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We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between changes of direction, and is inspired by the…

Statistical Mechanics · Physics 2015-03-17 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

We provide a generic scheme to separate the particles of a mixture by their physical properties like mass, friction or size. The scheme employs a periodically shaken two dimensional dissipative lattice and hinges on a simultaneous transport…

Chaotic Dynamics · Physics 2018-05-30 Aritra K. Mukhopadhyay , Benno Liebchen , Peter Schmelcher

Chaperone-assisted translocation through a nanopore embedded in membrane holds a prominent role in the transport of biopolymers. Inspired by classical Brownian ratchet, we develop a theoretical framework characterizing such translocation…

Biological Physics · Physics 2020-02-17 Xining Xu , Yunxin Zhang

Motivated by experiments in which a polynucleotide is driven through a proteinaceous pore by an electric field, we study the diffusive motion of a polymer threaded through a narrow channel with which it may have strong interactions. We show…

Biological Physics · Physics 2009-10-31 David K. Lubensky , David R. Nelson

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

Cytoskeletal networks of biopolymers are cross-linked by a variety of proteins. Experiments have shown that dynamic cross-linking with physiological linker proteins leads to complex stress relaxation and enables network flow at long times.…

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

Statistical Mechanics · Physics 2011-01-20 Thomas Franosch , Markus Spanner , Teresa Bauer , Gerd E. Schröder-Turk , Felix Höfling

A multiscale approach is used to simulate the translocation of DNA through a nanopore. Within this scheme, the interactions of the molecule with the surrounding fluid (solvent) are explicitly taken into account. By generating polymers of…

Biological Physics · Physics 2009-11-13 Simone Melchionna , Maria Fyta , Efthimios Kaxiras , Sauro Succi

For biologically relevant macromolecules such as intrinsically disordered proteins, internal degrees of freedom that allow for shape changes have a large influence on both the motion and function of the compound. A detailed understanding of…

In the paper a novel stochastic algorithm designed to study of chain-like bodies dynamics is introduced. This algorithm models chain movements induced by the tension propagation and its main idea relies on the sequentialization of each…

Soft Condensed Matter · Physics 2013-12-17 Andrzej Z. Grzybowski , Zbigniew Domanski

We present a study on the dynamics of a system consisting of a pair of hardcore particles diffusing with different rates. We solved the drift-diffusion equation for this model in the case when one particle, labeled F, drifts and diffuses…

Statistical Mechanics · Physics 2010-12-14 S. L. Narasimhan , A. Baumgaertner

The transport of macromolecules, such as DNA, through the cytoskeleton is critical to wide-ranging cellular processes from cytoplasmic streaming to transcription. The rigidity and steric hindrances imparted by the network of filaments…

Intracellular transport of cargoes in the cell is essential for the organization and functioning cells, especially those that are large and elongated. The cytoskeletal networks inside large cells can be highly complex, and this cytoskeletal…

Biological Physics · Physics 2023-08-04 Nimisha Krishnan , Niranjan Sarpangala , Maria Gamez , Ajay Gopinathan , Jennifer L Ross

Using an example of physical interactions between proteins, we study how perturbations propagate in interconnected networks whose equilibrium state is governed by the law of mass action. We introduce a comprehensive matrix formalism which…

Molecular Networks · Quantitative Biology 2009-11-13 Sergei Maslov , Kim Sneppen , Iaroslav Ispolatov

A simple one-dimensional lattice model is suggested to describe the experimentally observed plateau in force-stretching diagrams for some macromolecules. This chain model involves the nearest-neighbor interaction of a Morse-like potential…

Pattern Formation and Solitons · Physics 2015-06-03 P. L. Christiansen , A. V. Savin , A. V. Zolotaryuk

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

We simulate the evolution of a protein-like sequence subject to point mutations, imposing conservation of the ground state, thermodynamic stability and fast folding. Our model is aimed at describing neutral evolution of natural proteins. We…

Statistical Mechanics · Physics 2009-10-31 Ugo Bastolla , Michele Vendruscolo , H. Eduardo Roman

We use Monte Carlo simulations to study polymer melts consisting of fully flexible and moderately stiff chains in the bond fluctuation model at a volume fraction $0.5$. In order to reduce the local density fluctuations, we test a…

Soft Condensed Matter · Physics 2015-06-24 Hsiao-Ping Hsu

The motion involved in barrier crossing for protein folding are investigated in terms of the chain dynamics of the polymer backbone, completing the microscopic description of protein folding presented in the previous paper. Local reaction…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan