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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

Many different types of cellular cargos are transported bidirectionally along microtubules by teams of molecular motors. The motion of this cargo-motors system has been experimentally characterized in vivo as processive with rather…

Biological Physics · Physics 2017-09-20 Sarah Klein , Cécile Appert-Rolland , Ludger Santen

We use stochastic computer simulations to study the transport of a spherical cargo particle along a microtubule-like track on a planar substrate by several kinesin-like processive motors. Our newly developed adhesive motor dynamics…

Subcellular Processes · Quantitative Biology 2010-02-24 Christian B. Korn , Stefan Klumpp , Reinhard Lipowsky , Ulrich S. Schwarz

Motor-driven intracellular transport of organelles, vesicles, and other molecular cargo is a highly collective process. An individual cargo is often pulled by a team of transport motors, with numbers ranging from only a few to several…

Statistical Mechanics · Physics 2022-01-06 Matthew P. Leighton , David A. Sivak

Intracellular transport is mediated by molecular motors that pull cargos along cytoskeletal filaments. Many cargos move bidirectionally and are transported by two teams of motors which move into opposite directions along the filament. We…

Biological Physics · Physics 2008-12-16 Melanie J. I. Muller , Stefan Klumpp , Reinhard Lipowsky

In many biological systems, the movement of individual agents is commonly characterized as having multiple qualitatively distinct behaviors that arise from various biophysical states. This is true for vesicles in intracellular transport,…

Subcellular Processes · Quantitative Biology 2022-07-25 Maria-Veronica Ciocanel , John Fricks , Peter R. Kramer , Scott A. McKinley

Motor-driven cargo transport is a complex phenomenon where multiple motor proteins attached on to a cargo engage in pulling activity, often leading to tug-of-war, displaying bidirectional motion. However, most mathematical and computational…

Biological Physics · Physics 2016-09-09 Deepak Bhat , Manoj Gopalakrishnan

We consider the dynamics of cargo driven by a collection of interacting molecular motors in the context of an asymmetric simple exclusion processes (ASEP). The model is formulated to account for i) excluded volume interactions, ii) the…

Subcellular Processes · Quantitative Biology 2015-05-13 Carla Goldman , Elisa T. Sena

We describe a system of stochastic differential equations (SDEs) which model the interaction between processive molecular motors, such as kinesin and dynein, and the biomolecular cargo they tow as part of microtubule-based intracellular…

Probability · Mathematics 2011-11-04 Scott A. McKinley , Avanti Athreya , John Fricks , Peter R. Kramer

Most models designed to study the bidirectional movement of cargos as they are driven by molecular motors rely on the idea that motors of different polarities can be coordinated by external agents if arranged into a motor-cargo complex to…

Biological Physics · Physics 2010-06-29 Carla Goldman

Molecular motors are essential components for the biophysical functions of the cell. Our current quantitative understanding of how multiple motors move along a single track is not complete; even though models and theories for single motor…

Biological Physics · Physics 2011-05-06 Yunxin Zhang

Non-processive molecular motors have to work together in ensembles in order to generate appreciable levels of force or movement. In skeletal muscle, for example, hundreds of myosin II molecules cooperate in thick filaments. In non-muscle…

Biological Physics · Physics 2015-06-16 Thorsten Erdmann , Philipp J. Albert , Ulrich S. Schwarz

We study a generic one-dimensional model for an intracellular cargo driven by N motor proteins against an external applied force. The model includes motor-cargo and motor-motor interactions. The cargo motion is described by an over-damped…

Biological Physics · Physics 2017-04-05 Deepak Bhat , Manoj Gopalakrishnan

Cells are complex structures which require considerable amounts of organization via transport of large intracellular cargo. While passive diffusion is often sufficiently fast for the transport of smaller cargo, active transport is necessary…

Biomolecules · Quantitative Biology 2018-08-29 Robert Blackwell , David Jung , Mona Bukenberger , Ana-Sunčana Smith

We analyze theoretically the effects of excluded-volume interactions between motors on the dynamics of a cargo driven by multiple motors. The model considered shares many commons with other recently proposed in the literature, with the…

Biological Physics · Physics 2010-12-15 Sebastian Bouzat , Fernando Falo

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

Quantum Physics · Physics 2009-08-07 Adrian A. Budini Paolo Grigolini

Molecular motors are specialized proteins which perform active, directed transport of cellular cargoes on cytoskeletal filaments. In many cases, cargo motion powered by motor proteins is found to be bidirectional, and may be viewed as a…

Subcellular Processes · Quantitative Biology 2015-06-16 Deepak Bhat , Manoj Gopalakrishnan

We introduce a discrete time microscopic single particle model for kinetic transport. The kinetics is modeled by a two-state Markov chain, the transport by deterministic advection plus a random space step. The position of the particle after…

Probability · Mathematics 2011-06-16 Michel Dekking , Derong Kong

The transport of cargo particles which are pulled by several molecular motors in a cooperative manner is studied theoretically. The transport properties depend primarily on the maximal number, $N$, of motor molecules that may pull…

Subcellular Processes · Quantitative Biology 2007-05-23 Stefan Klumpp , Reinhard Lipowsky

We analyze theoretically the problem of cargo transport along microtubules by motors of two species with opposite polarities. We consider two different one-dimensional models previously developed in the literature. On the one hand, a quite…

Biological Physics · Physics 2011-11-30 Sebastian Bouzat , Fernando Falo
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