A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons

Details A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons

2001-06-20

arxiv.org/abs/cond-mat/0106409v1

MCB: Molecular and Cellular Biomechanics, Vol. 1, pp.267-278 (2004)

Physics

Condensed Matter

Statistical Mechanics

21 pages, 6 figures

Scientific paper

10.3970/mcb.2004.001.267

In recent single-particle tracking (SPT) measurements on {\it Listeria monocytogenes} motility {\em in vitro}, the actin-based stochastic dynamics of the bacterium movement is analyzed statistically (Kuo and McGrath, 2000). The mean-square displacement (MSD) of the detrended trajectory exhibit a linear behavior; it has been suggested that a corresponding analysis for the Brownian ratchet model (Peskin, Odell, & Oster, 1993) leads to a non-monotonic MSD. A simplified version of the Brownian ratchet, when its motion is limited by the bacterium movement, is proposed and analyzed stochastically. Analytical results for the simple model are obtained and statistical data analysis is investigated. The MSD of the stochastic bacterium movement is a quadratic function while the MSD for the detrended trajectory is shown to be linear. The mean velocity and effective diffusion constant of the propelled bacterium in the long-time limit, and the short-time relaxation are obtained from the MSD analysis. The MSD of the gap between actin and the bacterium exhibits an oscillatory behavior when there is a large resistant force from the bacterium. The stochastic model for actin-based motility is also mathematically equivalent to a model for integrate-and-firing neurons. Hence our mathematical results have applications in other biological problems. For comparison, a continuous formalism of the BR model with great analytical simplicity is also studied.

Affiliated with

Also associated with

No associations

Rating

A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Stochastic Analysis of a Brownian Ratchet Model for Actin-Based Motility and Integrate-and-Firing Neurons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517398