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We consider the statistical mechanics of a full set of two-dimensional protein-like heteropolymers, whose thermodynamics is characterized by the coil-to-globular ($T_\theta$) and the folding ($T_f$) transition temperatures. For our model,…

chem-ph · Physics 2009-10-28 Carlos J. Camacho , D. Thirumalai

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

Modeling and simulating the protein folding process overall remains a grand challenge in computational biology. We systematically investigate end-to-end quantum algorithms for simulating various protein dynamics with effects, such as…

Quantum Physics · Physics 2025-04-17 Zhenning Liu , Xiantao Li , Chunhao Wang , Jin-Peng Liu

The theory of elastic rods can be used to describe certain geometric and topological properties of the DNA molecules. A similar effective field theory approach was previously suggested to describe the conformations and dynamics of proteins.…

Biomolecules · Quantitative Biology 2019-09-04 Dmitry Melnikov , Alyson B. F. Neves

Using three-dimensional Go lattice models with side chains for proteins, we investigate the dependence of folding times on protein length. In agreement with previous theoretical predictions, we find that the folding time grows as a power…

Soft Condensed Matter · Physics 2007-05-23 Mai Suan Li , D. K. Klimov , D. Thirumalai

Proteins created by combinatorial methods in vitro are an important source of information for understanding sequence-structure-function relationships. Alignments of folded proteins from combinatorial libraries can be analyzed using methods…

Biomolecules · Quantitative Biology 2007-05-23 Jeffrey B. Endelman , Jesse D. Bloom , Christopher R. Otey , Marco Landwehr , Frances H. Arnold

The folding of a protein towards its native state is a rather complicated process. However there are empirical evidences that the folding time correlates with the contact order, a simple measure of the spatial organisation of the native…

Soft Condensed Matter · Physics 2017-12-06 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

In order to extend the results obtained with minimal lattice models to more realistic systems, we study a model where proteins are described as a chain of 20 kinds of structureless amino acids moving in a continuum space and interacting…

Biomolecules · Quantitative Biology 2009-11-11 A. Amatori , G. Tiana , L. Sutto , J. Ferkinghoff-Borg , A. Trovato , R. A. Broglia

Model off-lattice sequences in two dimensions are constructed so that their native states are close to an on-lattice target. The Hamiltonian involves the Lennard-Jones and harmonic interactions. The native states of these sequences are…

Soft Condensed Matter · Physics 2009-10-31 Mai Suan Li , Marek Cieplak

We apply a new approach to the reverse protein folding problem. Our method uses a minimization function in the design process which is different from the energy function used for folding. For a lattice model, we show that this new approach…

Condensed Matter · Physics 2009-10-28 J. M. Deutsch , Tanya Kurosky

The adhesion of biological membranes is mediated by the binding of membrane-anchored receptor and ligand proteins. Central questions are how the binding kinetics of these proteins is affected by the membranes and by the membrane anchoring…

Biomolecules · Quantitative Biology 2015-11-30 Jinglei Hu , Guang-Kui Xu , Reinhard Lipowsky , Thomas R. Weikl

We propose an algorithmic strategy for improving the efficiency of Monte Carlo searches for the low-energy states of proteins. Our strategy is motivated by a model of how proteins alter their shapes. In our model when proteins fold under…

Soft Condensed Matter · Physics 2009-11-07 Michael Cahill , Sean Cahill , Kevin Cahill

The folding of a peptide chain into a three dimensional structure is a thermodynamically driven process such that the chain naturally evolves to form domains of similar amino acids. The formation of this domain occurs by curling the one…

Statistical Mechanics · Physics 2018-02-01 Theja N. De Silva , Vattika Sivised

We investigate aggregation mechanism of two proteins in a thermodynamically unambiguous manner by considering the finite size effect of free energy landscape of HP lattice protein model. Multi-Self-Overlap-Ensemble Monte Carlo method is…

Biomolecules · Quantitative Biology 2009-11-13 Kazuki Nakanishi , Macoto Kikuchi

We offer simple solutions to three kinematic problems that occur in the folding of proteins. We show how to construct suitably local elementary Monte Carlo moves, how to close a loop, and how to fold a loop without breaking the bond that…

Biological Physics · Physics 2016-09-08 Sean Cahill , Michael Cahill , Kevin Cahill

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

We have analyzed dynamics on the complex free energy landscape of protein folding in the FOLD-X model, by calculating for each state of the system the mean first passage time to the folded state. The resulting kinetic map of the folding…

Statistical Mechanics · Physics 2009-11-10 M. A. Micheelsen , C. Rischel , J. Ferkinghoff-Borg , R. Guerois , L. Serrano

One of the most intriguing results of single molecule experiments on proteins and nucleic acids is the discovery of functional heterogeneity: the observation that complex cellular machines exhibit multiple, biologically active…

Biomolecules · Quantitative Biology 2022-10-12 Michael Hinczewski , Changbong Hyeon , D. Thirumalai

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

The three dimensional structure of a protein is an outcome of the interactions of its constituent amino acids in 3D space. Considering the amino acids as nodes and the interactions among them as edges we have constructed and analyzed…

Biomolecules · Quantitative Biology 2010-07-26 Dhriti Sengupta , Sudip Kundu
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