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We study a simple solvable model describing the genesis of monomer sequences for hetero-polymers (such as proteins), as the result of the equilibration of a slow stochastic genetic selection process which is assumed to be driven by the…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Chakravorty , A. C. C. Coolen , D. Sherrington

With the help of a simple 20 letters, lattice model of heteropolymers, we investigate the energy landscape in the space of designed good-folder sequences. Low-energy sequences form clusters, interconnected via neutral networks, in the space…

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

In a similar way in which the folding of single--domain proteins provide an important test in the study of self--organization, the folding of homodimers constitute a basic challenge in the quest for the mechanisms which are at the basis of…

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

We present the results of a self-consistent, unified molecular dynamics study of simple model heteropolymers in the continuum with emphasis on folding, sequence design and the determination of the interaction parameters of the effective…

Statistical Mechanics · Physics 2009-10-31 Cecilia Clementi , Amos Maritan , Jayanth R. Banavar

A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known to be typically in competition, but it is not known how to…

Soft Condensed Matter · Physics 2021-07-01 Anthony Trubiano , Miranda Holmes-Cerfon

The thermodynamics of the small SH3 protein domain is studied by means of a simplified model where each bead-like amino acid interacts with the others through a contact potential controlled by a 20x20 random matrix. Good folding sequences,…

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

A new lattice protein model with a four-helix bundle ground state is analyzed by a parameter-space Monte Carlo histogram technique to evaluate the effects of an extensive variety of model potentials on folding thermodynamics. Cooperative…

Statistical Mechanics · Physics 2009-10-31 Huseyin Kaya , Hue Sun Chan

Two-state cooperativity is an important characteristic in protein folding. It is defined by a depletion of states lying energetically between folded and unfolded conformations. While there are different ways to test for two-state…

Biomolecules · Quantitative Biology 2015-05-28 Tristan Bereau , Markus Deserno , Michael Bachmann

With the help of lattice Monte Carlo modelling of heteropolymers, we show that the necessary condition for a protein to fold on short call is to proceed through partially folded intermediates. These elementary structures are formed at an…

Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

Coarse-grained (lattice-) models have a long tradition in aiding efforts to decipher the physical or biological complexity of proteins. Despite the simplicity of these models, however, numerical simulations are often computationally very…

Soft Condensed Matter · Physics 2012-09-14 Thomas Wüst , David P. Landau

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla

In order to elucidate the role of the native state topology and the stability of subdomains in protein folding, we investigate free energy landscape of human lysozyme, which is composed of two subdomains, by Monte Carlo simulations. A…

Biomolecules · Quantitative Biology 2007-05-23 Hiroo Kenzaki , Macoto Kikuchi

The thermodynamics of proteins indicate that folding/unfolding takes place either through stable intermediates or through a two-state process without intermediates. The rather short folding times of the two-state process indicate that…

Condensed Matter · Physics 2016-08-31 Audun Bakk , Johan S. Hoye , Alex Hansen , Kim Sneppen , Mogens Hogh Jensen

The thermodynamic behavior of a three-dimensional off-lattice model for protein folding is probed. The model has only two types of residues, hydrophobic and hydrophilic. In absence of local interactions, native structure formation does not…

Chemical Physics · Physics 2009-10-30 Anders Irbäck , Carsten Peterson , Frank Potthast , Ola Sommelius

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

We examined what determines the designability of 2-letter codes (H and P) lattice proteins from three points of view. First, whether the native structure is searched within all possible structures or within maximally compact structures.…

Soft Condensed Matter · Physics 2009-10-31 Rie Tatsumi , George Chikenji

By balancing the average energy gap with its typical change due to mutations for protein-like heteropolymers with M residues, we show that native states are unstable to mutations on a scale M* ~ (lambda/sigma_mu)^(1/zeta_s), where lambda is…

Soft Condensed Matter · Physics 2009-10-30 H. J. Bussemaker , D. Thirumalai , J. K. Bhattacharjee

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 study the designability of all compact 3x3x3 and 6x6 lattice-protein structures using the Miyazawa-Jernigan (MJ) matrix. The designability of a structure is the number of sequences that design the structure, i.e. sequences that have that…

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