systems with portable, explicit-solvent potentials achieving high degree of accuracy. However, simplified models must be employed to exploit the behaviour…

Biomolecules · Quantitative Biology 2015-06-18 R. Capelli , C. Paissoni , P. Sormanni , G. Tiana

The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

Understanding the principles of protein folding is a cornerstone of computational biology, with implications for drug design, bioengineering, and the understanding of fundamental biological processes. Lattice protein folding models offer a…

Disordered Systems and Neural Networks · Physics 2025-08-08 Shoummo Ahsan Khandoker , Estelle M. Inack , Mohamed Hibat-Allah

The assumption that similar structures have similar folding probabilities ($p_{fold}$) leads naturally to a procedure to evaluate $p_{fold}$ for every snapshot saved along an equilibrium folding-unfolding trajectory of a structured peptide…

Biomolecules · Quantitative Biology 2009-11-11 Francesco Rao , Giovanni Settanni , Enrico Guarnera , Amedeo Caflisch

We present a simple model of protein folding dynamics that captures key qualitative elements recently seen in all-atom simulations. The goals of this theory are to serve as a simple formalism for gaining deeper insight into the physical…

Biological Physics · Physics 2015-05-19 Vijay S. Pande

In this paper we show that a dynamical description of the protein folding process provides an effective representation of equilibrium properties and it allows for a direct investigation of the mechanisms ruling the approach towards the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Roberto Livi , Antonio Politi

By observing trends in the folding kinetics of experimental 2-state proteins at their transition midpoints, and by observing trends in the barrier heights of numerous simulations of coarse grained, C-alpha model, Go proteins, we show that…

Quantitative Methods · Quantitative Biology 2009-11-10 B. Öztop , M. R. Ejtehadi , S. S. Plotkin

We introduce a new model of proteins, which extends and enhances the traditional graphical representation by associating a combinatorial object called a fatgraph to any protein based upon its intrinsic geometry. Fatgraphs can easily be…

Biomolecules · Quantitative Biology 2009-05-30 R. C. Penner , Michael Knudsen , Carsten Wiuf , Joergen Ellegaard Andersen

Increasing evidence suggests that chromosome folding and genetic expression are intimately connected. For example, the co-expression of a large number of genes can benefit from their spatial co-localization in the cellular space.…

Soft Condensed Matter · Physics 2018-03-13 Guillaume Le Treut

Quantum annealing is a promising approach for obtaining good approximate solutions to difficult optimization problems. Folding a protein sequence into its minimum-energy structure represents such a problem. For testing new algorithms and…

Quantum Physics · Physics 2022-10-13 Anders Irbäck , Lucas Knuthson , Sandipan Mohanty , Carsten Peterson

In spite of decades of research, much remains to be discovered about folding: the detailed structure of the initial (unfolded) state, vestigial folding instructions remaining only in the unfolded state, the interaction of the molecule with…

Biological Physics · Physics 2018-11-26 Walter A. Simmons

We propose a novel approach to detect the binding between proteins making use of the anomalous diffraction of natively present heavy elements inside the molecule 3D structure. In particular, we suggest considering sulfur atoms contained in…