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Related papers: Remark on Protein Collapse from a Random Walk

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The mechanism of the collapse of the superhydrophobic state is elucidated for submerged nanoscale textures forming a three-dimensional interconnected vapor domain. This key issue for the design of nanotextures poses significant simulation…

Soft Condensed Matter · Physics 2017-03-31 Matteo Amabili , Alberto Giacomello , Simone Meloni , Carlo Massimo Casciola

Using Wang-Landau sampling with suitable Monte Carlo trial moves (pull moves and bond-rebridging moves combined) we have determined the density of states and thermodynamic properties for a short sequence of the HP protein model. For free…

Soft Condensed Matter · Physics 2015-03-18 Ying Wai Li , Thomas Wüst , David P. Landau

Proteins fold to a specific functional conformation with a densely packed hydrophobic core that controls their stability. We develop a geometric, yet all-atom model for proteins that explains the universal core packing fraction of…

Soft Condensed Matter · Physics 2025-03-28 Alex T. Grigas , Zhuoyi Liu , Jack A. Logan , Mark D. Shattuck , Corey S. O'Hern

We study a single self avoiding hydrophilic hydrophobic polymer chain, through Monte Carlo lattice simulations. The affinity of monomer $i$ for water is characterized by a (scalar) charge $\lambda_{i}$, and the monomer-water interaction is…

Condensed Matter · Physics 2009-10-31 E. Orlandini , T. Garel

Monte Carlo dynamics of the lattice 48 monomers toy protein is interpreted as a random walk in an abstract (discrete) space of conformations. To test the geometry of this space, we examine the return probability $P(T)$, which is the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rose Du , Alexander Yu. Grosberg , Toyoichi Tanaka

The concepts of globule and random coil were developed to describe the phases of homopolymers and then used to characterize the denatured state of structured cytosolic proteins and intrinsically disordered proteins. Using multi-scale…

Biomolecules · Quantitative Biology 2025-03-12 F. Righini , G. Potel , R. Capelli , G. Tiana

The present paper is dedicated to the 2-dimensional Interacting Partially Directed Self Avoiding Walk constrained to remain in the upper-half plan and interacting with the horizontal axis. The model has been introduced in \cite{F90} to…

Probability · Mathematics 2020-09-22 Alexandre Legrand , Nicolas Pétrélis

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

In random heteropolymer globules with short-range interactions between the monomers, freezing takes place at the microscopic length scale only, and can be described by a 1-step replica symmetry breaking. The fact that the long-range Coulomb…

Soft Condensed Matter · Physics 2009-10-31 Hindrik Jan Angerman , Eugene Shakhnovich

I did off-lattice 3D Monte Carlo simulations for polymer translocation through a narrow pore at low external field, trying to be as close to a direct approach as possible. The process was found non equilibrium globally, but dynamics of the…

Soft Condensed Matter · Physics 2008-06-18 Stanislav Kotsev

We study the pairwise annihilation process $A+A\to$ inert of a number of random walkers, which originally are localized in a small region in space. The size of the colony and the typical distance between particles increases with time and,…

Statistical Mechanics · Physics 2007-05-23 Georg Foltin , Karin A. Dahmen , Nadav M. Shnerb

We use complete enumeration and Monte Carlo techniques to study self--avoiding walks with random nearest--neighbor interactions described by $v_0q_iq_j$, where $q_i=\pm1$ is a quenched sequence of ``charges'' on the chain. For equal numbers…

Condensed Matter · Physics 2009-10-22 Yacov Kantor , Mehran Kardar

We report molecular dynamics simulations of a hydrophobic polymer-chain in aqueous solution between $260 {K}$ and $420 {K}$ at pressures of $1 {bar}$, $3000 {bar}$, and $4500 {bar}$. The simulations reveal a hydrophobically collapsed state…

Soft Condensed Matter · Physics 2017-09-13 Dietmar Paschek , Sascha Nonn , Alfons Geiger

The thermodynamics of a homopolymeric chain with both Van der Waals and highly-directional hydrogen bond interaction is studied. The effect of hydrogen bonds is to reduce dramatically the entropy of low-lying states and to give raise to…

Condensed Matter · Physics 2009-10-31 J. Borg , M. H. Jensen , K. Sneppen , G. Tiana

In recent experiments, small, thick-walled vesicles with a narrow size distribution were formed from copolymers where the degree of polymerisation of the hydrophobic block, N_B, was significantly greater than that of the hydrophilic block,…

Soft Condensed Matter · Physics 2017-09-12 M. J. Greenall

A linear copolymer made of two reciprocally attracting N-monomer blocks collapses to a compact phase through a novel transition, whose exponents are determined with extensive MC simulations in two and three dimensions. In the former case,…

Soft Condensed Matter · Physics 2009-10-31 E. Orlandini , F. Seno , A. L. Stella

We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Moskalenko , Yu. A. Kuznetsov , K. A. Dawson

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

The interplay between structure-search of the native structure and desolvation in protein folding has been explored using a minimalist model. These results support a folding mechanism where most of the structural formation of the protein is…

Soft Condensed Matter · Physics 2015-06-24 Margaret S. Cheung , Angel E. Garcia , Jose N. Onuchic

The collapse and swelling behavior of a generic homopolymer is studied using implicit-solvent, explicit-cosolvent Langevin dynamics computer simulations for varying interaction strengths. The systematic investigation reveals that polymer…

Soft Condensed Matter · Physics 2012-11-06 Anja Muzdalo , Jan Heyda , Joachim Dzubiella