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We analyze a model for a walker moving on a ratchet potential. This model is motivated by the properties of transport of motor proteins, like kinesin and myosin. The walker consists of two feet represented as two particles coupled…

Statistical Mechanics · Physics 2009-11-11 Jose L. Mateos

Active particles contain internal degrees of freedom with the ability to take in and dissipate energy and, in the process, execute systematic movement. Examples include all living organisms and their motile constituents such as molecular…

Soft Condensed Matter · Physics 2015-05-18 Sriram Ramaswamy

The collective behavior of molecular motor proteins have been investigated in the literature using models to describe the long-time dynamics of a unidimensional continuum motor distribution. Here, we consider the phenomena related to the…

Subcellular Processes · Quantitative Biology 2008-03-20 Daniel Gomes Lichtenthaler , Carla Goldman

Enzyme-based systems have been shown to undergo directional motion in response to their substrate gradient. Here, we formulate a kinetic model to analyze the directional movement of an ensemble of protein molecules in response to a gradient…

Biological Physics · Physics 2021-03-26 Niladri Sekhar Mandal , Ayusman Sen

Molecular motors walk along filaments until they detach stochastically with a force-dependent unbinding rate. Here, we show that this unbinding rate can be obtained from the analysis of experimental data of molecular motors moving in…

Biological Physics · Physics 2019-03-18 Florian Berger , Stefan Klumpp , Reinhard Lipowsky

Many aspects of the study of protein folding and dynamics have been affected by the recent advances in machine learning. Methods for the prediction of protein structures from their sequences are now heavily based on machine learning tools.…

Biological Physics · Physics 2019-11-25 Frank Noé , Gianni De Fabritiis , Cecilia Clementi

The mechanical model based on beads and springs, which we recently proposed to study non-specific DNA-protein interactions [J. Chem. Phys. 130, 015103 (2009)], was improved by describing proteins as sets of interconnected beads instead of…

Biological Physics · Physics 2009-10-29 Ana-Maria Florescu , Marc Joyeux

Protein-peptide interactions play essential roles in many cellular processes and their structural characterization is the major focus of current experimental and theoretical research. Two decades ago, it was proposed to employ the steered…

Biomolecules · Quantitative Biology 2018-08-13 Maksim Kouza , Anirban Banerji , Andrzej Kolinski , Irina Buhimschi , Andrzej Kloczkowski

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

Analytical formulas for effective drift, diffusivity, run times, and run lengths are derived for an intracellular transport system consisting of a cargo attached to two cooperative but not identical molecular motors (for example, kinesin-1…

Subcellular Processes · Quantitative Biology 2021-01-22 Joseph J. Klobusicky , John Fricks , Peter R. Kramer

We study numerically the motion of a one dimensional array of Brownian particles in a washboard potential, driven by an external stochastic force and interacting via short range repulsive forces. In particular, we investigate the role of…

Statistical Mechanics · Physics 2009-11-11 Giulio Costantini , Fabio Cecconi , Umberto Marini-Bettolo-Marconi

Several physical mechanisms have been proposed to explain allostery in proteins. They differ by the number of internal states that they assume a protein to occupy, leaving open the question of what controls the emergence of these distinct…

Biomolecules · Quantitative Biology 2021-11-19 Eric Rouviere , Rama Ranganathan , Olivier Rivoire

We study dynamics of a classical particle in a one-dimensional potential, which is composed of two periodic components, that are time-independent, have equal amplitudes and periodicities. One of them is externally driven by a random force…

Statistical Mechanics · Physics 2007-05-23 G. Oshanin , J. Klafter , M. Urbakh

The pinning of an inhomogeneous elastic medium by a disordered substrate is studied analytically and numerically. The static and dynamic properties of a $D$-dimensional system are shown to be equivalent to those of the well known problem of…

Statistical Mechanics · Physics 2009-10-30 D. Cule , T. Hwa

We discuss the force-velocity relations obtained in a two-state crossbridge model for molecular motors. They can be calculated analytically in two limiting cases: for a large number and for one pair of motors. The effect of the…

Soft Condensed Matter · Physics 2008-02-03 Andrej Vilfan , Erwin Frey , Franz Schwabl

Motor proteins display widely different stepping patterns as they move on microtubule tracks, from the deterministic linear or helical motion performed by the protein kinesin to the uncoordinated random steps made by dynein. How these…

Subcellular Processes · Quantitative Biology 2015-09-09 Zsolt Bertalan , Zoe Budrikis , Caterina A. M. La Porta , Stefano Zapperi

Here we generalize our previous model of molecular motors trafficking subdiffusing cargos in viscoelastic cytosol by (i) including mechanochemical coupling between cyclic conformational fluctuations of the motor protein driven by the…

Biological Physics · Physics 2015-05-01 Igor Goychuk

Recent experiments reveal both passive subdiffusion of various nanoparticles and anomalous active transport of such particles by molecular motors in the molecularly crowded environment of living biological cells. Passive and active…

Biological Physics · Physics 2014-03-24 Igor Goychuk , Vasyl O. Kharchenko , R. Metzler

Simple two-state folding kinetics of many small single-domain proteins are characterized by chevron plots with linear folding and unfolding arms consistent with a two-state description of equilibrium thermodynamics. This phenomenon is…

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

Stretching of a protein by a fluid flow is compared to that in a force-clamp apparatus. The comparison is made within a simple topology-based dynamical model of a protein in which the effects of the flow are implemented using Langevin…

Biomolecules · Quantitative Biology 2009-11-13 P. Szymczak , Marek Cieplak